Resolution enhancement of digital beamformers

Large array extent is usually required in order to adequately enhance the resolution of a beamformer and to improve its beam pattern. Due to physical constraints this requirement may not be met. This paper presents the results of an analytical and experimental study in the use of a signal extrapolation method to enhance the beamformer resolution for small array extent. A real-time implementation scheme is proposed. It is shown that the beam pattern and the resolution of the beamformer can be improved. Examples for various situations are provided.

[1]  R. Mucci,et al.  Shifted sideband beamformer , 1979 .

[2]  T. Barnard,et al.  Two maximum entropy beamforming algorithms for equally spaced line arrays , 1982 .

[3]  On a recent extrapolation procedure for band-limited signals , 1982 .

[4]  Louis J. Cutrona,et al.  Comparison of sonar system performance achievable using synthetic‐aperture techniques with the performance achievable by more conventional means , 1975 .

[5]  T S Huang,et al.  Numerical comparison of several algorithms for band-limited signal extrapolation. , 1984, Applied optics.

[6]  W. Thomas Adams,et al.  Design and implementation of a digital phase shift beamformer , 1978 .

[7]  J. McClellan,et al.  A unified approach to the design of optimum FIR linear-phase digital filters , 1973 .

[8]  O. Strand Multichannel complex maximum entropy (autoregressive) spectral analysis , 1977 .

[9]  D.E. Dudgeon,et al.  Fundamentals of digital array processing , 1977, Proceedings of the IEEE.

[10]  A. Jain,et al.  Extrapolation algorithms for discrete signals with application in spectral estimation , 1981 .

[11]  P. Rudnick Digital Beamforming in the Frequency Domain , 1969 .

[12]  J. Cadzow,et al.  An extrapolation procedure for band-limited signals , 1979 .

[13]  R. Pridham,et al.  A novel approach to digital beamforming , 1978 .

[14]  R. Pridham,et al.  Digital interpolation beamforming for low-pass and bandpass signals , 1979, Proceedings of the IEEE.

[15]  W. Gabriel Spectral analysis and adaptive array superresolution techniques , 1980, Proceedings of the IEEE.

[16]  R. McDonough Application of the maximum-likelihood method and the maximum-entropy method to array processing , 1979 .

[17]  S.M. Kay,et al.  Digital signal processing for sonar , 1981, Proceedings of the IEEE.

[18]  Thomas S. Huang,et al.  Discrete and continuous band-limited signal extrapolation , 1983 .

[19]  D. Slepian Prolate spheroidal wave functions, fourier analysis, and uncertainty — V: the discrete case , 1978, The Bell System Technical Journal.

[20]  A. Papoulis A new algorithm in spectral analysis and band-limited extrapolation. , 1975 .