Adaptive Transmit Waveform Design Using Multitone Sinusoidal Frequency Modulation

This article presents an adaptive waveform design method using multitone sinusoidal frequency modulation (MTSFM). The MTSFM waveform's function is represented as a finite Fourier series expansion. coefficients are utilized discrete set of parameters. These parameters can be modified to shape the spectrum, auto-correlation (ACF), and ambiguity (AF) shapes waveform. model naturally possesses constant envelope spectral compactness properties that make it well suited for transmission on practical radar/sonar transmitters which utilize high power amplifiers. has exact mathematical definition its time-series generalized Bessel functions allow deriving closed-form analytical expressions AF, ACF. establishing well-defined optimization problems finely tune MTSFM's properties. demonstrated by optimizing waveforms initially possess “thumbtack-like” AF shape. resulting optimized designs substantially improved sidelobe levels over specified regions in range-Doppler plane without increasing their time-bandwidth product. Simulations additionally demonstrate thumbtacklike competitive with phase-coded derived from algorithms available published literature.