Accession Number:

ADA112668

Title:

Linear High Resolution Frequency-Wavenumber Analysis

Descriptive Note:

Semiannual technical rept. for the period ending 1 Mar 1976

Corporate Author:

SOUTHERN METHODIST UNIV DALLAS TX DALLAS GEOPHYSICAL LAB

Personal Author(s):

Report Date:

1976-03-01

Pagination or Media Count:

68.0

Abstract:

The marginal success of the several high-resolution frequency- wavenumber f - k techniques to date is cited from the literature. Their ability to resolve signals from two closely spaced sources is not markedly superior to that of ordinary beamforming. Moreover, such non-linear techniques yield distorted magnitudes and azimuths. The ordinary f - k spectrum is shown to be no more than a 1-signal estimator, and the existing high resolution techniques to be but variations of that 1-signal estimator. In this paper the notion of the wavenumber spectrum is set aside. Instead, by analogy to the 1- signal estimator the ordinary f - k spectrum, a linear M-signal estimator is developed. The high resolving power of this technique and the fidelity of its estimates is demonstrated theoretically and by computer examples both real and synthetic.

Subject Categories:

  • Seismic Detection and Detectors

Distribution Statement:

APPROVED FOR PUBLIC RELEASE