Identifying Odd/Even-Order Binary Kernel Slices for a Nonlinear System Using Inverse Repeat m-Sequences

Figure 1

Illustration of overlapping condition for two arbitrary kernel slices. A piece of cross-correlation function contains th- and th-order kernel slices, that is, and , respectively. Corresponding shift functions and designate the beginnings of kernel slices. The duration of is dependent on memory length and sum of shift lags . According to (14), nonoverlap and overlap cases are presented in (a) and (b), respectively.

(a)

(b)