Generation of pseudorandom sequences for use in cross-correlation modulation

In this article we discuss how pseudorandom sequences are generated for use in cross-correlation modulation experiments and present means for generating all pseudorandom sequences (modulo-two) that have a maximum length of N=2n−1, with n=2–12. We explain the criteria that the pseudorandom sequences must satisfy, and find the set of recursion coefficients which are used to generate the pseudorandom sequences. These sets of recursion coefficients were calculated for n=2–16, with n=2–12 being explicitly presented in this article. We also explain how each set of recursion coefficients can be used to generate maximum length pseudorandom sequences of length sufficient for use in cross-correlation chopping.