Bounds on partial correlations of sequences

Paterson, Kenneth G.; Lothian, Paul

doi:10.1109/18.669265

Cited by 18 publications

(7 citation statements)

References 22 publications

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“…Thus, when the value of varies, the absolute value of (11) is maximum when the first term is the sum of as many points as possible in the upper (lower) half-plane since the second term is then the sum of some points in the lower (upper) half-plane. This occurs when Therefore, we have (12) since and consequently The BMMO occurs when , at which time and, consequently, the BMMO is from (10).…”

Section: B Correlation Functions Of the Sp Sequencementioning

confidence: 97%

“…Theorem 2: The maximum magnitude of the OCC (MMO) of the SP sequence is (10) where and denotes the largest integer equal to or less than . Note that the MMO is a function of and .…”

Section: B Correlation Functions Of the Sp Sequencementioning

confidence: 99%

“…In practice, since there is only few sequence with known OC property, when we select signature sequences for DS/CDMA systems, we usually select a class of sequences for which the maximum EC is small, in the hope that the selected sequences would also have a good OC property. Some analyses on OC have been considered in [9] and [10].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A new polyphase sequence with perfect even and good odd cross-correlation functions for DS/CDMA systems

Park

Song

Yoon

et al. 2002

IEEE Trans. Veh. Technol.

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In this paper, a class of polyphase signature sequences for direct-sequence code-division multiple-access (DS/CDMA) systems is proposed. The proposed class has zero periodic (= even) cross-correlation (CC) function and approximate maximum magnitude of odd cross-correlation (OCC), where is the length of sequences. Although the maximum magnitude is relatively large, it is observed that the maximum magnitude has little effect on the performance of the DS/CDMA system, since its frequency is very low. The performance of the proposed sequence in DS/CDMA systems is investigated and shown to be better than that of other sequences for asynchronous additive white Gaussian noise channel environment with and without Rayleigh multipath fading.

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Section: B Correlation Functions Of the Sp Sequencementioning

confidence: 97%

“…Theorem 2: The maximum magnitude of the OCC (MMO) of the SP sequence is (10) where and denotes the largest integer equal to or less than . Note that the MMO is a function of and .…”

Section: B Correlation Functions Of the Sp Sequencementioning

confidence: 99%

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A new polyphase sequence with perfect even and good odd cross-correlation functions for DS/CDMA systems

Park

Song

Yoon

et al. 2002

IEEE Trans. Veh. Technol.

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“…Paterson and Lothian [9] gave an alternative expression of the partial-period correlation by using the window sequence. Recently, Lee and Yang [10] …”

Section: Preliminariesmentioning

confidence: 99%

The second-order correlation measure of Zadoff-Chu sequences

Lee

Chung

Yang

2015

2015 Seventh International Workshop on Signal Design and Its Applications in Communications (IWSDA)

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For an integer r ;:::: 1. the rth-order correlation measure (or the correlation measure of order r) of a sequence was introduced in cryptography as a measure of immunity against correlation attacks. When r = 2, it can be viewed as the maximum value in a subset of magnitudes of partialperiod autocorrelation for a given sequence. In this paper. we determine the second-order correlation measure of ZadoffChu sequences of any period and show that it is invariant to the design parameter for them.

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“…Thus, for low MAI and large channel capacity, it is desired that the CC value is always zero. However, the design of signature sequences with near-perfect correlation properties is not an easy task [7], [8]. The Gold sequence [9], which is an important subclass of the -sequences, provides good ECC.…”

Section: Introductionmentioning

confidence: 99%

DS/CDMA signature sequences based on PR-QMF banks

Park

Song

Kwon

2002

IEEE Trans. Signal Process.

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In this paper, we propose two classes of multivalued signature sequences for direct sequence code division multiple access (DS/CDMA) systems. The proposed classes are obtained from the coefficients of the subbands of perfect reconstruction quadrature mirror filterbanks (PR-QMF). The first and second classes are derived from the tree and lattice structure PR-QMF banks, respectively, and they both have perfect correlation properties for synchronous DS/CDMA systems. The second class, in addition, has generally better correlation properties than other well-known sequences in asynchronous DS/CDMA systems. Some numerical results for the performance of the asynchronous DS/CDMA systems with several sequences, including the second class of sequences, are obtained.

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Bounds on partial correlations of sequences

Cited by 18 publications

References 22 publications

A new polyphase sequence with perfect even and good odd cross-correlation functions for DS/CDMA systems

A new polyphase sequence with perfect even and good odd cross-correlation functions for DS/CDMA systems

The second-order correlation measure of Zadoff-Chu sequences

DS/CDMA signature sequences based on PR-QMF banks

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