Linear High Resolution Frequency-Wavenumber Analysis
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1976
- Accession Number
- ADA112668
Entities
People
- Eugene Smart
- Eugene T. Herrin
Organizations
- Southern Methodist University