Task 1 Z-transform and Inverse Z-transform %Lab 10 Task 1 close all clear clc syms f f2 w n; f=sin(w*n); zTransformed=ztrans(f); pretty(zTransformed) pretty(iztrans(zTransformed)) f2=cos(w*n); zTransformed2=ztrans(f2); pretty(zTransformed2) pretty(iztrans(zTransformed2)) Task 2 Cross Correlation %Lab 10 Task 2 close all clear clc a=[2 -1 3 7 1 2 -3]; b=[1 -1 2 -2 4 1 -2 5]; c=xcorr(a,b);

Task #1 Create a 10 second time vector in MATLAB. Use fs (sampling rate) = 1000 Hz. Using the formula for a chirp from last lab create a chirp signal from this time vector. Use the initial starting frequency f0= 10 Hz and a modulation index, µ=1. Plot this signal in both the time and

Task #1 Importing audio into MATLAB Audio can be imported into MATLAB using audioread()or wavread()functions. The example below shows importing a sound and plotting it. clear close all clc [y, Fs, nbits]=wavread(‘Tuning fork 1’); sample=length(y); totaltime=sample/Fs; t=1:sample; t=t/Fs; y_fft = abs(fft(y));           y_fft = y_fft(1:sample/2);     f = Fs*(0:sample/2-1)/sample; figure plot(t,y) figure plot(f, y_fft)   Task #2

Task 1 More Symbolic Algebra %Lab 7 Task 1 close all; clear; clc; syms x y; %y=x^2+5*x+6; figure fplot(‘x^2+5*x+6’,[-50 50]) figure ezpolar(‘cos(x)’) figure ezpolar(‘2+cos(x)’) figure ezpolar(‘sin(x)+cos(x)’) figure ezplot(‘cos(x)’) Task 2 Laplace Transform and Inverse Laplace Transform %Lab 7 Task 2 close all; clear; clc; syms t a s; y=exp(-a*t); pretty(laplace(y)) y1=exp(3*t); pretty(laplace(y1)) pretty(laplace(heaviside(t))) y2=exp(3*t)+exp(-5*t); pretty(laplace(y2))

Task 1 Symbolic Algebra in Matlab Solving Single Variable Equation Solving Multi Variable Equation Solving Simultaneous Equation Using roots and polyval function Using expand function to expand algebraic expression Using simplify function to simplify algebraic expression using factor function to factorize algebraic expression %Lab 6 Task 1 close all clear clc a=solve(‘3*x-50=0’); disp(a) b=solve(‘3*x^2+5*x-3=0’); pretty(b)

Task 1 Complex Numbers in matlab %Lab 5 Task 1 close all clear clc j=sqrt(-1); x=5+3j; y=6-2j; z=x+2*y; %Decomposing the real and imaginary part of a complex number disp(real(z)); disp(imag(z)); %Finding polar form of a complex number.\ disp(abs(z)); disp(angle(z)); Task 2 Real and Imaginary Components of complex numbers. %Lab 5 Task 2 close all clear

Task 1 Generation of unit impulse function. close all clear clc fs=10; a=1; t=-5:1/fs:5; impl=zeros(1,length(t)); for i=1:length(t) if t(i)==0 impl(i)=a; end end figure plot(t,impl) ylim([0 2]) figure stem(t,impl) Task 2 Generation of unit Ramp function. close all clear clc fs=10; a=1; t=-5:1/fs:5; rmp=zeros(1,length(t)); for i=1:length(t) if t(i)>=0 rmp(i)=t(i); end end figure plot(t,rmp) figure stem(t,rmp) Task

Task 1 Plotting a sine curve close all clear clc freq=input(‘Freqiuency of Sine function= ‘); amp=input(‘Amplitude of Function= ‘); phi=input(‘Initial Phase of Sine Function= ‘); time=input(‘End Time for Signal= ‘); fs=freq*10; %Following nyquist critereon t=0:1/fs:time; w=2*pi*freq; y=amp*sin(w*t+phi); figure(1) plot(t,y) figure(2) stem(t,y) Task 2 Plotting a cosine curve close all clear clc freq=input(‘Freqiuency of Cosine function=

Task 1 Introduction to for loop %Use of for loop close all clear clc n=input(‘Number of inputs= ‘); if (n>0) for i=1:n r=input(‘radius= ‘); area=pi*r*r; circ=2*pi*r; fprintf(‘Radius= %g\tArea= %g\tCircumference= %g\n’, r, area, circ) end else fprintf(‘ERR:Number must be Positive\n’); end %Task for students %Change the code such that if the radius is negative, it will

Task 1 Installation of MATLAB Task 2 Basic matlab instructions a=4; b=5; c=a+b; %difference between usiong a semicolon at the end of an instruction and not disp(c); c=a-b; c=a*b; c=a/b; %Matrix and vector a=[0 1 2] a=[0 1 2; 3 4 5] a=[0 1 2; 3 4 5;6 7 8] b=[1 2 3; 4 5