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In speech processing, a pre-emphasis filter is often used to increase the energy of audio signals at higher frequencies. A simple pre-emphasis filter is given by: y[n] = x[n] – 0.5 · x[n – 1] a) Find the discrete-time Fourier transform DTFT H(e]w). b) Find its frequency response |H(el")| c) Find |H(e/")| for w = = 0, 4' 2' 4 and n

In speech processing, a pre-emphasis filter is often used to increase the energy of audio signals at higher frequencies. A simple pre-emphasis filter is given by: y[n] = x[n] – 0.5 · x[n – 1] a) Find the discrete-time Fourier transform DTFT H(e]w). b) Find its frequency response |H(el")| c) Find |H(e/")| for w = = 0, 4' 2' 4 and n

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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In speech processing, a pre-emphasis filter is often used to increase the energy of audio signals at higher frequencies. A simple pre-emphasis filter is given by: y[n] = x[n] – 0.5 · x[n – 1] a) Find the discrete-time Fourier transform DTFT H(ej@). b) Find its frequency response |H(el")|| c) Find |H(el")| for w = 0, d) Sketch |H(ej")|. Is this a low-pass or high-pass filter for pre-emphasis? e) Is this an FIR or IIR filter? Please explain why. f) Draw the block diagram of the filter to show how to implement it. 3n and n 4' 2' 4
Transcribed Image Text:In speech processing, a pre-emphasis filter is often used to increase the energy of audio signals at higher frequencies. A simple pre-emphasis filter is given by: y[n] = x[n] – 0.5 · x[n – 1] a) Find the discrete-time Fourier transform DTFT H(ej@). b) Find its frequency response |H(el")|| c) Find |H(el")| for w = 0, d) Sketch |H(ej")|. Is this a low-pass or high-pass filter for pre-emphasis? e) Is this an FIR or IIR filter? Please explain why. f) Draw the block diagram of the filter to show how to implement it. 3n and n 4' 2' 4
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