Upper Bounds on the Partial Correlation of PN Sequences

Hemmati, F.; Schilling, D. L.

doi:10.1109/tcom.1983.1095899

Cited by 9 publications

(10 citation statements)

References 2 publications

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“…The most meaningful results would then be obtained by averaging over all K and D. Unfortunately, for fairly long codes these computations would be prohibitive because of the time required for processing, and the results would only apply to the particular code sequence chosen. Another approach, that is frequently used in similar situations 5; 6], is to assume the sequence fc j g to be random 2 The random variable R in (4), being a sum of two independent Gaussian r.v. 's, is now also Gaussian.…”

Section: Correlator Modelingmentioning

confidence: 99%

“…We are interested in obtaining the distribution for the modulus jYj of the complex r.v. Y given by (2). This problem has been studied extensively in contexts of multipath reception 17], demodulation in the presence of cochannel interference 18], analog FDMA 19], and a host of other problems.…”

Section: Exact Analysismentioning

confidence: 99%

“…These previous analyses were based on the theory of circularly symmetric random vectors. From (2) it is readily seen that the p.d.f. of the complex r.v.…”

Section: Exact Analysismentioning

confidence: 99%

“…where 2 N is the variance of the real and imaginary parts of N, Ef g denotes expectation, and L n ( ) is the n-th order Laguerre polynomial with parameter , ( 22], p. 1037)…”

Section: Exact Analysismentioning

confidence: 99%

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Analysis of non-coherent correlation in DS/BPSK spread spectrum acquisition

Jovanovic

Sousa

1995

IEEE Trans. Commun.

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coherent detectors for initial code synchronization (acquisition) of BPSK direct sequence spread spectrum signals on an AWGN channel are analyzed. In addition to the thermal noise, in many applications such detectors are faced with the \self-noise", due to the partial period correlations. Under the random code sequences assumption, in this paper an exact analysis of the non-coherent correlator's detection performance is carried out by using the theory of circularly symmetric random variables. The exact analysis shows that the familiar Gaussian approximation to the distribution function of the code self-noise is justi ed for all cases of practical interest. Furthermore, the overall detection performance was found to be determined asymptotically by the sum of the thermal and correlator's self-noise. In most cases of practical interest, this asymptotic result provides a very good approximation to the actual detection performance of a non-coherent correlator, improving the approximations devised previously.

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Section: Correlator Modelingmentioning

confidence: 99%

Section: Exact Analysismentioning

confidence: 99%

“…These previous analyses were based on the theory of circularly symmetric random vectors. From (2) it is readily seen that the p.d.f. of the complex r.v.…”

Section: Exact Analysismentioning

confidence: 99%

“…where 2 N is the variance of the real and imaginary parts of N, Ef g denotes expectation, and L n ( ) is the n-th order Laguerre polynomial with parameter , ( 22], p. 1037)…”

Section: Exact Analysismentioning

confidence: 99%

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Analysis of non-coherent correlation in DS/BPSK spread spectrum acquisition

Jovanovic

Sousa

1995

IEEE Trans. Commun.

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“…Similarly, in Wi-Fi [15], PN sequences are used as the preamble signals for time and frequency acquisition. A complex PN sequence has a periodic autocorrelation of [4], [5], [9] γ PN (κ 1 , κ 2 …”

Section: Introductionmentioning

confidence: 99%

Analysis of the Frequency Offset Effect on Zadoff–Chu Sequence Timing Performance

Hua

Wang

Yang

et al. 2014

IEEE Trans. Commun.

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Zadoff-Chu (ZC) sequences have been used as synchronization sequences in modern wireless communication systems, replacing the conventional pseudorandom noise sequences due to their perfect autocorrelation properties. We first study the problem of ambiguity between a timing offset and a frequency offset, which arises when a ZC sequence is used as a synchronization signal. We then show how a frequency offset can impair the timing property of a ZC sequence, causing irreducible timing errors. An analytical framework, particularly the timing spectrum, is developed, which fully characterizes a ZC sequence's timing properties and its fundamental limitations as a time synchronization sequence in the presence of a frequency offset between the transmitter and the receiver. This analytical framework provides a powerful analytical tool for timing signal design and performance analysis of ZC sequences.

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Sequential acquisition of PN sequences for DS/SS communications: design and performance

Lee

Tantaratana

1992

IEEE J. Select. Areas Commun.

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Upper Bounds on the Partial Correlation of PN Sequences

Cited by 9 publications

References 2 publications

Analysis of non-coherent correlation in DS/BPSK spread spectrum acquisition

Analysis of non-coherent correlation in DS/BPSK spread spectrum acquisition

Analysis of the Frequency Offset Effect on Zadoff–Chu Sequence Timing Performance

Sequential acquisition of PN sequences for DS/SS communications: design and performance

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