I am new to the signals area and have been reading through a lot and have some questions.
Suppose I have a saved audio file on my computer, .wav file. I can view the time domain of the signal by identifying the sampling rate and bit depth. The resulted domain signal is a discrete signal, since everything stored in a computer is numbers.Now, I can convert this discrete signal into the frequency domain using the Fourier Transform algorithm. Since it is discrete, I must be using DFT equation below
Now, I can view the spectrogram of either continuous or discrete using the STFT, which computes the Fourier Transform over segmented windows of the whole signal (where we use FFT for DFT to reduce the complexity). The STFT equations of the continuous and discrete signals are:
My questions are:
1- Is my understanding correct?
2- Can we apply Hann Windowing on discrete signals?