Introduction to Adaptive Arrays

Part III: Adaptive Array Compensation and Current Research Trends

CHAPTER LIST

Chapter 11: Compensation of Adaptive Arrays
Chapter 12: Current Trends in Adaptive Array Research
Appendix A: Frequency Response Characteristics of Tapped-delay Lines
Appendix B: Complex Envelope Notation
Appendix C: Convenient Formulas for Gradient Operations
Appendix D: Useful Matrix Relations and the Schwartz Inequality
Appendix E: Multivariate Gaussian Distributions
Appendix F: Geometric Aspects of Complex Vector Relationships

OVERVIEW

The presence of a single complex adaptive weight in each element channel of an adaptive array is sufficient for processing narrowband signals. To process broadband signals, however, requires that tapped-delay line (transversal filter) processing (or its frequency domain equivalent) be employed in each element channel because this permits frequency dependent amplitude and phase adjustments to be made. The analysis presented so far has assumed that each element channel consists of identical electronics so that except for the adaptive weight settings each channel is electrically "matched". As a practical matter, the electrical characteristics of each channel are slightly different and lead to "channel mismatching" in which significant differences in frequency response characteristics from channel to channel may severely degrade an array's performance unless some form of compensation is employed. This chapter addresses frequency dependent mismatch compensation by means of tapped-delay line processing, which is important if a practical broadband adaptive array design is to be realized.

Whether designing a tapped-delay line processor to accommodate broadband signals, to compensate for channel mismatch effects, or to compensate for the effects of multipath and finite array propagation delay, it is necessary to determine the number...

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