relationship In this problem, we are interested in designing an FIR filter with input-output y[n] = box[n] + b₁x[n − 1] + b²x[n −2] such that (i) the filter is linear-phase, (ii) the filter has a zero at z = -3 (it may have other poles/zeros as well), and (iii) its frequency response is normalized so that H(w) = 1 at w = 0. (a) Determine the coefficients bo, b₁, and b₂. (b) Is this system minimum phase, maximum phase, or mixed phase? (c) If this system is used as part of an A/D → filter D/A setup, where the A/D and D/A operate with a sampling rate of 1kHz, how much delay (in seconds) will be introduced by the discrete-time filter? (d) Does this system have a causal inverse system? If so, find the impulse response of the causal inverse system and explain whether the causal inverse system is stable or not. If this system does not have a causal inverse system, explain why not.

relationship In this problem, we are interested in designing an FIR filter with input-output y[n] = box[n] + b₁x[n − 1] + b²x[n −2] such that (i) the filter is linear-phase, (ii) the filter has a zero at z = -3 (it may have other poles/zeros as well), and (iii) its frequency response is normalized so that H(w) = 1 at w = 0. (a) Determine the coefficients bo, b₁, and b₂. (b) Is this system minimum phase, maximum phase, or mixed phase? (c) If this system is used as part of an A/D → filter D/A setup, where the A/D and D/A operate with a sampling rate of 1kHz, how much delay (in seconds) will be introduced by the discrete-time filter? (d) Does this system have a causal inverse system? If so, find the impulse response of the causal inverse system and explain whether the causal inverse system is stable or not. If this system does not have a causal inverse system, explain why not.

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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