2. a) Quantize x[n] to 4 levels using a uniform quantizer. 1, y[n] = Q(x[n]) = 0.5, 0, y[n] = Q(x[n]) = Can you understand y[n]? c) Explain the difference -1, Can you understand y[n]? b) Now consider the following 4-level quantizer 1, x[n] ≥ 0.5 0.25 ≤ x[n] < 0.5 -0.25 ≤ x[n] < 0.25 x[n]<-0.25 0.5, 0, -1, x[n] ≥ 0.5 0 [n] < 0.5 -0.5 ≤ x[n]<0 x[n]<-0.5

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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Problems:
1. Load the audio file "washington". Use 8kHz as the sampling rate. Then, create
x₁ [n] = {0.5 if x[n] < 0
if x[n] ≥ 0
Where x[n] is the input speech signal (Washington). Play x₁ [n] and comment on the quality of
the speech signal. (You may use function "audioread" to read the audio and "sound" to play the
audio in MATLAB.).
2. a) Quantize x[n] to 4 levels using a uniform quantizer.
1,
y[n] = Q(x[n]) = . 0,
0.5,
y[n] = Q(x[n])
Can you understand y[n]?
c) Explain the difference
-1,
Can you understand y[n]?
b) Now consider the following 4-level quantizer
1,
x[n] ≥ 0.5
0.25 ≤ x[n] < 0.5
-0.25 ≤ x[n] < 0.25
x[n] -0.25
0.5,
0,
-1,
x[n] ≥ 0.5
0 ≤ [n] < 0.5
-0.5 ≤ x[n] < 0
x[n] < -0.5
3. a) Plot a segment of "a" of your "Washington". Is it almost periodic? Why?
b) Can you identify "sh" sound? Is it periodic?
4. Calculate the mean value of your x[n] ("Washington"). Is it close to zero?
Transcribed Image Text:Problems: 1. Load the audio file "washington". Use 8kHz as the sampling rate. Then, create x₁ [n] = {0.5 if x[n] < 0 if x[n] ≥ 0 Where x[n] is the input speech signal (Washington). Play x₁ [n] and comment on the quality of the speech signal. (You may use function "audioread" to read the audio and "sound" to play the audio in MATLAB.). 2. a) Quantize x[n] to 4 levels using a uniform quantizer. 1, y[n] = Q(x[n]) = . 0, 0.5, y[n] = Q(x[n]) Can you understand y[n]? c) Explain the difference -1, Can you understand y[n]? b) Now consider the following 4-level quantizer 1, x[n] ≥ 0.5 0.25 ≤ x[n] < 0.5 -0.25 ≤ x[n] < 0.25 x[n] -0.25 0.5, 0, -1, x[n] ≥ 0.5 0 ≤ [n] < 0.5 -0.5 ≤ x[n] < 0 x[n] < -0.5 3. a) Plot a segment of "a" of your "Washington". Is it almost periodic? Why? b) Can you identify "sh" sound? Is it periodic? 4. Calculate the mean value of your x[n] ("Washington"). Is it close to zero?
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