Frequency Estimation Based on Modulation FFT and MUSIC Algorithm

Compared with traditional Fast Fourier Transform (FFT), modulation FFT preserves its characteristics of low complexity when used to estimate the frequencies of real-valued signals. But there are spectral leakage and picket-fence effect, frequency resolution is still difficult to achieve high accuracy. Multiple Signal Classification (MUSIC) algorithm can achieve high frequency estimation accuracy, but it requires searching the spectral peak in the full range frequency domain, and this takes a long time. To meet the needs of high accuracy and real-time performance when estimating the hopping frequencies, an algorithm combining modulation FFT and MUSIC algorithm is proposed, which can achieve high frequency resolution and reduce the search range of MUSIC algorithm's spectral peak. Simulation results show that this algorithm can achieve high frequency resolution, and the real-time performance can meet the demand of frequency measurement.