Consider the signal x(t) = sinc(6t)sinc(4t). (a) Sketch the spectrum Ŷ(ƒ). (b) Consider the impulse train sampled signal ∞ xs(t) = Σ x(nT)&(t — nT) n=-∞ where T = ½. Sketch the spectrum of Ŷs(f). (c) The sampled signal x(t) passed through an LPF Hlpf(f) = I\-] (f) to obtain the signal x,(t). Sketch the spectrum Ŷ, (f) and give an explicit expression for the time domain signal x,(t). Is it the same as the original signal x(t) (up to scale)? (d) Repeat (b) and (c) for T = 12. (e) What is the maximum value of T for which x(t) = x(t) (up to scale)?

Consider the signal x(t) = sinc(6t)sinc(4t). (a) Sketch the spectrum Ŷ(ƒ). (b) Consider the impulse train sampled signal ∞ xs(t) = Σ x(nT)&(t — nT) n=-∞ where T = ½. Sketch the spectrum of Ŷs(f). (c) The sampled signal x(t) passed through an LPF Hlpf(f) = I\-] (f) to obtain the signal x,(t). Sketch the spectrum Ŷ, (f) and give an explicit expression for the time domain signal x,(t). Is it the same as the original signal x(t) (up to scale)? (d) Repeat (b) and (c) for T = 12. (e) What is the maximum value of T for which x(t) = x(t) (up to scale)?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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