Localization and Resolution Properties in Time-Frequency Plane Using STFT

This paper discusses about the representations of a signal in time domain and frequency domain by sampling the signal in particular time interval and at particular sampling frequency. It discusses about the location and frequency composition of sinusoids in the signal. The Fast Fourier transform (FFT) of the signal is calculated and its magnitude and phase are obtained. The Short Time Fourier Transform(STFT) of a signal is calculated to determine the location of a corresponding tile in time-frequency plane. This is coded in MATLAB and plotted using the spectrogram. Index terms- Fast Fourier transform, Short Time Fourier Transform,spectrogram,time domain, frequency domain