Extending the calculation of correlation function for 1I-nO block coded signals

Using the approaches of Calderbank by N.D. Alexandru and G. Morgenstern (1998), Cariolaro by G.L. Cariolaro et al. (1983) and Bilardi by G. Bilardi et al. (1983), we devised a general formula to calculate the autocorrelation function for 1I-nO alphabetic line codes using either the kernel D·T^k and the output or codeword matrix A or the kernel T^k-1 and the entry and departure vectors e and d. We checked its validity for a particular block code named PPM. The results perfectly match those found in the literature. We generalized the approaches found in the literature and derived specific formulae to perform the calculations.