Case study of design trade-offs for ternary phase-amplitude filters

The ternary phase-amplitude filter (TPAF) is by definition restricted to the modulation values -1, 0, and 1, thus composing a binary phase-only filter (BPOF) multiplied by a binary- amplitude pattern, i.e., a region of support. The TPAF offers an attractive combination of real-time implementation with available devices and good correlation performance. Smart (optimized distortion-invariant) TPAF formulations have been developed. In applying smart filters, mixed optimizations are needed to address not only SNR (signal-to-noise) performance but other metrics addressing practical performance factors such as correlation efficiency. We have developed a design methodology that facilitates mixed optimizations and will report its application to two filter design cases involving a rotated and scaled target on several backgrounds.

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