Short-time Fourier transform using a bank of low-pass filters

The purpose of this paper is to present some experimental results estimating instantaneous frequencies of FM (frequency modulation) signals using the short-time Fourier transform (STFT) method. The relevant STFT coefficients were computed using a bank of simple one-pole low-pass filters which estimates the cross correlation of a given signal and complex sinusoids. Also, it is shown that computing the STFT coefficients is equivalent to finding the least square solution which best approximates the given signal as a weighted sum of complex sinusoids.