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

****The solution is a rough copy. There may be some errors.****

****The solution is a rough copy. There may be some errors.****

Section A Reg Name Test 1 190103020001 Syed Md. Afsani 6 190103020005 Nadira Ferdous 4 190103020007 Biprojit Bhattacharjee 4 190103020009 Maidul Islam 4 190103020011 Marwanur Rashid Shafe 4 190103020015 Jeni Begum 4 190103020017 Marufa Akter Sweety 4 190103020019 MD.Fahin Miah 4 190103020021 Abida Khanom 3 190103020023 Aysha Akter 4 190103020025 Md. Shahan Ahmed Emon A