Lower bounds on correlation of spreading sequence set with low or zero correlation zone

Tang, Xiaohu; Fan, Pingzhi; Matsufuji, Shinya

doi:10.1049/el:20000462

Cited by 263 publications

(104 citation statements)

References 2 publications

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“…For example, the bound of ZCZ length is deduced in [21], and the expected bound of ZCZ length of N-phase sequence set is shown in [18]. This lemma shows the worst case of the length of ZCZ of the interleaving constructed sequence set.…”

Section: Proof 1 See Appendixmentioning

confidence: 95%

“…The other is based on the fundamental sequence set, such as the following: those constructed in [15,16] are based on complementary sequence set (CSS) [17], and those generated in [18,19] are based on perfect sequence (PS) [20] using interleaving technique. All of these ZCZ sequence sets (L, M, Z) generated above are bounded by a general bound Z < Z g and achieve expected bound Z = Z e , where L, M, and Z denote sequence length, sequence number, and ZCZ length, separately; Z g = L/M [21], Z e = k 2 − 2 L/ k 2 M [18], k is the number of polyphase. In this paper, we propose the factorized construction of ZCZ sequence set considering both ZCZ and NCZ, which is an extension of above constructions based on fundamental sequence set.…”

Section: Introductionmentioning

confidence: 99%

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Joint timing synchronization and channel estimation based on ZCZ sequence set in SC-MIMO-FDE system

Wang

Sun

et al. 2016

J Wireless Com Network

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In this paper, we investigate the channel estimation and time synchronization problem based on the zero correlation zone (ZCZ) sequence set for single carrier multiple-input multiple-output frequency domain equalization (SC-MIMO-FDE). A factorized construction of ZCZ sequence set considering the properties of both ZCZ and nonzero correlation zone (NCZ) is proposed with efficient generator and correlator, which can be in favor of timing synchronization and channel estimation both in performance and computation complexity. Using the ZCZ sequence set, a new algorithm called twice section-maximum algorithm is put forward to eliminate energy interference among channels from different transmitting antennas to the same receiving antenna. The performance achieved by the developed algorithm which performs joint timing synchronization and channel estimation with lower computational cost is better than that of the conventional method.

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Section: Proof 1 See Appendixmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Joint timing synchronization and channel estimation based on ZCZ sequence set in SC-MIMO-FDE system

Wang

Sun

et al. 2016

J Wireless Com Network

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“…Now we show an example of shift sequences defined by (9) and (10). Theorem 3 Suppose that P is even, and L ≡ P/2 (mod P ).…”

Section: Constructions Of Shift Sequencesmentioning

confidence: 99%

“…Theorem 6 Let E = {e 0 , e 1 , ..., e M −1 } be the set of shift sequences defined by (9) or (10). Let σ be defined by (8), and N = M L + 3P/2 − 1 + σ + r with 0 ≤ r < L. If δ = 0 and L > P (3P/2 − 1 + σ + r), then S constructed in Section 3 is an optimal ZCZ sequence set with parameters (N P, M P, L).…”

Section: Lemma 9 ([10])mentioning

confidence: 99%

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New sequence families with zero or low correlation zone via interleaving techniques

Gong

2009

2009 IEEE International Symposium on Information Theory

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Sequence families with zero or low correlation zone can be used in the quasi-synchronous codedivision multiple-access (QS-CDMA) communication systems. Interleaving techniques are very useful for sequence design. In this paper, we present a general construction of sequence families with zero or low correlation zone using interleaving techniques and complex Hadamard matrices. The component sequences are perfect or ideal two-level. In two cases, we construct the shift sequences: 1) P |L; 2) P is even, and L ≡ P/2 (mod P ). The conditions are derived under which the new construction is optimal. Some examples are also given to specify the new construction.Index Terms. Quasi-synchronous code-division multiple access (QS-CDMA), low correlation zone (LCZ) sequence, zero correlation zone (LCZ) sequence, interleaving technique.

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A ZCZ‐CDMA system with BFSK modulation

Huang

Matsufuji

Matsumoto

et al. 2012

Int J Communication

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SUMMARY A quasi‐timing synchronous code division multiple access (CDMA) system called ZCZ‐CDMA, which uses a set of sequences with a zero‐correlation zone called ZCZ code as a spreading code, is useful for short‐range wireless communications because of its excellent properties such as co‐channel interference‐free performance, simplified hardware design, and low transmit power as well as fast frame synchronization capability. In this paper, a ZCZ‐CDMA system with binary frequency‐shift keying (BFSK) modulation called BFSK‐ZCZ‐CDMA is proposed. This system is characterized by using a pair of balanced ZCZ codes for spreading and transmitting the two spread components over the respective keying carrier frequencies. Its bit error rate performance, compared with those of existing BPSK‐ZCZ‐CDMA, ASK‐ZCZ‐CDMA, and CDMA systems using the other spreading codes, is evaluated in theory and simulation. The bit error rate performance of the three ZCZ‐CDMA systems over additive white Gaussian noise and Rayleigh fading channels are formulated. It is proved that BFSK‐ZCZ‐CDMA is much more robust in anti‐fading performance and low transmit power in such an environment that fading distributions on the keying frequencies are independent mutually. Fading versus frequency characteristics are also investigated. Copyright © 2012 John Wiley & Sons, Ltd.

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Lower bounds on correlation of spreading sequence set with low or zero correlation zone

Cited by 263 publications

References 2 publications

Joint timing synchronization and channel estimation based on ZCZ sequence set in SC-MIMO-FDE system

Joint timing synchronization and channel estimation based on ZCZ sequence set in SC-MIMO-FDE system

New sequence families with zero or low correlation zone via interleaving techniques

A ZCZ‐CDMA system with BFSK modulation

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