Abstract
Polyphase-coded FM (PCFM) radar waveforms are continuous, constant amplitude, and are represented using a discrete set of parameters. This form lends itself well to descent optimization methods, with the nonlinear conjugate gradient (NLCG) method considered here. Further, a generalized integrated sidelobe (GISL) metric based on the q-norm of the autocorrelation sidelobes is introduced that includes the standard ISL and peak sidelobe level (PSL) metrics as specific cases (q = 2 and q = ∞, respectively). The notion of waveform design degrees of freedom is addressed within the context of both sampled bandwidth and 3 dB resolution bandwidth. When the sampled bandwidth is larger than the resolution bandwidth, additional degrees of freedom corresponding to the spectral roll-off region become available for use in waveform optimization. Utilizing this extra dimensionality we show that the possible optimized autocorrelation is largely independent of the waveform time-bandwidth product, which is itself defined using resolution bandwidth.
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