Theoretical Studies of Methods of Generating Random Waves from Harmonic Sources

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Report Number: FDL TDR 64-133
Author(s): Samuels, J. C.
Corporate Author(s): General Technology Corporation
Laboratory: Air Force Flight Dynamics Laboratory
Date of Publication: 1964-12
Pages: 37
Contract: AF 33(657)-10945
DoD Project: 4437
DoD Task: 443705
Identifier: AD0611174

Abstract:
This report is concerned with the approximation of acoustical noise fields by the use of modulated pure tone sources. Given a specific random signal the methods of orthogonal expansion and Fourier expansion are studied. The integral equation arising from the orthogonal expansion is solved for the normal functions when: a) the power spectrum is given as the ratio of two polynomials, b) Markoff Autocorrelation function, c) stationary band limited Gaussian white noise of mean zero, d) band limited stationary normal white noise on a finite interval, e) white noise. Deterministic and random frequency and amplitude modulation and random switching are examined as ways to broaden spectral components.

Provenance: AFRL/VACA

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