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

This letter presents anew 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(1) + 1)(4n(1) + 1) x (2n(2) + 1)(2) for an arbitrary pair of integers n(1) and n(2). The peak factor of the proposed signal is equal to root1 + 1/(4n(1) + 1) times the peak factor of a single trigonometric function.