Accession Number : AD0681013

Title :   AN EVALUATION OF A SIGNAL DISTORTION INTEGRAL.

Descriptive Note : Research rept.,

Corporate Author : NAVY UNDERWATER SOUND LAB NEW LONDON CONN

Personal Author(s) : Wood,David H.

Report Date : 21 OCT 1968

Pagination or Media Count : 18

Abstract : Using formal methods, R. R. Goodman has given an integral representation of the response due to an arbitrary signal from a point source in a constant gradient medium. A generalization of this integral, valid for L squared signals, is evaluated by showing that the Fourier transform of e to the power (-i omega tau the square root of (1-K squared omega squared)) minus e to the power (-1 omega) is -2 pi K tau H(t-tau) J sub 1 (K(the square root of (t squared - tau squared)/the square root of (t squared - tau squared), where H is the unit step function. The final result is expanded in a series that converges rapidly for small gradients (small K). (Author)

Descriptors :   (*UNDERWATER SOUND SIGNALS, DISTORTION), (*INTEGRALS, UNDERWATER SOUND SIGNALS), UNDERWATER EXPLOSIONS, SONAR SIGNALS, REFRACTION, INTEGRAL TRANSFORMS, FOURIER ANALYSIS, SERIES(MATHEMATICS)

Subject Categories : Acoustic Detection and Detectors
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE