Windowed All-Phase DFT Modulated in Time Domain and Its Application in Spectrum Analysis

Comparing with traditional DFT, windowed all-phase DFT (apDFT) possesses excellent property of restraining spectral leakage. However, based on analyzing the relationship between windowed apDFT and windowed DFT in theory, a half of information which can be obtained by windowed DFT is left out by windowed apDFT. So this paper holds that windowed apDFT has the excellent property of restraining spectral leakage at the cost of reducing spectral resolution of some certain frequency components. More importantly, to solve the problem, we present a novel approach called system of windowed all-phase DFT modulated in time domain (tmwapDFT). Finally, simulation results show that the approach has not only the excellent property of restraining spectral leakage, but also can compensate for the deficiency of windowed apDFT.