Windowing to simultaneously achieve arbitrary autocorrelation characteristics and probability densities in noise generators
Rakesh Taori, G.D. Cain, K.V. Lever
Abstract
Rakesh Taori, G.D. Cain, K.V. Lever
Abstract
In the design of pseudonoise generators with user-specified characteristics it is possible for the user to inadvertently specify incompatible combinations of probability density function (PDF) and power spectral density. A method is presented which harnesses evolution procedures for optimizing the characteristics of the achieved power spectrum by windowing the corresponding autocorrelation function, given a particular target PDF. It is shown that for a given PDF (truncated Cauchy) it is possible, by appropriately costing spectral negativity infractions, to produce a positive approximation to the specified power spectrum.>
OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In the design of pseudonoise generators with user-specified characteristics it is possible for the user to inadvertently specify incompatible combinations of probability density function (PDF) and power spectral density. A method is presented which harnesses evolution procedures for optimizing the characteristics of the achieved power spectrum by windowing the corresponding autocorrelation function, given a particular target PDF. It is shown that for a given PDF (truncated Cauchy) it is possible, by appropriately costing spectral negativity infractions, to produce a positive approximation to the specified power spectrum.>
Key concepts: Autocorrelation, Spectral density, Probability density function, Cauchy distribution, Noise (video), Spectrum (functional analysis), Computer science, Function (biology)