Linear High Resolution Frequency-Wavenumber Analysis
Abstract
The marginal success of the several high-resolution frequency- wavenumber (f-k) techniques to data 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 nonlinear techniques yield distorted magnitudes and azimuths. The ordinary f-k 'spectrum' is shown to be no more than a 1-signal estimator, and the high resolution techniques to be but variations of that 1-signal estimator. In this paper the notion of the wavenumber 'spectrum' is set aside. 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. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1975
- Accession Number
- ADA109303
Entities
People
- Eugene Smart
- Eugene T. Herrin
Organizations
- Southern Methodist University