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It has been demonstrated that constrained optimization techniques can be used to generate spectrally-compliant wideband radar waveforms. Essential features of this approach include the following: 1) Wide spectral notches can be introduced into wideband radar waveforms while maintaining a constant amplitude or an otherwise specified pulse envelope. 2) Pre-distortion of the waveform, which is included in the waveform generator coefficients, should be able to preserve the spectral notches at the transmitter output. 3) Mismatched filters can be created to significantly reduce the high temporal sidelobes that are created by including a significant amount of spectral notching. These filters incur loss resolution penalties similar to those of conventional range sidelobe weighting functions applied to conventional waveforms.