2018
DOI: 10.1515/joc-2017-0214
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A New Construction of Optical Zero-Correlation Zone Codes

Abstract: A new method for constructing optical zero-correlation zone (OZCZ) codes based on the Hadamard matrix and the concatenation operation is proposed. The most important property of the obtained codes is that the periodic correlation function of the proposed codes is zero for the phase shifts within the zero-correlation zone. The structure of the proposed OZCZ code is simple and their construction is more flexible. The proposed code is expected to be useful for reducing co-channel interference in optical code divi… Show more

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Cited by 11 publications
(5 citation statements)
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“…In the same manner as the OWDD, Figure 3 presents the performance comparison of the existing ZCC codes with AWDD and the proposed code in terms of BER against the number of active users at Psr of −10 dBm. In this case, with the increasing code weight, the BER performances of the existing ZCC codes are similar to that of the proposed code for high-QoS [see (13) for 𝑤 = 𝑤 𝐻 )] with no BER changes for other detected weights (the same results as those in Fig. 2 with OWDD).…”
Section: Theoretical Analysissupporting
confidence: 72%
See 1 more Smart Citation
“…In the same manner as the OWDD, Figure 3 presents the performance comparison of the existing ZCC codes with AWDD and the proposed code in terms of BER against the number of active users at Psr of −10 dBm. In this case, with the increasing code weight, the BER performances of the existing ZCC codes are similar to that of the proposed code for high-QoS [see (13) for 𝑤 = 𝑤 𝐻 )] with no BER changes for other detected weights (the same results as those in Fig. 2 with OWDD).…”
Section: Theoretical Analysissupporting
confidence: 72%
“…Nonetheless, OCDMA system performance is limited by a multiple access interference (MAI) impact. Numerous one-(1D) [10][11][12][13][14], two-(2D) [15][16][17], and three-(3D) [18] dimensional code schemes have been proposed in the literature review to eliminate the MAI where it is necessary to choose a good family of optical codes admitting a large number of users with a high weight and good auto and cross-correlation properties [less periodic cross-correlation function (PCCF) and periodic auto correlation function (PACF)].…”
Section: Introductionmentioning
confidence: 99%
“…denote a code set with K codes, each has length L and zero correlation zone cz Z . The set is called OZCZ code set [24], [25] if the following correlation properties satisfy…”
Section: A Preliminariesmentioning
confidence: 99%
“…The transmitter and receiver both employ the unipolar code set for the intensity modulation directly in VLC system compared with the construction in [28], [29]. Furthermore, compared with the construction in [24], [25], the proposed code set with different spreading factors can enhance the multi-rate system performance significantly.…”
Section: Properties Of the New Constructionmentioning
confidence: 99%
“…This class of codes is an innovative coding, which ensures ideal autocorrelation and cross-correlation properties within the correlation zone. Various constructions of ZCZ codes such as binary, ternary, polyphase and optical codes have been constructed [7][8][9][10][11][12][13][14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%