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Realizations of adaptive array processors with directional and spectral constraints
Thesis   Open access

Realizations of adaptive array processors with directional and spectral constraints

Byongkun Chang
University of Iowa
Master of Science (MS), University of Iowa
Spring 1985
DOI: 10.25820/etd.008507
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Abstract

The purpose of this thesis is to present a class of linearly constrained adaptive array processors. An adaptive array processor consists of an array of sensors followed by an adaptive multichannel filter. The relevant filter coefficients are updated by an adaptive algorithm such that the system responds to a signal coming from a desired direction with a preset/ constrained frequency response, while discriminating against noises whose power spectrums are not overlapped with the constrained frequency response and those coming from other directions. Recently, it has been shown that the linearly constrained array processing problem can be transformed into a general multichannel noise cancellation problem. A main advantage of this approach is that we can easily use a variety of currently available adaptive multichannel filtering techniques whose properties are rather well known. Typically, the least mean square (LMS) algorithm has been successfully applied to update the coefficients of a multichannel tapped-delay-line (TDL) filter. In this thesis, it is proposed to implement the linearly constrained adaptive array processor using multichannel lattice and escalator filters. Due to the Gram Schmidt orthogonalization properties of the two filter structures, the proposed realizations converge faster and yield smaller estimation errors than the TDL counterpart. Computer simulation results comparing the performances of the multichannel TDL, lattice, and escalator filters for the linearly constrained adaptive array processing problem are presented.

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