September 2008
Beginner
834 pages
37h 13m
English
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14.6 TIME-SCALING PROPERTY AND FOURIER TRANSFORM OF IMPULSE FUNCTION
We are accustomed to the fact that when recorded music is played back at a higher speed, the treble content in the music increases and the bass content decreases. The operation that takes place in this case is compression of the signal in time-domain.
Consider a time-domain signal v(t) and let V(jω) be its Fourier transform. We define a new signal 
such that = v(at), where a is a real number. This means that at any t, the value of is the value that v(t) assumes at time-instant ...
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