2. The continuous-time signal xe(t) = cos(20πt) is sampled at rate of 8 samples per second (1/T₁= 8), producing the discrete-time signal x[n]. (a) Determine a closed-form expression for the output ye(t) of an ideal D/A operating at a rate of 3 samples per second (1/T₂ = 3) that has x[n] as a input. (b) Sketch the spectra of xe(t), x[n] and ye(t).

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2. The continuous-time signal xe(t) = cos(20πt) is sampled at rate of 8 samples per second (1/T₁ = 8),
producing the discrete-time signal x[n].
(a) Determine a closed-form expression for the output ye(t) of an ideal D/A operating at a rate of
3 samples per second (1/T₂ = 3) that has x[n] as a input.
(b) Sketch the spectra of xe(t), x[n] and ye(t).
Transcribed Image Text:2. The continuous-time signal xe(t) = cos(20πt) is sampled at rate of 8 samples per second (1/T₁ = 8), producing the discrete-time signal x[n]. (a) Determine a closed-form expression for the output ye(t) of an ideal D/A operating at a rate of 3 samples per second (1/T₂ = 3) that has x[n] as a input. (b) Sketch the spectra of xe(t), x[n] and ye(t).
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