Question: The short-time Fourier transform (STFT) is often used for computing the spectrogram of an audio signal. Assume that the audio signal is sampled at

The short-time Fourier transform (STFT) is often used for computing the spectrogram 


The short-time Fourier transform (STFT) is often used for computing the spectrogram of an audio signal. Assume that the audio signal is sampled at F kHz, and the windows of A samples are used for computing the spectrogram, with B% overlap between two neighbouring windows. A = 2048, B = 40, C=75, F = 8, M = 3. (i) Calculate the hop size (in samples), and the time and frequency resolution of the spectrogram. Explain how you obtain the answer. (ii) If the frequency resolution is increased to M times as high as in (ii), what should the window length be? Explain how you obtain the answer. (iii) If the overlap between the two neighbouring windows is changed to C%, has the time resolution changed? Explain the reason.

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