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Second‐order circular auto‐correlation function of complementary Golay sequences

Second‐order circular auto‐correlation function of complementary Golay sequences

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Article
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This study describes a time domain channel sounder based on binary sequences. The channel sounder system consists of several off-the-shelf laboratory instruments and is controlled by a PC. The frequency band of interest is the unlicensed millimetre wave band, 57-64 GHz. A crucial feature of the proposed system is its fast measurement speed enabling...

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... The collaboration included exchange of ideas for channel sounder construction, joint planning of measurement campaigns (to have some comparable measurements in different cities, and otherwise avoid excessive overlap between the measured scenarios), as well as joint evaluation and interpretation of the measurements. Results from these campaigns were presented in a series of research papers [2]- [14]. The aim of the current paper is to systematically present and compare the channel sounders, measurement scenarios, and results of those campaigns. ...
... The Golay complementary pair consisting of 2 × 2048 bits is combined with the inverted counterparts (another 2 × 2048 bits); this is done to suppress spurs that decrease the dynamic range produced by nonlinear behavior of the PA, LNA and mixers [14]. Each sequence is sent twice to facilitate channel estimation in the presence of multipath propagation, i.e. a recurring sequence of 8 × 2048 bits (two repetitions of the complementary pair and its inversion), is used for channel sounding. ...
... Alternatively, some works have evaluated the performance of DPD using simulations or models scaled to lower frequency bands [36]. Some of the existing test-beds, such as our time-domain channel sounder [37], are able to process the wide bandwidths of several GHz, but without the capability of transmitting I/Q data, whereas other mm-wave setups allow for arbitrary I/Q data transmission, but with the bandwidths limited far below 100 MHz [15]. ...
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... Another important component is the V-band up/down converter (model: SiversIma FC1005V/00, FC1003V/01) which made the use of signal analyzer and the oscilloscope possible by up converting the transmitted sequence into the mmWave band with center frequency of 59.6 GHz. Details of the measurement site and the measurement setup are available in [23] and [24], respectively. ...
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... It is composed of a pseudo-random binary sequence (PRBS) transmitter (TX) and a correlation receiver (RX). It employs Golay complementary sequences as the excitation PRBS signal, because of their very good correlation properties, minimal leakage effects caused by FFT [13], and a great ability to mitigate unwanted nonlinearity effects produced by channel sounder analog circuits [14]. The transmitter is based on an Anritsu MP1800A Signal Quality Analyzer working as a PRBS generator. ...
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... For example, the maximal length binary sequences (known as the M-sequences) have very good correlation properties (almost zero periodic correlation except for the peak) and, due to their periodicity, also minimal leakage effects caused by FFT [14]. Golay complementary sequences have similar properties and, moreover, they exhibit a great ability to mitigate unwanted nonlinearity effects produced by channel sounder analog circuits [17]. ...
... Assuming the speed of light c = 3×10 8 m/s we can obtain the maximum observable distance L max = 49.15 m. The Golay complementary sequences have also convenient properties when non-linear components are used in the measurement chain as mentioned above and described in [17]. Selected system parameters are summarized in Table 1 (see also Section III). ...
... Because some blocks of the channel sounder (especially amplifiers and mixers) exhibit nonlinear behavior and produce plenty of spurs, which can significantly decrease the dynamic range [23], the Golay complementary pair marked as A(t), B(t) is combined with the inverted counterparts -A(t) and -B(t) [17]. Each sequence is sent twice to reduce the overlapping ratio of different sequences caused by a multipath propagation. ...