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Wavelet Transform - Science topic

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yes you can use your mentioning " wavelet transform, wavelet analysis, Incoeme Filing and Simulink" on Matlab. You can learn below:
Also, you can learn below:
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Wavelet transform can distinguish the positions of different elements well, where the x-axis and y-axis represent the distribution of data in K space and R space respectively.
When I compare data obtained from different samples in the same batch of experiments, using the same conditions to process the EXAFS signal, what does it mean that the peaks are in the same position but with different intensities?
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z coordinate (peak value of a peak having the same R and k values), changes in the wavelet transformation represent
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Hi
If you need to integrate MATLAB code into Simulink, use the function block in the Simulink library. If the code contains elements of the object type, use Level-2 MATLAB S-Function
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Actually, I wish to understand the process and coding to define new wavelet transform. So that I can understand and modify some wavelet transform to get better results. There is inbuilt wavelet transform in MATLAB and we just have to choose wavelets. I wish to define new wavelet transform.
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By converting the signal from 2 dimensional signal to 1 dimensional, the transformation could be processed on vectors.
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If there is enough train data for all fault type cases to clamp to input and output, there will not be a need for a fixed threshold.
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Can anybody
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In very rough terms.Recall convolution.Convolution means etymologically
”mid 16th century: from medieval Latin convolutio(n- ), from convolvere ‘roll together’ (see convolve).”
The idea is to slide a known function over a some data curve to determine how much of the known function is contained in the data curve. As an example if you
slide a sinusoid of a particular harmonic frequency over a periodic curve then you get the amplitude of the known sinusoid contained in the given data curve.This is the familiar Fourier coefficient.Here we do not know the location of the sinusoid
in the data curve only it’s magnitude.
Now in case of wavelet we first define two functions ,the average A and the detail D which is wavy. These are equipped with the property that they can be located at any point in time say T and also expanded at that location ie the scale or frequency or period . This is quite powerful because on a plot of freq/ scale and time we can locate the D in time and determine the freq content at that location.The A gives the remaining part after D is removed at that location.
Finally we can get an intuitive idea of continuous and discrete wavelet transform
by deciding how we slide the Detail and Approx functions.If we slide it in a smooth and continuous manner we get continuous wavelet transform. if we take discrete steps in time to locate the wavelets we get discrete wavelet transform.
Of course this discretisation is different from digital signal processing DSP.
Good Luck
Cheers
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Fourier Transform only provides information about the frequency components in a signal. In order to detect faults both frequency and time information is needed -'Which frequency component was detected in the signal and at what time?'
There is no obligation to use only wavelet transform. Start with short-time fourier transform (STFT) and then try other transforms. What matters is joint time-frequency analysis!
I strongly recommend this article: https://web.iitd.ac.in/~sumeet/WaveletTutorial.pdf
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Siddharth Kamila The primary distinction is that wavelets are localized in both time and frequency, whereas ordinary Fourier transforms are solely concentrated in frequency.
While the Fourier transform generates a frequency domain representation of the signal, the wavelet transform creates a time and frequency domain representation of the signal, giving quick access to localized information about the signal.
The wavelet transform (WT) employs short windows at high frequencies and long windows at low frequencies, as opposed to the typical STFT, which has a single-window size. Wavelets rely on the employment of a mother wavelet function that may be scaled and altered to correspond with signal abnormalities or occurrences.
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it looks like you choose regression instead of classification. a threshold can be used after the results from classifier like if its >0.5 output is 1 else 0. or you can choose 2 output and at the end compare who is bigger. if you have lot of data you can also use deep learning.
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I am currently working on Image Processing of Complex fringes using MATLAB. I have to do the phase wrapping of images using 2D continuous wavelet transform.
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I have been doing research on different issues in the Finance and Accounting discipline for about 5 years. It becomes difficult for me to find some topics which may lead me to do projects, a series of research articles, working papers in the next 5-10 years. There are few journals which have updated research articles in line with the current and future research demand. Therefore, I am looking for such journal(s) that can help me as a guide to design research project that can contribute in the next 5-10 years.
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You don't need to look for any journals.
All you need to do is narrow your search to topics listed in "special issues" and "call for papers". Top publishers e.g. elsevier, wiley, T&F, Emerald, etc., often advertise call for papers and special issues of journals. The topics in the special issue or call for paper can give you some hint on current and future research trends. I think this is the standard practice in academia.
I hope this advice helps.
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I am working on a classification task and I used 2D-DWT as a feature extractor. I want to ask about more details why I can concatenate 2D-DWT coefficients to make image of features. I am thinking to concatenate these coefficients(The horizontal,vertical and diagonal coeeficients) to make an image of features then fed this to CNN but I want to have an convincing and true evidence for this new approach.
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For more simplicity, you can use only the LL coefficients, which achieve best results.
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In systems analysis, wavelet transform is used compared to Fourier transform, because wavelets are functions in which most of their energy is concentrated over a short period of time and converges rapidly.
Are there any articles that discuss the applications of wavelet transform?
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Agree with Rakesh Ranjan
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Hello, I am going to research the signal, which is the demand for electricity, decomposing it into its components using the DWT wavelet transformation. This gives me the detail factors and the approximation factor. the research will consist in finding the best explanatory variables. I have two questions: how to forecast low frequency and how high frequency coefficients? Do you have any advice or suggestions? Best wishes
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Look the link, maybe useful.
Regards,
Shafagat
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instead of wavelet transform theories, have you ever used techniques that have the ability to treat with signals processing specially non-stationary signals like a brain signal and was superior?
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Hi Kareem,
I haven't worked brain signals. However I would suggest you try HOSA toolbox to work on non-stationary signals https://in.mathworks.com/matlabcentral/fileexchange/3013-hosa-higher-order-spectral-analysis-toolbox
Especially, you can try cumulants or bispectrum techniques.
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Although the FRFT has a number of unique properties, it cannot obtain information about local properties of the signal. In addition, the drawback of the short-time FRFT is that its time- and fractional-domain resolutions can not simultaneously be arbitrarily high. As a generalization of the WT, the FRWT combines the advantages of the WT and the FRFT, i.e., it is a linear transformation without cross-term interference and is capable of providing multiresolution analysis and representing signals in the fractional domain. Thus, the FRWT may be potentially useful in the signal processing community and will attract more and more attention.
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Dear researcher
I see in this book an important relationship to your question, I hope you read it.
Best regards
Digital Signal Processing Using MATLAB & Wavelets
by Michael Weeks
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The interactive wavelet plot that was once available on the webpage of colorado (C. Torrence and G. P. Compo, 1998) does not exist anymore. Are there any other trusted sites to compare our plot? And, in what cases we normalize our data by the standard deviation to perform continuous wavelet transform (Morlet)? I have seen that it is not necessary all the time. Few researchers also transform the time series into a series of percentiles believing that the transformed series reacts 'more linearly' to the original signal. So, what actually should we do? I expect an explanation by mainly focusing on data-processing techniques (standardization or normalization or leaving as it is).
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Thank you Abbas Thajeel Alsahlanee and Aparna Sathya Murthy for addressing the question. It was of great help to me. I figured it out through the documentation of statistical methods in python.
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As we know that, Wavelet variance decomposes variance on a scale by scale basis? So, what kind of conclusion can we draw from the wavelet variance analysis? How does it differ from the normal variance?
Picture_Source: Tian, G., Qiao, Z., & Xu, X. (2014). Characteristics of particulate matter (PM10) and its relationship with meteorological factors during 2001–2012 in Beijing. Environmental pollution, 192, 266-274.
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Hi, Ashok
The wavelet decomposition of signal is multi resolution analysis of signal. The normal variance of signal is sum of wavelet variance in different level. So if the variance is more, then indicate about more uncertainty in that level or more unusual activity (as at 300). In other term, there is more information.
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Dear community, after using the wavelet transform to extract the important features from my EEG signals , i'm wondering about how to calculate the Shanon entropy of each value of my coefficients (cD1,cD2,....cA6), another thing is how to use the Shanon entropy for dimension reduction ?
Thank you .
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Hello dear friend Wassim Diai
I hope the next code to calculate the Shanon entropy of given data will be helpful in your work
Wavelet coefficients (cD1,cD2,....A6) will be the entire data.
python 3.7 is used to implement shanon entropy.
pandas library is imported as pd.
Good job
import pandas as pd
data = [3,6,7,12,5,7,.....] #you insert your data here
pd_series = pd.Series(data)
counts = pd_series.value_counts()
entropy = entropy(counts)
print(entropy)
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I have used the wavelet decomposition and reconstruction of a specific signal (for, e.g., rainfall). Among the all-available levels (suppose I have ten low-frequency reconstruction signals), which level provides the information that consists of deterministic components, reflecting the variation characteristics of the provided signal? To add more, the higher approximation levels (such as a8, a9, and a10) indicated the residual of the decomposition process. This level contains the average value of the data series, so the variation characteristics that we are looking into the signal don’t necessarily present as they start showing a flat curve in these levels. On the other hand, Levels a0, a1, and a2 include most of the high frequencies that reduce the correlation and do not significantly improve the signal characterization. So, in between them, which level should be taken into account to study the particularities of the signal. Should we follow the level with high correlation coefficients?
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Narasim Ramesh Thank you again for your response. So, we must compute the sum of squares of ai and di for each layer of decomposition and the layer with lowest value of the sum is the required level we are looking at? How do we compute it at the different levels? For example, if we look at the level A8, what actually are the values of A8 and D8? I mean should we compute it by looking at those graphs or is there any formulation? How do we check that?
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I have applied CWT technique in various solar related disturbances to study temporal variation in TEC over the geographical latitude (26 - 29 degree N) and longitude ( 81 to 87 degrees E). However, none of the results provide better representation in the time-frequency domain. What is the reason behind this? Is there any factor that we can change in CWT code to observe the transients more clearly? Or is there any relevant sites which produce GIM with filtered TEC?
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Ashok Silwal In the time-frequency plane, the time and frequency resolutions depend on the uncertainty relation. That is, the time-bandwidth product cannot go below a fixed value. In the context of wavelet transform, this product becomes the time-scale product. So, choose a wavelet that is the best suited for your application and identify the optimal scale at which the temporal resolution becomes acceptable for your application. The uncertainty relation does not allow arbitrarily fine measurements of both time and scale (or frequency) values together. Also, note that a scale means a band of frequencies and hence relate to the bandwidth corresponding to the time-support of the wavelet used. To get a mathematical description of it, please refer to
Christian Blatter, “Wavelets - A Primer”, A K Peters Ltd, Massachusetts, 1998.
Example: Let x(t) be the time-domain wavelet. And a be a non-zero real-valued scalar. Then x(at) is the wavelet at scale a (magnitude scaling is not included; magnitude scaling should be such that the area under the function x(t) is held constant).
If a < 1, then the wavelet is time-dilated to expand and hence the time-resolution achievable is low and frequency-resolution is high, proportionately.
If a > 1, then the wavelet is time-dilated to shrink and hence the time-resolution achievable is high and frequency-resolution is low, proportionately.
Hope it helps.
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Dear all
I have a 2-dimensional mode shape of one concrete beam and I put the data of mode shape in a matrix (69*3) which the first column in the matrix is x coordination of my beam and the second column of the matrix is the coordination of y and the third column is the mode shape point of each nodal point.
In the case of damage detection can I calculate 2-dimensional wavelet transform for f(x,y)
while I did not define any curve for it and it is a discrete function?
I would appreciate if you help me with Calculation in MATLAB for 2d continuous wavelet transform.
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The chapter 7 of the book "A wavelet tour of signal processing" of Stéphane Mallat is enlightening about the subject of multidimensional wavelets.
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Wavelet transform is being widely used as a method to denoise ecg signal. But it can be argued that it lacks self-adaptation. We need to find a suitable wavelet function but in clinical applications, there are complex noises so we cannot make a universal wavelet function. Is this a correct assumption and if it is then are there any better ways? There is some research going on using deep neural networks to achieve better denoising.
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The denoising of electrocardiogram (ECG) represents the entry point for the processing of this signal. The widely algorithms for ECG denoising are based on discrete wavelet transform (DWT). ... These performances are quantified by some ratios such as the output signal on noise (SNR) and the mean square error (MSE) ratio.
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In several discussions, I have often come across a question on the 'mathematical meaning of the various signal processing techniques' such as Fourier transform, short-term fourier transform, stockwell transform, wavelet transform, etc. - as to what is the real reason for choosing one technique over the other for certain applications.
Apparently, the ability of these techniques to overcome the shortcomings of each other in terms of time-frequency resolution, noise immunity, etc. is not the perfect answer.
I would like to know the opinion of experts in this field.
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Utkarsh Singh There is an esthetic reason in why a mathematical method is of interest in signal processing:
-a beautiful algorithm is well articulated, says what it does in few instructions, and does it in a stable and reliable manner
-this hints to the underlying algebra
With powerful and minimal computation, we go deep into algebra structures: group, rings, fields (see references on Evariste Galois as the inventor of "group" as we know it)
-Fourier transform is an interesting invention: it allows to decompose a signal into resonating modes (as for piano music: you produce a sound at frequency F, but also its harmonic NxF...). Naturally there is the aliasing question and the Nyquist theorem for reconstruction
There are many more time-frequency representations: Fourier, Laplace, discrete or continuous, cosine transform, wavelet transform, etc.
The interesting feature of discrete algorithms for those transforms is that you can implement a butterfly structure.
The key idea is to replace a very large number of multiplications (in brute force "non-esthetic" programming) by a smaller number of additions.
This idea worked for me for developing a codec system using underlying GF(n) properties.
See this patent:
The regularity in the processing and the efficiency of the representation go hand in hand.
Let me go back to a very basic mathematical method: the Gram-Schmidt decomposition: take a sequence of n vectors v(1),..., v(n), and the matrix of cross-products m(i,j)=<v((i),v(j)>. The Gram-Schmidt method diagonalises this matrix. It extracts eigenvalues, and eigen vectors. In frequency terms, it extracts modes (resonating modes present in the signal).
This algorithm highlights the efficiency side of the representation: it's projecting the signal onto something found "in itself", call it principal components if you want.
There are only two reasons for choosing a technique in engineering:
-(i) it addresses the problem completely
-(ii)it's economically implementable.
Both criteria are equally important and a good way to find these is to look for elegant, esthetic solutions (minimal and complete at the same time).
Does it help?
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In essence, the WT is equivalent to a bank of differently scaled linear time-invariant bandpass filters in the Fourier transform (FT) domain [3]. Thus, the WT may be ineffective in dealing with non-stationary signals whose energy is not well concentrated in the FT domain.
Recently, the fractional wavelet transform (FRWT) started to play a very important role in the area of signal analysis.
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Saeid Rashidi you are asking an important question. However, one has to look back at where the models and representations come from.
The idea of wavelet is to "go inside the signal" warp it, shift it, scale it (scale its phase as well), and do what Banach and Hilbert had in mind: decompose a vector signal s(t) over an infinite orthogonalised base e(i,t), going first from i=1 to N (abritrarily large N).
This method does not need to be specifically wavelet, fractional or not. You can apply it with adaptive codebooks for the variable orthogonal base above.
See my patent on an algebraic speech codec (very computationally efficient butterfly structure), as an illustration:
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Dear community , I tried to extract features using continuos wavelets transform using python on my data , but I faced some problems ; my dataset are sleep recordings for 10 patients (physionet sleep dataset) , after selecting a patient randomly ,I kept just 2 eeg channels and dropped the other channels (eog , ecg , emg ) , I extracted the epochs (channel , time , event) , how I can do my feature extraction ?
Thank you
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I am dealing with vibration signals which were acquired from different systems. They are mostly non-stationary and in some cases cyclostationary. What are the less expensive methods for removing noise from the signals? It can be parametric or non-parametric.
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Ijaz Durrani
Thank you so much for providing me with useful information.
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SARIMA model is considered a decomposition model. However, in the literature, I only found figures about its forecasts results and none about its components. By cntrast, in the case of STL algorithm od DECOMPOSE or wavelet transform, the components are usually extracted and visualized.
So is it possible to extract the components and visualize them?
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Hello,
I am not sure I understand: do you want to access the model's stored results or to visualize the series' components?
Each software (R, Stata, etc) gives you the possibility to access the procedure's stored results.
(S)ARIMA is not a "decomposition model", per se, better try another approach. Decomposition / unobserved components model (UCM) analysis.
i.e. if you want to isolate and explore the components (trend-cycle, seasonality, remainders), you may use whatever decomposition method you want (STL, X11/12, etc).
For R I recommend "seasonal" (http://www.seasonal.website/seasonal.html) or "feasts" package; For Stata try "ucm" https://www.stata.com/features/overview/unobserved-components-model/
Regards,
C.
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In hydrology
The signal In the Fourier analysis is decomposed into sinusoidal functions of different frequencies. This method allows the frequency spectrum of the signal to be obtained, but not its location over time. The size of the window during the Fourier analysis of a signal does not give us all the information; therefore, we have to choose between the location of high frequencies and the location of low frequencies. It was therefore necessary to find a tool that induced a construction method that was independent of the scale of analysis. To overcome this difficulty, a new approach, called ‘wavelet transformation’, has been introduced (Meyer et al.1987). Because of their non-stationarity, Meyer et al. (1987), Benner (1999), and Morizet (2006) have already highlighted the ability of wavelet analysis to show that most climate oscillations are non-stationary and do not persist throughout the time series. Among the numerous available techniques (Ghil et al. 2002), powerful wavelet analysis is much preferable to classical Fourier analysis, due to the natural non-stationarity of the hydrological series (Labat et al. 2000). Currently, the studies based on time series analysis are leading to important results, Anderson and Woodhouse (2005) consider the wavelet transform as ‘elegant and appropriate’ for the analysis of climate time series.
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There is a trade off between time resolution and frequency resolution. Modern variations of wavelet transform try to optimize this but are not very effective. The resolution requirements would need chirplet instead of wavelet. The stationary issue would require the windows to moved and rotated . The non linearity would require high order solutions or a curve fitted solution. Since your problem is non linear, non stationary and requires high time-frequency resolution, I recommend using polynomial chirplet transform or spline kernelled chirplet transform.
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If multirate filter banks have been used by engeeniers before wavelets theory, why it is important and useful to know that those filter banks correspond to wavelet functions?
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Yes. The are wavelet functions that are defined in the continuous axis like Gaussian wavelet, and there are others, like Daubechies', that don't have analytical expressions.
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Power Quality Disturbances with Synthetic Data Classification using specially wavelet transform signal processing Techniques in MATLAB
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To increase the fields that can be covered with applying Wavelet transformations inside it, we need to know any related cases that need or can get benefits of applying the WT.
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🌹🌹 Dear
Firas Mahmood Mustafa
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Matlab/GNU Octave time frequency analysis code for LTFAT package (morlet wavelet transform)
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Use Matlab help you can find the code
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Do anyone know where to read about optimised gabor filters ? is optimised gabor filter a wavelet transform ?
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I hope that the following link can help:
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I want to know the procedure for apply wavelet transform to PQDs in MATLAB software,
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Maximum of image watermarking scheme has been implemented in DWT domain. In that also watermarking is done in LL Sub band . Why watermarking is not preferred in other sub-band specially in HH sub-band.
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most of energy in the LL then get robustness but loss imperceptible so many researcher in the last year prefer HL or LH to get robustness with imperceptible
because if you are using HH get imperceptible and loss robustness
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I'm trying to analyse the similarities between the two different audio signals I had used cross-correlation, but I'm finding difficulty in analyzing the correlated output, In general, what are parameters have to be considered for analyzing the audio signals, Is wavelet transform a better option or STFT?
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Hello,
To do so, you can use :
1- the cepstral distance
2 - the squared distance of the error computed between the AR coefficients of the two signals
3- the Itakura-Saïto measure that can be computed (a) directely from the PSD periodogram estimates or (b) from the AR (autoregressive) coefficients
4 - the log likelihood ratio distorsion measure
5- a perceptual measure such that the standardized PEAQ (Perceptual Evaluation of Audio Quality)
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Currently, I am working on image restoration. I know about DFT, DCT, but my work is related with wavelet transformation (specially, DWT). Can anyone help me through his/her valuable suggestions that from where I need to begin to learn wavelet transformation (specially, DWT)?
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Thank you very much for your kind responses.
Again, I am expressing my gratitude to you ( A. Ouahabi & Firas Mahmood Mustafa).
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What is mean by directional wavelet transform? can anybody share the code for 2D directional wavelet transform?
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Thank you all
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I have fNIRS signal and I have applied wavelet transform both continuous and discrete but I am unable to separate the different frequencies on the basis of coefficients . I want to know how can I tell that which coefficient is for which frequency.
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Dear Basiq,
Based of your frequency band of interest you should find the level of decomposition related with sampling frequency, every wavelet level have half of the previous level samples.
Fs=2^n
Fs=Sampling frequency and n=wavelet level.
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Since, when i compressed my image by using wavelet transform upto the 3rd level , now i want to reconstruct the image by using compressive sensing , so would you please suggest me , this is the correct step or not. I am not want to use the idwt for reconstruct the image.
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Thanx to all for sharing yr views.... yes i know for reconstructing the image, i have to follow the reverse process... but the query is that is .. i want to use compressive sensing(CS) technique for reconstructing the image....so in a CS, i also use the IDWT method or not....?
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I'm trying to design a wavelet. I extracted signal from transient for my wavelet. How to calculate coefficients of low-pass and high-pass filters for wavelet transform filter bank?
Maybe you can recommend some literature. I have read many literature about wavelet (Mallat, Daubechies and other mathematical books) but it's require deep knowledge in mathematics.
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Dear Valery,
To calculate the coefficients for a wavelet filter you can check:
To use custom wavelets for a filter bank you can check:
If you would like to like to read some additional wavelet literature together with some tutorials and practice assignments to better understand the "deep knowledge in mathematics," I would recommend:
Hope this helps!
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Hi,
I was reading an article, it used synchrosqueezed wavelet transform to decompose the following signal in its fundamental modes. Please, can anyone explain why I can't reach the same conclusion using "wsst" function in MatLab?
As can be seen, the modes (curves) I extracted are not exponentially decaying like the article.
Here's the link of the paper. Please read section 2.2 : sciencedirect.com/science/article/pii/S0952197615002341
I've attached my code and results. Thanks in advance for the help.
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Thanks, I really appreciate it.
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I wanted to Know detailed method in steps for detecting Feature Extraction of ECG signal
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I am doing mathematical analysis of Wavelet transform, my problem is a Single Degree of Freedom (SDOF) self excited linear vibrations (both damped and undamped cases). The following are required for doing wavelet analysis:
1. selection of mother wavelet,
2. construction of mother wavelet equation.
3. construction of real signal for the defined problem
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Previously I worked with the attatched dataset in order to classify the normal and ictal EEG signals. Which is available at
  1. V. Bajaj and R. Pachori, “Classification of seizure and non-seizure EEG signals using empirical mode decomposition,” IEEE Trans. Inf. Technol. Biomed., vol. 16, no. 6, pp. 1135–1142, Nov. 2012.
  2. EEG Time Series Download Page 2012 [Online]. Available:http://epileptologie-bonn.de/cms/front_content.php?idcat=193&lang3
But in the following research paper I come to know about CHBMIT EEG dataset
The attatched file contains the information about normal (Z) and ictal (S) EEG signals. But in case of CHBMIT dataset I am getting confused which dataset is exactly containing almost same information like subset S and subset Z. because lots of information is given in the link of CHBMIT dataset. Can anybody, give me the clean dataset of CHBMIT that will contain only the normal and ictal EEG signals of length 2048 samples as found in the research paper V. Geethu et al..
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Check out the International Epilepsy Electrophysiology Portal (University of Pennsylvania, the Mayo Clinic, NIH). Annotated intracranial EEG data were freely available at https://www.ieeg.org/
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Maximum of research paper on Dwt Watermarking follows the equation Watermarked=Cover +(alpha * watermark) but few paper uses, Watermarked=(1-alpha)Cover +(alpha * watermark). What is the difference between these two equation and whats its impact on watermarking scheme.
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The research paper are using "Watermarked=Cover +(alpha * watermark)" because most of the algorithms are applied in transform domain and embedding watermark in transform domain with assumption that the transform coefficients are slightly modified. And reconstructing image by modified coefficients.
If you use want to "Watermarked=(1-alpha)Cover +(alpha * watermark)" then alpha should be small otherwise it watermark will reduced cover image feature and create visual artifacts. The alpha can not be 0 or 1, it will be between 0 to 1 depends on image and watermark characteristics.
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I am using a haar wavelet packet to extract the EEG brain rhythms (alpha, beta, theta, delta and gamma) and i would like to know if it is possible to extract the individual alpha frequency (IAF) using this wavelet and how to do it.
Thank you in advance.
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yes, you can. I would suggest applying a BPF in the band 5 to 20 Hz, then wavelet. It will work good.
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I am using PyWavelets to make wavelike transform to the images by using python language. PyWavelets convert my images to grayscale images, How can I use PyWavelets with color images?
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The best way by transforming each layer (R, G, and B) individually. This is not because there is no function for direct 3D transformation, but the human vision system has different sensitivity for each layer . So that you can easily specify the interest frequency bands in your application. In general, the main purpose of the wavelet transformation is to obtain multi-scales (multi-bands) images in both spacial and frequency domains.
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I know that Wavelet transform Coherence is the most common method to find the linkage between two time series, in field of finance.
  • Can we use Singular Spectrum Analysis to find out the linkage of two time series?
  • If it's possible so what is the disadvantages of Singular Spectrum Analysis that most of researchers use Wavelet transform coherence?
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  • Singular spectrum analysis (SSA) is mainly driven by the data and wavelet coherence could be influenced by the choice of the mother wavelet function.
  • Multivariate singular spectrum analysis generalized SSA to multiple time series but now this generalization is also possible with wavelet analysis and the use of generalized wavelet coherence (see Chavez, M., & Cazelles, B. (2019). Detecting dynamic spatial correlation patterns with generalized wavelet coherence and non-stationary surrogate data. Scientific reports, 9(1), 7389.)
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Geometric wAvelet transform for seismic attributes, curvature attributes seismic interpretation
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You can try with Curvelet transform, check the following for the paper and for the free toolbox:
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Hi...
Can anybody share the code for smoothing a signal using continuous wavelet transform method in matlab
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Hello,
You can have a look at http://www.jmlilly.net/jmlcourse.html .
Especially of interest for you would be the material and first examples of course 12. see http://www.jmlilly.net/course/v3/WaveletAnalysisDemo.html
Best regards
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Esteemed Academicians,
May I request you to kindly provide me an opportunity for joint research work on wavelet transform seismic signal
WITH BEST REGARDS
SUNJAY
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Hello
I would be happy to have this collaboration.
Here is my email,
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I am working on a project where I have to collect real time data of dc drives using harmonic analyzer and then have to analyze the data using wavelet transform using Matlab to find inter-harmonics in system.
I am having problem while plotting and analyzing wavelet transform?
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Dear Aparna,
Find the excel file attached here. Its containing values of voltage at the input of a load against the time. Its some random data but my real time data will be of almost same type.
Can you please plot its wavelet transform to show the harmonics and inter harmonics present in the system?
Moreover, kindly guide me a little regarding the interpretation of wavelet transform.
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we are trying to implement this journal.
what kind of wavelet transforms can be used instead of discrete wavelet transform(dwt) and empirical wavelet transform(ewt) and in an hybrid approach either increasing the accuracy or making the time complexity less .
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Dear Researchers,
I want to perform periodicity analysis in hydro-climatology data series. I have gone through some literature but did not successfully solve the problem. Your expert opinion is required.
I have attached some pictures as an example, what I actually want.
Regards
Naveed.
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I am working on Brain Tumor Detection. I have to apply Berkeley Wavelet Transformation in segmentation. Can any one guide me how can i do the segmentation?
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Salam
Here is some interesting links to see:
(PDF) Image Analysis for MRI Based Brain Tumor Detection and ...
https://www.researchgate.net/.../314257965_Image_Analysis_for_... - Traduire cette page30 mars 2017 - PDF | The segmentation, detection, and extraction of infected tumor area frommagnetic resonance (MR) images are a ... Berkeley wavelet transformation (BWT) based brain tumor segmentation. ... Application of ANN and ANFIS for detection of brain tumors in MRIs by using DWT and GLCM texture analysis.[PDF]
Brain tumour detection using discrete wavelet transform based ...
Traduire cette pagede P Rangarajan - ‎2017 - ‎Cité 15 fois - ‎Autres articles11 juin 2016 - Brain tumour detection using discrete wavelet transform based medical ... MRI and. PET images are fused based on image enhancement and fusion technique that has been implemented and simulated in MATLAB. The fused ...Termes manquants : berkeley
Image Analysis for MRI Based Brain Tumor Detection and Feature ...
Traduire cette pagede NB Bahadure - ‎2017 - ‎Cité 40 fois - ‎Autres articles16 févr. 2017 - The benign brain tumor has a uniformity in structure and does not contain active .... ofbiologically inspired Berkeley wavelet transformation (BWT) and SVM as a ..... The proposed algorithm was carried out using Matlab 7.12.0 ...
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Anyone please suggest me some tutorials/documents where I could learn about the de-nosing technique of Ultrasound Images?
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Hi,
I need to know the computational complexities to extract the texture feature from an image using the Wavelet Transform . Also, I should know the limitations of Wavelet while it captures texture features from an image. Besides, I need to know the advantages of Gradient Local Auto-correlation texture descriptor over the Wavelet texture descriptor. I expect your invaluable feedback regarding the issue. Thanks in advance!!!!
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The computational complexity of a feature-based texture segmentation algorithm is limited by the dimensional of the feature space[] . In advance, the Wavelet Transform has an overall computational complexity of O(N logN). the state-of-the-art researches declared that the wavelet texture feature has lower accuracy segmentation (negative effect) and lower computational complexity (positive effect) compared to direct texture features. the following reference can help you in this way:
[1] Ng, B.W., 2003. Wavelet based image texture segmentation using a modified K-means algorithm/by Brian W. Ng (Doctoral dissertation).
[2] Bhalerao, Abhir H., and Nasir M. Rajpoot. "Discriminant feature selection for texture classification." (2003).
I hope it can be useful.
Regards
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Good Evening Sir/ Ma'am.
I work in research right now about feature extraction from ECG signal, for beat classification. I use wavelet transformation to get the feature. But the one thing that I'm not sure about, is the approach for extracting feature from wavelet decomposition.
I using DWT 1D for the signal and use 2-Level only. I still curious about how to extract the feature, with statistical approach or another else. Because there're lack information about wavelet feature, due most publication using wavelet as pre-processing step only, not to extract the feature.
Any helps are appreciated. Thanks
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Dear Yosafat Vincent Saragih ,
Is there any necessity to use the wavelet transformation. If you need to count the beat of ECG you can use simple statistical theory. We actually use WT when time-frequency problem arises. Please clarify your problem with more specification so that it can be easier to help you. All the best.
Regards!
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Hello, could somebody help to compute the phase angle of more than two images (Sequences of images) using complex morlet in wavelet transform?
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Hello Vikas,
I am trying to compute the phase angle information of the recorded images using Morlet Wavelet analysis in MATLAB. As an example, I have 250 sequential images of size 640x480 pixel. For this case, what are scale and shift and how can we determine the appropriate scale and shift?
Can you please share your idea in detail?
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Trying to figure out why some singularity signal processing papers use:
|Wf(a,u)| = A*s^(alpha) to determine lipschitz regularity after wavelet transform and some papers use:
|Wf(a,u)| = A*s^(alpha + 1/2).
I would like to do a least squares regression across scales to determine lipschitz regularity and there seems to be a small delta between the CWT and the DWT (DWT seems to be a little greater, but not by 1/2).
I looked through the Mallat's papers on signal processing singularity detection, but the 1/2 term does not show up. Not sure if the 1/2 is from going to a DWT versus a CWT.
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This is far from a straight problem. If you are dealing with fractal series like fractional brownian motion, the information appears in the variance of your details series. (I won't develop here, this is explained in the literature, see for instance my paper Estimation of the self-similarity parameter using the wavelet transform, Signal Processing, Jan 2004, as a starting point). You compute your wavelet transform, determine the estimated variance of the details series, and then the parameter H may be estimated after taking the log2 of the variances which is proportional to (2H + 1). But you may have to eliminate part of your spectrum to find the linear part you are looking for.
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Hi, I am working on image watermarking using dtcwt(dual tree complex wavelet transform).
My question is:
1)Does my understanding that decomposition using this technique produces 8 sub bands for each tree(4 real and 4 imaginary)? And if yes, how can I get the coefficients of each sub band(HL,LH,HH).I see the explanation of MATLAB, but I can't get it.
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Zebbiche, K., Khelifi, F., & Loukhaoukha, K. (2018). Robust additive watermarking in the DTCWT domain based on perceptual masking. Multimedia Tools and Applications, 1-24.
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I've crossed with a question about the time stamp (dt = time resolution) of my series and the frecuency resolution (number of sub octave) for my data. At first I think that for quarterly data dt must be 1/4 because 4 quarters make a year, but i don't have any idea about the sampling resolution.
Currently I'm using the WaveleComp package from R (https://cran.r-project.org/web/packages/WaveletComp/WaveletComp.pdf)
Any help or reference would be great,
Thanks
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Not sure what your data is about, but in the Fast Fourier Transform (FFT)world the Nyquist theorem says that when you digitize a signal, to make sense, you need at least two points per period. Meaning your dt interval should be at least half or less than the periodicity of your highest frequency component of your periodic signal. Most of the time, you do not know what is this highest frequency, but you can make an educated guess by choosing how you want to model your problem.
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It is not clear to me how the CWT function handles edge effects for a finite length time series. How to remove this edge effect in wavelets using the MATLAB toolbox and any procedure is there for it?
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Hi,
There are various techniques to improve edge effect, such as zero padding, periodic extension, symmetric extension and data windowing.
Wish my answer could help you.
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I have a signal from an accelerometer of a cantilever beam and I did a wavelet transformation of the signal where you can see it in foto1. But in order to study the damping, I need to get the average power of the wavelet and plot the time-overall power of wavelets. How can I do this in Matlab? What function may I use?
Thank you in advance.
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Power spectral density can be used
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In DWT by using wavedec function we can decompose the signal and by using detcoef function we can find out the approximation and detail coefficients at different levels. Is there any such function in MATLAB for Complex wavelet transform ? Can anyone help me in this?
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@Aparna mam, I have already done the same thing by using DWT. But now I am trying to to do by using complex wavelet transform.
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Both the techniques, wavelet and independent component analysis are used to decompose signal or image, such that they can be used to find the relevant components. On what factors, we can compare them?
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That's a nice question. I see ICA as a dimensionality reduction tool and Wavelet transform as a dimentinalty increase tool.
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Working on Music synthesis of Indian Classical Instruments .
So first want to do analysis of Music signals.
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Thank you Sir for responding.
Actually I tried with the same recommended function , but getting the error 'Input grid is not a valid MESHGRID'. So can not proceed.
Can you help me out ?
Thanking you once again.
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I’m interested in building up an experimental setup for motor current signature analysis. Since I’m not from an electrical engineering background I do have some doubt regarding the equipment like sensors and DAQs. Many literatures are showing expensive equipment used for experimental setup. Will it be enough to use a DAQ (https://www.dataq.com/products/di-1110/) with up to 160 kHz maximum throughput sampling rate and 4-20-mA to get current waveform required to do motor signature analysis using discreet wavelet transform? Can you also suggest a cost effective current sensor?
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For DWT analysis, the sampling frequency is sufficient to extract fault frequency. The fault frequency is normally in the range of 500 Hz depends on faults type. The current value does not contribute any fault feature.
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Free tool.
HRV analysis.
Wavelet transform.
Morlet mother wavelet.
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You can use wmtsa package of R or wavelet toolbox of matlab
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I'm analyzing fatigue in brachii muscles during cyclic dynamic contractions. from literature, i came to know that RMS and median mean frequency are not proper parameters to estimate muscle fatigue during dynamic contractions. some researchers suggested RQA time analysis, iEMG, instantaneous mean and median frequency, IIS, wavelet transform etc etc.
are the instantaneous mean, instantaneous median frequency, integrated EMG for RMS are correct options???
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Following parameters have been used in literature for peripheral fatigue analysis in skeletal muscles.
ARV Average Rectified Value (isometric, dynamic)
DSP Dimitrov Spectral Parameters
iEMG integrated EMG (dynamic)
MaAV Maximal Amplitude Value (dynamic)*
MAV Mean Amplitude Value (average EMG value) (isometric, dynamic)
MDF Median Frequency ( isometric, dynamic)
MDFFFT Median Frequency using FFT (delicate movements, dynamic, isometric)
MDFSTFT Median Frequency using FFT (dynamic, isometric)
MFA Multi-fractal Analysis (dynamic)
MPF Mean Power Frequency (delicate movements, dynamic, isometric)
MPFDFT Mean Power Frequency using DFT (isometric)
MPFin Instantaneous Mean Power Frequency (dynamic)
RMS Root Mean Square (delicate movements, dynamic, isometric)
RQA Reoccurrence Quantification Analysis (dynamic)
WIG Wavelet Index by Gonzalez (dynamic)
*Luttmann, A. and Jager, M., “Reduction of Muscular Strain by Work Design: Electromyographical Field Studies in a Weaving Mill,” in: Advances in Industrial Ergonomics and Safety IV, Kumar, S., (Ed.), Taylor & Francis, pp. 553-560, 1992.
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I have found some integer wavelet transforms whose names are like analysis filter coefficients/ synthesis filter coefficients. And some represented as analysis filter coefficients/ synthesis filter coefficients-X. Here I need to know what that X implies.
Example for first case:
5/3
2/6
2/10
Example for second case:
9/7-M
13/7-T
9/7-F
Thank you.
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Thank you for your response. I have gone through the documents I couldn't get the exact meaning of those letters.