Digital Signal Processing MATLAB

Lab 1

Two Dimensional Graphs and Matrix Implementation in MATLAB

Problem 1

Task 1

Draw graphs of the functions

• Y1= cos (πt);
• Y2= sin (2πt);
• Z=Y1+Y2 where 0≤t≥5

Task 2

Draw graph of the given function

𝒀 = 𝒆^(𝒏𝒙) On interval -1 ≤ x ≤ 1 for n=1, 2,. . 4.

Use Sub-plots.

Task 3

Draw graph of the given function

Y=t. sin (3t);

Where t is an input by the user to the function.

Problem 2

Task 1

Write a function row operation (A), Where A is 3x3 matrix [1,2,3;4,5,6;7,8,9]. The function should perform following tasks

• Add Row1 and Row3
• Subtract Row3 and Row1
• Multiply Row1 and Row2
• Divide Row2 and Row1

Lab 2

Speech Processing Using MATLAB

Problem 1

Task 1

In order to get voice signal in MATLAB use built-in function for recording voice signal for 10 seconds.

Task 2

Add and subtract both voice signals with duration of your choice.

Task 3

Flip and convolve (Correlate) the second signal with the first signal.

Lab 3

Implement Discrete Time Signal (LTI System) Using MATLAB

Problem 1

Task 1

Whether the system is linear or not.

Y[n] = x[n] + 4x [n-1]

Task 2

Whether the system is linear or not.

Y[n] – 2Y [n-1] + 3Y [n-3] = 3x[n] + 4x [n-1]

Problem 2

Task 1

Whether the system is Time invariant or not.

• Y[n] = x[n] - x [n-1]
• Y[n] = n x[n]

Task 2

Whether the system is Time invariant or not.

Y[n] = 3x[n] + 5x [n-1] + 10x [n-4]

Lab 4

Fourier Transform and Spectral Analysis in MATLAB

Problem 1

Task 1

Create an analog signal with component frequency at 15 Hz and 40 Hz with fs=200. i.e. Analog signal (y) = 5xSin (2π.f.t) Using FFT analysis show its magnitude and frequencies in graph.

Task 2

Create an analog signal with component frequency at 20 Hz, 35Hz and 40 Hz with fs=200.And Inject random Gaussian noise. Then compute the frequency components and its magnitude.

Problem 2

Task 1

Find DFT of the following signal and plot the result a = [1 1 2 2] where a is a discrete time signal. By Taking IFFT verify if ‘a’ is regenerated or not?

Task 2

Use audio signal of your own choice and find the fundamental frequency of that signal.

• DSP Lab two code
• Take FFT (only magnitude) of my recording. Than plot.
• Take IFFT (only magnitude) of my recording for original recording. Then plot.
• Use fs=200, fftshift command, proper labeling and find power. (P=abs(y). ^2/N).

Lab 5

Z-Transform and Inverse Z-Transform Analysis in MATLAB

Problem 1

Task 1

Find Pole and Zeros of given transfer function.

Task 2

Find Pole and Zeros of given transfer function.

Problem 2

Task 1

Find out stability and frequency response of given function.

Task 2

Find out stability and frequency response of given function.

Lab 6

Pole and Zero plot in Z domain using MATLAB

Problem 1

Task 1

To check our residue functions, let us consider the rational function:

First rearrange X (z) so that it is a function in ascending power of 𝒁^-1

Task 2

Compute the inverse Z-transform of:

Lab 7

Design of FIR filter using MATLAB command and MATLAB Tools

Problem 1

Task 1

Designing FIR filter using matlab command and matlab tool.

• Low Pass filter
• High Pass filter

Task 2

Designing FIR filter using matlab command and matlab tool.

• Bandpass FIR filter
• Bandstop FIR filter

Lab 8

Design of IIR filter using MATLAB command and MATLAB Tools

Problem 1

Task 1

Designing IIR filter using matlab command and matlab tool.

• Low Pass filter
• High Pass filter

Task 2

Designing IIR filter using matlab command and matlab tool.

• Bandpass IIR filter using Butterworth, elliptic, chebshev in coding
• Bandstop IIR filter using Butterworth, elliptic, chebshev in coding

Lab 9

Introduction to TMS320C6713 DSK and Code Composer Studio

Problem 1

Task 1

Mathematics operation (Addition of a & b ) and stored in third letter.

Task 2

Series Based Problem. Ascending and Descending Order.

Lab 10

Sine Wave Generation on DSP Kit TMS TMS320C6713 DSK

Problem 1

Task 1

Sine Wave Generation using Eight Points with DIP Switch Control.

Lab 11

Digital image processing using MATLAB

Lab 12

Grayscale, Enhancing Contrast and Edges of Gray Scale Images using MATLAB

Lab 13

Calculate size of any audio compressed signal using MATLAB