pre-emphasis filter is useful in terms of balancing the frequency spectrum of an audio signal since high equencies usually have smaller magnitudes compared to lower frequencies. The following difference quation describes the input-output relationship of a pre-emphasis filter often used in speech processing: yln] = x[n] – 0.9 - x[n – 1] a) Is the pre-emphasis an FIR or IIR filter? Please explain your answer. b) Find its transfer function H(z) = and then make a pole-zero plot to show all the poles/zeros X(2) plus its ROC. c) Find and plot the impulse response h[n] of the filter using known pairs and properties of z- transform. d) Find its frequency response H(el"), or the Discrete-Time Fourier transform (DTFT) of h[n]. e) Sketch |H(eju)|for w = 0,", and n to determine the type of filter (low-pass, high-pass, or band- pass).
pre-emphasis filter is useful in terms of balancing the frequency spectrum of an audio signal since high equencies usually have smaller magnitudes compared to lower frequencies. The following difference quation describes the input-output relationship of a pre-emphasis filter often used in speech processing: yln] = x[n] – 0.9 - x[n – 1] a) Is the pre-emphasis an FIR or IIR filter? Please explain your answer. b) Find its transfer function H(z) = and then make a pole-zero plot to show all the poles/zeros X(2) plus its ROC. c) Find and plot the impulse response h[n] of the filter using known pairs and properties of z- transform. d) Find its frequency response H(el"), or the Discrete-Time Fourier transform (DTFT) of h[n]. e) Sketch |H(eju)|for w = 0,", and n to determine the type of filter (low-pass, high-pass, or band- pass).
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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