Constructions of asymptotically optimal codebooks with respect to Welch bound and Levenshtein bound

<p style='text-indent:20px;'>Codebooks with small maximum cross-correlation amplitudes are used to distinguish the signals from different users in code division multiple access communication systems. In this paper, several classes of codebooks are introduced, whose maximum cross-correlation amplitudes asymptotically achieve the corresponding Welch bound and Levenshtein bound. Specially, a class of optimal codebooks with respect to the Levenshtein bound is obtained. These classes of codebooks are constructed by selecting certain rows deterministically from circulant matrices, Fourier matrices and Hadamard matrices, respectively. The construction methods and parameters of some codebooks provided in this paper are new.</p>

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Two Conversion Formulas of Known Optimal Sequences

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.713-715.2012 ◽

2015 ◽

Vol 713-715 ◽

pp. 2012-2015

Author(s):

Fan Xin Zeng ◽

Zhen Yu Zhang

Keyword(s):

Spread Spectrum ◽

Code Division Multiple Access ◽

Communication Systems ◽

Multiple Access ◽

Spread Spectrum Communication ◽

Autocorrelation Functions ◽

Construction Methods ◽

Code Division Multiple

This paper investigates the construction methods of sequences with optimal autocorrelation functions. The approaches proposed by us are to convert the known optimal sequences into the required sequences. In order to arrive at our goal, we establish two conversion formulas, and summarize their performance. The proposed methods can provide lots of candidates of spread sequences for the applications of code-division multiple-access (CDMA) spread spectrum communication systems.

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Statistical solution to the capacity problem in direct-sequence code-division multiple-access communication systems

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnl020 ◽

2006 ◽

Vol 24 (3) ◽

pp. 289-298 ◽

Cited By ~ 1

Author(s):

N. Eshima ◽

T. Kohda ◽

M. Tabata

Keyword(s):

Code Division Multiple Access ◽

Communication Systems ◽

Multiple Access ◽

Direct Sequence ◽

Statistical Solution ◽

Sequence Code ◽

Code Division Multiple

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Robust phased array receiver for multipath code-division multiple access communication systems

IET Communications ◽

10.1049/iet-com:20050678 ◽

2008 ◽

Vol 2 (8) ◽

pp. 1016

Author(s):

M.-S. Lee ◽

V. Katkovnik ◽

Y.-H. Kim

Keyword(s):

Code Division Multiple Access ◽

Communication Systems ◽

Multiple Access ◽

Phased Array ◽

Code Division Multiple ◽

Array Receiver

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New Constructions of Codebooks Nearly Meeting the Welch Bound

International Journal of Foundations of Computer Science ◽

10.1142/s012905412050032x ◽

2020 ◽

Vol 31 (07) ◽

pp. 875-889

Author(s):

Zexia Shi ◽

Lei Sun ◽

Fang-Wei Fu

Keyword(s):

Positive Integer ◽

Code Division Multiple Access ◽

Multiple Access ◽

Bent Functions ◽

Welch Bound ◽

Generalized Bent Functions ◽

Multiple Access Communications ◽

Generic Construction ◽

Direct Spread ◽

Code Division Multiple

Optimal codebooks meeting the Welch bound with equality are desirable in many areas, such as direct spread code division multiple access communications, compressed sensing and so on. However, it is difficult to construct such optimal codebooks. There have been a number of attempts to construct codebooks nearly meeting the Welch bound. In this paper, we introduce a generic construction of codebooks using generalized bent functions from [Formula: see text] to [Formula: see text], where [Formula: see text] is a prime and [Formula: see text] is a positive integer with [Formula: see text]. With this construction, we obtain two new families of codebooks nearly meeting the Welch bound. These codebooks have new parameters and could have a small alphabet size. In particular, a class of regular generalized bent functions from [Formula: see text] to [Formula: see text] is presented.

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Maximum-likelihood synchronization of a single user for code-division multiple-access communication systems

IEEE Transactions on Communications ◽

10.1109/26.662645 ◽

1998 ◽

Vol 46 (3) ◽

pp. 392-399 ◽

Cited By ~ 114

Author(s):

S.E. Bensley ◽

B. Aazhang

Keyword(s):

Maximum Likelihood ◽

Code Division Multiple Access ◽

Communication Systems ◽

Multiple Access ◽

Single User ◽

Code Division Multiple

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PIN versus Avalanche photodiode gain optimization in zero cross correlation optical code division multiple access system

Optik ◽

10.1016/j.ijleo.2011.12.003 ◽

2013 ◽

Vol 124 (4) ◽

pp. 371-375 ◽

Cited By ~ 8

Author(s):

M.S. Anuar ◽

S.A. AlJunid ◽

A.R. Arief ◽

M.N. Junita ◽

N.M. Saad

Keyword(s):

Code Division Multiple Access ◽

Multiple Access ◽

Cross Correlation ◽

Avalanche Photodiode ◽

Access System ◽

Gain Optimization ◽

Code Division Multiple ◽

Multiple Access System

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Encoding and decoding of femtosecond pulses for code division multiple access communication systems using a pair of fiber-pigtailed pulse shapers

Conference Proceedings. LEOS '97. 10th Annual Meeting IEEE Lasers and Electro-Optics Society 1997 Annual Meeting ◽

10.1109/leos.1997.645441 ◽

2002 ◽

Cited By ~ 1

Author(s):

H.P. Sardesai ◽

C.-C. Chang ◽

A.M. Weiner

Keyword(s):

Code Division Multiple Access ◽

Communication Systems ◽

Multiple Access ◽

Femtosecond Pulses ◽

Code Division Multiple

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LARGE-SCALE MIMO MC-CDMA SYSTEM USING COMBINED MULTIPLE BEAMFORMING AND SPATIAL MULTIPLEXING

Vietnam Journal of Science and Technology ◽

10.15625/2525-2518/56/1/9204 ◽

2018 ◽

Vol 56 (1) ◽

pp. 102 ◽

Cited By ~ 2

Author(s):

Nguyen Huu Trung ◽

Doan Thanh Binh

Keyword(s):

System Performance ◽

Code Division Multiple Access ◽

Communication Systems ◽

Multiple Access ◽

Large Scale ◽

Spatial Multiplexing ◽

Propagation Loss ◽

Fifth Generation ◽

Simulation Results ◽

Code Division Multiple

This paper proposes a novel Large-scale (massive) Multi-input Multi-output Multi-carrier Code division multiple access (LS MIMO MC-CDMA) model and application to Fifth-Generation Mobile Communication Systems (5G). This system uses combined cylindrical array antenna multiple beamforming architecture with spatial multiplexing. The model is optimized by Min-Max criteria in order to minimize side lobes and maximize compression of propagation loss. The Monte Carlo simulation results unify with the analytical solution for system performance.

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