Generalized Short‐Time Power Spectra and Autocorrelation Functions
作者:
M. R. Schroeder,
B. S. Atal,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1962)
卷期:
Volume 34,
issue 11
页码: 1679-1683
ISSN:0001-4966
年代: 1962
DOI:10.1121/1.1909090
出版商: Acoustical Society of America
数据来源: AIP
摘要:
“Wiener's theorem” relating the autocorrelation function to the power spectrum of a time function has been modified and extended to the cases in which measurements are made withrealizablefilters having finite integration times. Similar relationships derived earlier by Fa no are valid only for the case when the power spectrum is measured by means of a bandpass filter with all impulse responsee−αtcosωtor the auto‐correlation function is measured by averaging through a simple R‐C integrator. The generalized relationships derived in this paper are valid for integrators with arbitrary impulse responses. Several different forms of short time representations and their experimental realizations are also discussed. The emphasis in this paper is on physical realizability—not mathematical existence.
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