Correlation Functions of Perfect Binary Sequences of Same Lengths

Zhuo, Zepeng; Chong, Jinfeng; Yu, Lei; Yang, Zhiyao

doi:10.1007/s11859-019-1386-6

Cited by 2 publications

(2 citation statements)

References 7 publications

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“…Where R S (u) 2 is the energy of the uth peak and R S (0) is the central peak value of the ACF. The best binary sequences are those having the largest MF.…”

Section: Mean Square Correlation Measuresmentioning

confidence: 99%

“…The desirable characteristics of CDMA sequences include : (i) availability of large number of sequences to support large number of users in the system, (ii) the length of the code should be large so that the spreaded signal is able to maintain its noise like properties (ensure adequate safety of the message),(iii) impulsive autocorrelation function to ensure a good synchronization at receiver [2],( iv ) zero cross-correlation values to eliminate the effect of multiple access interference at the receiver [3] and (v) ease of generation.…”

Section: Introductionmentioning

confidence: 99%

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Evaluation of ACF, CCF, RAC, RCC and MF Properties of Different Spreading Sequences Used in DS-CDMA Systems

Boukerma

Belmessaoud

2023

ICRAS

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This paper investigates the different sequences that can be used in direct sequence divisionmultiple access (DS- CDMA) systems. The auto-correlation, cross correlation, the mean square correlationmeasurements ( RAC, RcC ) and merit factor (MF) are used for evaluating the performance of differentspreading sequences. The results obtained small set of Kasami sequences is the most effective of binarysequences families in terms of correlation measure, but this set suffers from the limited number ofsequences. Overall among orthogonal category, Orthogonal Gold sequences and Golay complementarysequences are a better candidate in synchronous CDMA applications.

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“…Where R S (u) 2 is the energy of the uth peak and R S (0) is the central peak value of the ACF. The best binary sequences are those having the largest MF.…”

Section: Mean Square Correlation Measuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Evaluation of ACF, CCF, RAC, RCC and MF Properties of Different Spreading Sequences Used in DS-CDMA Systems

Boukerma

Belmessaoud

2023

ICRAS

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Efficient method for constructing optimized long binary spreading sequences

Boukerma

Rouabah

Mezaache

et al. 2021

Int J Communication

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In this paper, we propose an efficient method for generating two types of novel optimized long binary spreading sequences (OLBSS) with improved autocorrelation function (ACF) properties. The first type is constructed from concatenated short binary subsequences belonging to the same code family, such as Walsh Hadamard and Gold subsequences, provided that their crosscorrelation functions (CCFs) have good properties. The second category uses the same subsequences but which are rather interlaced. Here, the number and size of the subsequences are related to the chosen length of the final constructed long sequence and the desired performances. The realization of the OLBSSs is achieved using two different optimization techniques, namely, the genetic algorithms (GAs) and particle swarm optimization (PSO) method. The simulation results, based on MATLAB tool, have shown that the proposed long sequences, composed of Walsh-Hadamard subsequences and optimized by the GA, have better ACF properties compared to the original Gold, Weil, and random sequences of the same length.

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Correlation Functions of Perfect Binary Sequences of Same Lengths

Cited by 2 publications

References 7 publications

Evaluation of ACF, CCF, RAC, RCC and MF Properties of Different Spreading Sequences Used in DS-CDMA Systems

Evaluation of ACF, CCF, RAC, RCC and MF Properties of Different Spreading Sequences Used in DS-CDMA Systems

Efficient method for constructing optimized long binary spreading sequences

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