Designing matching waveform pair with sparse frequency and low autocorrelation sidelobes

Abstract

Abstract Sparse frequency waveform is widely used to suppress the narrowband interferences. The performance that can be achieved with a single waveform is limited. The authors study the approach to design a pair of matching waveforms with low autocorrelation sidelobes and arbitrary frequency stopbands. Two algorithms based on the minimum mean square error (MMSE) between the actual waveform characteristics and the desired waveform characteristics are proposed to deal with this problem. The constrained optimization problem is solved by an alternating iteration method. Numerical experiments show that the proposed algorithms can provide better performance than the existing methods.

Keywords

• Electromagnetic compatibility and interference
• Signal processing and detection
• Optimisation techniques
• Signal processing theory
• Interpolation and function approximation (numerical analysis)
• Optimisation techniques