Spectrally Efficient UWB Pulse Shaping With Application in Orthogonal PSM

COPPE, Fed. Univ. of Rio de Janeiro
IEEE Transactions on Communications (Impact Factor: 1.99). 03/2007; 55(2):313 - 322. DOI: 10.1109/TCOMM.2006.887493
Source: IEEE Xplore


In this paper, we present a method to obtain a set of orthogonal pulses to be used in pulse-shape modulation (PSM) for ultra-wideband communications. The pulses are built as linear combinations of Hermite functions, which are shown to have unique advantageous features. Mathematical restrictions of orthogonality and spectral efficiency are introduced as guidelines to a fully explained search procedure to find the best set of pulses. Additionally, this procedure is adapted and used to find a single FCC-compliant pulse shape. A quaternary PSM scheme is implemented with orthogonal pulses obtained by the proposed method, and the results of a simulation are shown

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    • "A differentiator is one of these essential signal processing elements which provides n-th order time derivative of the complex envelope of an arbitrary input optical pulse. In addition to signal processing purposes [1], a temporal differentiator can be used for ultra-fast signal generation [2], [3], and ultra-high-speed coding [4], [5]. Numerous techniques have been proposed recently to implement all-optical temporal differentiators. "
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    ABSTRACT: We propose and demonstrate an optically tunable photonic fractional temporal differentiator using a tilted fiber Bragg grating written in an erbium/ytterbium (Er-Yb) co-doped fiber. Thanks to the high absorption of the Er-Yb co-doped fiber, when it is pumped the refractive index is changed, and thus the phase of a cladding mode resonant wavelength is changed continuously by continuous tuning of the pumping power. By locating the wavelength of the input light wave at the location of a cladding mode resonant wavelength, a temporal differentiator with a tunable fractional order is achieved. The proposed technique is experimentally evaluated. A temporal differentiator with a tunable fractional order is demonstrated. The use of the fractional differentiator to implement temporal differentiation of a Gaussian pulse with a bandwidth of 28 and 75 GHz is also demonstrated.
    IEEE Photonics Technology Letters 05/2012; 24(9):730-732. DOI:10.1109/LPT.2012.2187331 · 2.11 Impact Factor
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    • "Recently, the authors in [19] have compared the bandwidth requirement of the conventional SM scheme assumed to be employing raised-cosine filter/half-sine filter with that of the TOPS assisted SSK scheme employing Hermite polynomial based TOPS filter [20]. It was shown in April 26, 2012 DRAFT [19] that under stringent conditions on the energy containment, the bandwidth required by the TOPS assisted SM scheme is lesser than that of the conventional SM scheme. "
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    ABSTRACT: Motivated by the recent developments in the Space Shift Keying (SSK) and Spatial Modulation (SM) systems which employ Time-Orthogonal Pulse Shaping (TOPS) filters to achieve transmit diversity gains, we propose TOPS for Space-Time Block Codes (STBC). We show that any STBC whose set of weight matrices partitions into P subsets under the equivalence relation termed as Common Support Relation can be made P -group decodable by properly employing TOPS waveforms across space and time. Furthermore, by considering some of the well known STBCs in the literature we show that the order of their Maximum Likelihood decoding complexity can be greatly reduced by the application of TOPS.
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    • ", [25]. "
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    ABSTRACT: In this paper, we study the performance of space modulation for Multiple-Input-Multiple-Output (MIMO) wireless systems with imperfect channel knowledge at the receiver. We focus our attention on two transmission technologies, which are the building blocks of space modulation: i) Space Shift Keying (SSK) modulation; and ii) Time-Orthogonal-Signal-Design (TOSD-) SSK modulation, which is an improved version of SSK modulation providing transmit-diversity. We develop a single-integral closed-form analytical framework to compute the Average Bit Error Probability (ABEP) of a mismatched detector for both SSK and TOSD-SSK modulations. The framework exploits the theory of quadratic-forms in conditional complex Gaussian Random Variables (RVs) along with the Gil-Pelaez inversion theorem. The analytical model is very general and can be used for arbitrary transmit- and receive-antennas, fading distributions, fading spatial correlations, and training pilots. The analytical derivation is substantiated through Monte Carlo simulations, and it is shown, over independent and identically distributed (i.i.d.) Rayleigh fading channels, that SSK modulation is as robust as single-antenna systems to imperfect channel knowledge, and that TOSD-SSK modulation is more robust to channel estimation errors than the Alamouti scheme. Furthermore, it is pointed out that only few training pilots are needed to get reliable enough channel estimates for data detection, and that transmit- and receive-diversity of SSK and TOSD-SSK modulations are preserved even with imperfect channel knowledge.
    IEEE Transactions on Communications 01/2012; 60(4). DOI:10.1109/TCOMM.2012.021712.100778 · 1.99 Impact Factor
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