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    Final Biosignal Lab Report One and Two

    Uploaded by

    Nuhamin Mekonen

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Final Biosignal Lab Report One and Two

    Uploaded by

    Nuhamin Mekonen
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    final biosignal lab report one and two

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    Final Biosignal Lab Report One and Two

    Uploaded by

    Nuhamin Mekonen

    Copyright:

    © All Rights Reserved
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    of 19

    JIMMA INSTITUTE OF TECHNOLOGY

    THE SCHOOL OF BIOMEDICAL ENGINEERING

    BIO SIGNAL PROCESSING LAB REPORT

    EXPERIMENT: 1 and 2

    SECTION ONE

    Group members ID No

    1.Bethlehem Mitiku…………………………………………………………RU4095/11

    2.Eyerusalem Ayele…………………………………………………………RU3613/11

    3.Ermias Assefa……………………………………………………………...RU3332/11

    4.Firomsa Idris……………………………………………………………….RU3302/11

    5.Melat Fiseha…………………………………………………………….…RU3967/1

    6.Nuhamin Mekonnen……………………………………………..………...RU4255/11

    Submitted to:Ms. Eden T.


    Submission Date: 23/12/2022G.C
    INTRODUCTION
    To perform these experiments, we used MATLAB software. MATHLAB is
    software that works on a matrix-based language allowing the most natural
    expression of computational mathematics. It is high level language and
    programming platform designed specifically for engineers and scientists to
    analyze and design systems and products. It’s main tool for signal processing.

    OBJECTIVE OF THE EXPERIMENT

    GENERAL OBJECTIVE
     The general objective of the experiment was to implement signal
    processing methods in MATLAB.

    SPECIFIC OBJECTIVE
    The specific objective of the experiment was to;
     To be familiar with MATLAB environment.
     To implement continuous, exponential and other different functions
    signal processing by using plot on MATLAB.
     To implement folding, shifting and folding of a given signal in
    MATLAB.
     To understand how to implement convolution on MATLAB.

    PROCEDURE

    Before doing the experiment, we reviewed the basic concepts while using math
    lab and identify the main windows that are found on MATLAB such as,
    command window, workspace, command history and current window. In
    addition to that we assigned different variables to examine the effect of who and
    who’s in the workspace.

    1
    EXPERIMENT CONCEPT

    During our experiment session we plotted different graphs using MATLAB. To


    examine plot different graph, we use many exercises. Based on that we
    managed to do continuous signal using plot command and identify the
    difference between stem and plot. Other than that, we figured out the effect of
    number variation on the shape of a given graph and get the knowhow about 3D
    space plotting on MATLAB. Generally, the basic concept of the experiment
    was performing different signal processing by using functions on MATLAB.

    EXAMPLE 1. Plot the following functions in mat lab.


    A. Y= sin(x), o<x<2pi

    MAT LAB code

    Published with MATLAB®


    R2018b

    2
    B. Generation of sine wave MAT LAB code

    t=0:0.1:10; % specify range and interval x=sin(2*pi*t); %define


    output function x plot(t,x); %plot (t,x) xlabel('Time');
    ylabel('Amplitude');% title('Sine wave');

    Published with MATLAB® R2018b

    3
    Generation of cosine wave MATLAB code
    t=0:0.1:10; %define interval x=cos(2*pi*t);
    %define output x plot(t,x); %plot(x,y)
    xlabel('time'); ylabel('Amplitude');
    title('Cosine Wave');
    out put

    Published with MATLAB® R2018b

    Example2 A: Real valued exponential sequence: a^n

    MATLAB code
    n=-3:5 %define interval -3 up to 5 a1=0.8;
    x1=a1.^n; %exponential
    subplot(1,2,1); plot(n,x1); a2=1.2;
    x2=a2.^n; subplot(1,2,2); plot(n,x2);

    B
    Out put

    Published with MATLAB® R2018b

    B. Real valued exponential sequence: a^n MATLAB code

    n=-3:5 %define interval a1=0.8;


    %define value of a x1=a1.^n; a2=1.2;
    x2=a2.^n; plot(n,x1,':',n,x2,'-');
    legend('x1','x2');
    out put

    Exercise 1

    C
    MATLAB code

    Out put:

    D
    Exercise 2

    Generation of Impulse sequence

    MAT LAB code

    Output

    5
    Example 3: Discrete-time signal

    MAT Lab code:

    Output:

    6
    Home work1:
    MATLAB code

    Output:

    7
    Home work 2

    MATLAB Code:

    Out put:

    8
    EXPERIMENT TWO
    Example 1.shifting a non-function Discrte time signal

    MATLAB code
    n=0:8;
    x=[0 1 5 2 1 3 6 4 5];
    subplot(2,1,1); stem(n,x);
    title('x(n) signal'); xlabel('n');
    ylabel('x(n)');
    m=n-2; %shift by 2 y=x;
    subplot(2,1,2); stem(m,y);
    title('y(n)=x(n+2) signal'); xlabel('n');
    ylabel('y(n)');

    output

    9
    Example 2 Folding discrete-time signal

    MATLAB code
    n=0:8;
    x=[0 0 1 2 3 4 5 4 3];
    subplot(2,1,1); stem(n,x);
    title('x(n) signal');
    m=-fliplr(n); %folding y=fliplr(x);
    %folding subplot(2,1,2); stem(m,y);
    title('y(n)=x(-n) signal')

    output

    Published with MATLAB® R2018b

    10
    Example 3 convolution MATLAB code

    t=0:.01:5; h1=ones(size(t));
    h2=2*exp(-2*t); y=conv(h1,h2); %
    h(t)* x(t)
    plot(0:.01:10,y); title('h_1(t)*h_2(t)');
    output

    Published with MATLAB® R2018b

    Example 4 linear convolution

    11
    MATLAB code
    x=input('Enter the input sequence:'); %ask the user input n1=input('Enter the
    input sequence interval:'); h=input('Enter the impulse responce;'); n2=input('Enter
    the impulse responce interval:'); subplot(2,2,1); stem(n1,x); %instead of plot we use
    stem xlabel('Time'); ylabel('Amplitude'); title('Input sequence'); subplot(2,2,2);
    stem(n2,h); xlabel('Time'); ylabel('Amplitude'); title('Impulse sequence');
    subplot(2,1,2);
    n=min(n1)+min(n2):1:max(n1)+max(n2);
    y=conv(x,h); stem(n,y); xlabel('Time');
    ylabel('Amplitude'); title('Linear convolution');
    disp(x);disp(h);disp(y);

    Out put

    Published with MATLAB® R2018b

    Exercise 1

    12
    13
    Homework 1 :Matlab code

    Output:

    Home work 2:
    MAT Lab code

    14
    Output:

    15
    Conclusion
    As we have observed from the above experiment, MATLAB allows the
    most natural expression of computational mathematics for different types
    of signals.

    16

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