Compressive frequency estimation for frequency hopping signal

Compressive sensing (CS) could sample the sparse signal at a rate much lower than Nyquist-rate and reconstruct it with high probability by optimization technique. This paper introduced a frequency estimation method of frequency hopping (FH) signal based on CS theory, because of the sparsity of FH signals on the local Fourier basis, frequencies of FH signals can be estimated by the position of non-zero projection on the local Fourier basis. Experiment results show that this method is effective and efficient; in addition, it can estimate the frequencies of the FH signal with a small number of compressive incoherent measurements.