February Fourier Talks 2007
The Structure of Sidelobe-Preserving Operator Groups
The operators that preserve sidelobe level in
binary and polyphase codes are well known. These
operators generate finite groups under composition.
This talk examines the structure of these groups and
provide evidence that orbit degeneracy relates to
code structures yielding low sidelobe level. It will begin with
the binary case, proceed to the quad-phase
case, and finish with the case of codes whose
elements are mth roots of unity.