ECE303 - Digital Signal Processing - Compute Linear Convolution - Circular Convolution - MATLAB Assignment Help

ECE303: Digital Signal Processing MATLAB Assignment Help

Assignment Task:

Q1: Write a MATLAB program to compute linear convolution of x(n) and h(n) x(n) = your registration number and h(n) = x(-n)
a) Plot the signal x, h and convolution output (i.e. y) by using subplot command.
b) Title of graph as your name and also label the axes.

Q2: Write a program to find circular convolution of x(n) and h(n)? Where x(n) is the last four digits of your registration number and h(n) is the first four digits of your registration number
a) Also plot the signal x, h and convolution output (i.e. y) by using subplot command.
b) Title of graph should be your name followed by signal name (e.g., MOHAN x, MOHAN h, MOHAN y)
c) Also write some xlabel and ylabel which should be your registration number followed by some name of graph (e.g., Label of x-axis and y-axis is shown as ‘11204316 Time →’and (‘11204316 input x(n) →’ respectively) (Hint: let’s your registration number is 11204316 then x = [4,3,1,6] and h will be [1,1,2,0]) Also solve the question manually and verify with program.

Q3: Write a program to find a correlation of x(n) and h(n)? Where x(n) is the first four digits of your registration number and h(n) is the last four digits of your registration number?
a) Also plot the signal x, h, and correlation output.
b) Title of graph should be your registration number followed by signal name (e.g., 11204316 x, 11204316 h, 11204316 y)

c) Also write some xlabel and ylabel which should be your name followed by some name of graph (e.g., Label of x-axis and y-axis is shown as ‘MOHAN Time →’ and (‘MOHAN input x(n) →’)

(Hint: let’s your registration number is 11204316 then x = [1,1,2,0] and h will be [4,3,1,6]). Also solve the question manually and verify with program.

Q4: Write a MATLAB program to plot two functions on the same figure:
Function 1:- Generation of sine wave of duration time = 10 sec with frequency =2 Hz and amplitude of 10.
Function 2:- f = 2n 2+3n+5, where the variable n varies from 0 to 10 with step size of 0.01.

a) Plot the function 1 graph is in red color and function 2 graph is in green color.

b) The title of graph should be your registration number followed by Function name and also label the axes.

Q5: Write a MATLAB program to calculate the DFT of your roll no. as a sequence using FFT.
a) Give title to your graph as your name followed by your registration number and label the axes. (Hint: let’s your registration number is 11204316 then x = [1 1 2 0 4 3 1 6]. Also solve the question manually and verify with program.

Q6: Calculate the response of low-pass FIR filter using Rectangular and Hanning window. N=20; fp =100Hz; fq=300Hz; fs=1000

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