inverse dtft of a continuous signal - why the out is discret

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M AMAD ASLAM

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inverse dtft

if we take inverse dtft of a continuous signal why the out is discret?
plz explain in detail?
 

inverse dtft

plz make it clear,tht is not contineus signal that is spectrum of signal,signal is just discrete in time domain,by taking dtft we r going to convert it from discrete time domain to contineus frequency domain,or actully v r going to c tht which frequencies r taking part in this signal,which gives us contineus spectrum
 

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