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A time function f(t) is multiplied by a periodic set of unit impulses, as shown in Fig. P2-47. The Fourier transform F() is band-limited to

A time function f(t) is multiplied by a periodic set of unit impulses, as shown in Fig. P2-47. The Fourier transform F(ω) is band-limited to (has no frequency components above) B hertz as shown. Use frequency convolution to find the spectrum at the multiplier output. Sketch the three cases 1/T = 4B, 1/T = 2B, and 1/T = B.

-f (Hz) -B f(t) 27 .0 s Im

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