Compressive sensing based adaptive synchronous estimation for Frequency Hopping signal

With good sparsity of Frequency Hopping (FH) signals on the local Fourier basis based on compressive sensing (CS) theory, this paper proposes a novel adaptive synchronous estimation method of hopping frequency for FH signal. Given the hop interval, and by continuously adjusting the starting time of observation, the hopping frequencies can be estimated with a few measurements and without reconstructing the original signal. Simulation results show that the method can achieve relatively ideal synchronous performance and frequency estimation performance at lower compression ratio and lower signal to noise ratio (SNR).