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Discussion:   - Explain the results obtained.   - Discuss Values of SNR at different (2,4 and 16 bits per sample)

Discussion:   - Explain the results obtained.   - Discuss Values of SNR at different (2,4 and 16 bits per sample)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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After pressing the RUN button in the Matlab program

 

Entered The BITS value (once 2 and again 4)

 

The results appeared as position in the second picture

 

Discussion:

 

- Explain the results obtained.

 

- Discuss Values of SNR at different (2,4 and 16 bits per sample)

1. Make a folder at desktop and name it "DSP_Lab and set it as your current directory within MATLAB. 2. Open M-file editor and save it under "Exp_02_Quantization" and then write the following code: Code: clc;clear; close all; disp('Generate 0.02-second sine wave of 100 Hz and Vp=5'); Xmax=1; Xmin=-1; |fs=8000; % Sampling rate Ts=1/fs; % Sampling interval nTs=0:Ts:1; % Duration of 0.02 second sig = sin(2*pi*1*nTs); % Generate sinusoids bits = input('input number of bits ='); lg =length(sig); % Length of signal vector L=2^bits; | delta=(Xmax-Xmin)/L; for x=1:lg I(x)=round((sig(x)-Xmin)/delta); if (1(x)==L) |(x)=1(x)-1; end if 1(x)<0 I(x)=0; end qsig(x)=Xmin+I(x)*delta; end qerr=qsig-sig; stairs(nTs,qsig, 'b'); hold % Plot signal in staircase style plot(nTs, sig, 'r'); grid; % Plot signal xlim ([0 1]); xlabel('Time (sec.)'); ylabel('Quantized x(n)')
Transcribed Image Text:1. Make a folder at desktop and name it "DSP_Lab and set it as your current directory within MATLAB. 2. Open M-file editor and save it under "Exp_02_Quantization" and then write the following code: Code: clc;clear; close all; disp('Generate 0.02-second sine wave of 100 Hz and Vp=5'); Xmax=1; Xmin=-1; |fs=8000; % Sampling rate Ts=1/fs; % Sampling interval nTs=0:Ts:1; % Duration of 0.02 second sig = sin(2*pi*1*nTs); % Generate sinusoids bits = input('input number of bits ='); lg =length(sig); % Length of signal vector L=2^bits; | delta=(Xmax-Xmin)/L; for x=1:lg I(x)=round((sig(x)-Xmin)/delta); if (1(x)==L) |(x)=1(x)-1; end if 1(x)<0 I(x)=0; end qsig(x)=Xmin+I(x)*delta; end qerr=qsig-sig; stairs(nTs,qsig, 'b'); hold % Plot signal in staircase style plot(nTs, sig, 'r'); grid; % Plot signal xlim ([0 1]); xlabel('Time (sec.)'); ylabel('Quantized x(n)')
Results: 2-bits Quantized x(n) Quantized x(n) 4-bits: 5 5 4 3 2 - -2 -3 -4 -5 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 Time (sec.) 4 3 2 M n 17 -2 -3 -4 -5 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 Time (sec.)
Transcribed Image Text:Results: 2-bits Quantized x(n) Quantized x(n) 4-bits: 5 5 4 3 2 - -2 -3 -4 -5 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 Time (sec.) 4 3 2 M n 17 -2 -3 -4 -5 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 Time (sec.)
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