Periodic code sets with ideal correlation properties

In this paper, code sets and the related mismatched filters are designed which have ideal correlation properties. It means that each code in the code set has not only a Dirac-like crosscorrelation function with its own mismatched filter, but also a zero crosscorrelation function when correlated with any mismatched filter for other codes. The design procedure is based on product theorem. One advantage of this procedure is the high flexibility of the code design. It is shown that a lot of code sets can be constructed.