1998
DOI: 10.1109/50.664055
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Design of a new family of two-dimensional codes for fiber-optic CDMA networks

Abstract: We report the design of a new family of twodimensional codes for fiber-optic CDMA networks. These newly designed temporal/spatial single-pulse-per-row (T/S SPR) codes have out-of-phase autocorrelation zero and cross correlation equal to one. Optical orthogonal codes (OOC's) have the lowest out-of-phase autocorrelation and cross-correlation values (both equal to one) among the one-dimensional codes. We compare the performance of our codes to the OOC's for a given probability of error. Experimentally we verify t… Show more

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Cited by 98 publications
(39 citation statements)
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“…Proof: For any two distinct matrices , , , , and , , , , , if cross-correlation is greater than 1, we have at least two coincidence of pulses of the same spatial channel and wavelength in any cyclic shift of the matrices in time, which means following equations are simultaneously satisfied for , (12) (13) (14) Subtracting (14) from (13), we obtain (15) Since , (15) is valid only when for . As a result, the assumption , , , , , , , , is violated.…”
Section: A 3-d Code W/sppmentioning
confidence: 99%
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“…Proof: For any two distinct matrices , , , , and , , , , , if cross-correlation is greater than 1, we have at least two coincidence of pulses of the same spatial channel and wavelength in any cyclic shift of the matrices in time, which means following equations are simultaneously satisfied for , (12) (13) (14) Subtracting (14) from (13), we obtain (15) Since , (15) is valid only when for . As a result, the assumption , , , , , , , , is violated.…”
Section: A 3-d Code W/sppmentioning
confidence: 99%
“…In the analysis of the error probability of the OCDMA system, we ignore thermal and shot noises in photodetection, and only the interference from other users is considered. We also assume that there is either complete overlap of chips or no overlap when two codewords are correlated-chip synchronization-for the sake of mathematical convenience [12], [15]. Note that this does not mean that the system is synchronous and the chip synchronization assumption is different from the "bit synchronization" as in synchronous systems.…”
Section: B Error Probability In Multiple User Circumstancementioning
confidence: 99%
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