Title :
Synthesis of two-dimensional pseudo white-noise signal with low peak factor
Author :
Hayashi, Takafumi
Author_Institution :
Dept. of Comput. Software, Univ. of Aizu, Japan
Abstract :
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 (2n1+1)(4n1+1)×(2n2+1)2 for an arbitrary pair of integers n1 and n2. The peak factor of the proposed signal is equal to √1+1/(4n1+1) times the peak factor of a single trigonometric function.
Keywords :
discrete Fourier transforms; signal processing; white noise; auto-correlation; crest factor; flat power spectrum; pseudo white noise signal; single trigonometric function; two-dimensional signal generation; Autocorrelation; Discrete Fourier transforms; Power generation; Search methods; Signal generators; Signal processing; Signal synthesis; Two dimensional displays; Watermarking; White noise; Crest factor; peak factor; pseudo white noise;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2004.835472