K mitra band limited discrete time

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Unformatted text preview: gnals Band-limited Discrete-time BandDiscreteSignals • Since the spectrum of a discrete-time signal is a periodic function of ω with a period 2π, a full-band signal has a spectrum occupying the frequency range − π ≤ ω ≤ π • A band-limited discrete-time signal has a spectrum that is limited to a portion of the frequency range − π ≤ ω ≤ π • An ideal band-limited signal has a spectrum that is zero outside a frequency range 0 < ωa ≤ ω ≤ ωb < π, that is ⎧0, 0 ≤ ω < ωa X ( e jω ) = ⎨ ⎩0, ωb < ω < π 7 • An ideal band-limited discrete-time signal cannot be generated in practice 8 Copyright © 2005, S. K. Mitra Copyright © 2005, S. K. Mitra Band-limited Discrete-time BandDiscreteSignals Band-limited Discrete-time BandDiscreteSignals • A classification of a band-limited discretetime signal is based on the frequency range where most of the signal’s energy is concentrated • A lowpass discrete-time real signal has a spectrum occupying the frequency range 0 < ω ≤ ω p < π and ha...
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This document was uploaded on 11/09/2013.

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