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Importance of phase in signals

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radheshbhat

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Hi all,
I just have a query on importance of phase in signals. Say, if i take a fourier transform of a signal, i get both magnitude as well as phase. Is it possible to get the signal back into time domain by only considering the phase but not the magnitude??

thanks in advance
 

NO. of course not . From the FFT formula, we know x(n) is the function of phase and magnitude. If the phase of x(n) is theta(n) and magnitude is mag(n), the you can try to change the mag(n) with random noise, and do IFFT, then you will get another time domain sequence. You can try it in Matlab.
 

IT'S right that u must have both amplitude & phase of a signal in frequncy domain to reconstruction it in time domain, but on the other hand , if u have only one of them, phase or amplitude , u can get another part by hilbert transform, so the amplitude is the logaritme of hilbert transform of phase in frequncy domain .
 

Logarithm of magnitude and phase are directly connected by hilbert transform only for minimum phase signals. For non-minimum phase signals there is additional phase component presented in relation between magnitude iand phase

So ypu can reconstruct only minimumphase signals by means of hilbert transfom
 

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