🙏🏾🙏🏾Namaste Dear Master!🙏🏾🙏🏾 Happy New Year! Congratulations for your beautiful class and your ability! I have learnt a lot with you! Could be fewer and elementar for you, thereby is the universe for me! Thank's a lot and God bless you! Jacareí -Sao Paulo-Brasil.
For anyone looking for an explanation to how he write 1 to the magnitude spectrum for all signals, it is because when you write cosw as (e^jw + e^-jw) / 2 = so that there comes a 1/2 multiplied by 2 gives 1 magnitude.
Auto-spectral density is the Fourier transform of the Autocorrelation function. It’s also called the power spectral density (PSD) - See Weiner-Khinchine theorem. Similarly the Cross spectral density (CSD) is the Fourier transform of the cross-correlation function. CSD gives a measure of spectral correlation in a pair of signals. Magnitude spectrum is same as amplitude spectrum but without the sign. A negative amplitude is equivalent to a magnitude with a 180 degrees phase shift. The 180 degrees phase shift corresponding to a minus sign is usually represented in the phase spectrum.