| Abstract | Intended for optical code-division multiple access (CDMA) applications, the constructions
of a new family of 2
11 codes called the 2
11 extended prime code and the (N, 4, 2, 1) 211 code, are
presented in this research study. Since the extended prime code is derived from the well-known
prime code by pading some more trailing zeros, the algebraic properties of the extended prime
code and the constructed t' code, are still preserved, in particular for the cross-correlation
function equal to one. This type of 211 codes can be easily generated by using a simple serial coding
architecture, and therefore, a fast reconfiguration time for fully tunable encoders I decoders is
guaranteed (ZHANG and PICCHI, 1993). The (N, 4, 2, 1) 211 code is constructed based on
Hanani's approach which has been investigated to construct an (N, w, 2, I) optical orthogonal
code (OOC). Here, we prove that the obtained (N, 4, 2, 1) OOC can be also an 2" code due to its
symmetric pulse positions in the code sequences. Moreover, the performances of the constructed
codes are analyzed by using a Gaussian approximation for optical multiple-access interference, and
the bit error rates (BER) are discussed in terms of the number of pulses, the code length and the
number of simultaneous users. |