Title :
A 1/fγ power spectrum noise sequence generator
Author :
Corsini, Giovanni ; Saletti, Roberto
Author_Institution :
Univ. degli Studi di Pisa, Italy
fDate :
12/1/1988 12:00:00 AM
Abstract :
The authors discuss the design of a noise sequence generator that provides a stationary process that follows a 1/fγ law over a limited frequency band. The kind of noise is generated by passing a white-noise sequence in a digital filter characterized by a frequency-response-squared module proportional to 1/fγ. The design of the digital filter is performed in a straightforward manner by applying the matched z-transform to the transfer function of a proper analog filter. The digitalization error is also discussed, and a simple and useful design method for a flicker-like noise generator with exponents γ between -2 and 2 is reported. It is shown that the Barnes-Jarvis 1/f noise generator can easily be derived as a particular case with γ=1
Keywords :
Z transforms; digital filters; network synthesis; noise generators; transfer functions; white noise; 1/fγ power spectrum noise; Barnes-Jarvis 1/f noise generator; digital filter; digitalization error; flicker-like noise; frequency-response-squared module; matched z-transform; noise sequence generator; stationary process; transfer function; white-noise sequence; 1f noise; Character generation; Filtering; Frequency response; Matched filters; Noise generators; Noise level; Power generation; Transfer functions; White noise;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
