SINR and WPSL Performance Analysis for Frequency Sparse Waveform

Frequency sparse waveform must be ensured to have interference immunity and low autocorrelation function (ACF) sidelobe level. In this study, we use the signal to interference plus noise ratio (SINR) and the weighted peak sidelobe level (WPSL) to represent the above two waveform properties, considering the minimization of SINR and WPSL under spectral and energy constraints to establish the optimization problem, proving that the problem is convex and solve for the optimal power spectral density (PSD) using the optimization toolbox. This study allows us to analyze the trade-off between SINR and WPSL and evaluate the band availability to select the best band.