Modified Barker Code Approximating Huffman's Impulse-Equivalent Sequence

Abstract

It is shown by use of D.A. Huffman's polynomial representation for a finite sequence of contiguous pulses in a pulse train that Barker's binary-coded sequences can be modified, by a weighting of pulse amplitudes, to a condition where time sidelobes in the pulse compressed signal are substantially reduced. In such a pulse amplitude modification there is a sacrifice in pulse train energy since each pulse does not have maximum energy. Results here are provided for Barker's sequence of length 13 only.