We want to compute an N-point DFT of a one-second duration compact disc (CD) audio signal x[n], whose sample rate is $f_s = 44.1Khz$ with a DFT sampling of 1 Hz.
(a) What is the number of necessary x[n] time samples N?
(b) what is the time duration of the x[n] sequence measured in seconds?
$f_s = 44100 hz$ $f_o = 1 hz$
(a) $N = f_s / f_o = 44100 / 1 = 44100?$
(b) $T_s * N = (1/f_S) * N = (1/44100) * 44100 = 1 sec?$
Could I call $f_0$ the fundamental frequency of the DFT and assert that this frequency (1 hertz) corresponds exactly to a time period equal to the length of the x[n] sample range (1 second)?
Is that the definition of the fundamental frequency of DFT...that its the frequency corresponding to the entire sample time period of x[n] of length N...which also happens to be the smallest frequency increment of DFT of which there are exact N frequency buckets that add up to the sampling frequency.