Units of a Fourier Transform (FFT) when doing Spectral Analysis of a Signal
My question has to do with the physical meaning of the results of doing a spectral analysis of a signal, or of throwing the signal into an FFT and interpreting what comes out using a suitable numerical package, Specifically: take a signal, say a time-varying voltage v(t) throw it into an FFT (you get back a sequence of complex numbers) now take the modulus (abs) and square the result, i.e. |fft(v)|^2. So you now have real numbers on the y axis -- shall I call these spectral coefficients? using the sampling resolution, you follow a cookbook recipe and associate the spectral coefficients to