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Design of synthetic waveforms with low sidelobes

We propose a new systematic approach for designing pulse trains with nonuniform frequency shifts between the center frequencies of the consecutive subpulses. We suggest specific relationships between the frequency shifts so that the waveform's matched filter response would have a desired sidelobe level. Our approach can be also used for designing Doppler tolerant waveforms. We show that waveforms generated by our algorithm exhibit improved performance when compared with traditional synthetic waveforms