Synthesis of two-dimensional pseudo white-noise signal with low peak factor

This letter presents a new systematic approach for generating two-dimensional (2-D) signals having both a low peak factor (crest factor) and a flat power spectrum. The flat power spectrum provides zero auto-correlation, except for the zero shift. The proposed synthesis method is a systematic scheme, not a search method, and produces a 2-D signal of size (2n/sub 1/+1)(4n/sub 1/+1)/spl times/(2n/sub 2/+1)/sup 2/ for an arbitrary pair of integers n/sub 1/ and n/sub 2/. The peak factor of the proposed signal is equal to /spl radic/1+1/(4n/sub 1/+1) times the peak factor of a single trigonometric function.