Basic Simulation Lab with MATLAB

Transcription

1 Chapter 3: Generation of Signals and Sequences 1. t = 0 : : 1; Generate a vector of 1001 samples for t with a value between 0 & 1 with an increment of y = 0.5 * t; Generate a linear ramp with a slope of plot( t, y ); Plot the graph 4. xlabel ('Time Index t (sec.)'); Label the X-axis 5. Label the Y-axis 6. title ('Ramp Signal Sequence'); Add an appropriate title to the graph Table 3.1 : MATLAB code for Ramp Signal Generation 1. t = 0 : : 0.1; Generate a vector of samples for t with a value between 0 & 0.1 with an increment of y = square ( 2 * pi * 50 * t); Generate a square wave of frequency 50 Hz, by calling the MATLAB inbuilt function square. 3. plot (t, y); axis ( [ ] ); Plot the graph. Adjust the X and Y coordinates to view a few cycles of the square wave. 4. xlabel ('Time Index t (sec.)'); 5. title ('Square Wave Signal Sequence'); Add an appropriate title to the graph Table 3.2 : MATLAB code for Square Wave Signal Generation

2 1. fs = 10000; Set the sampling frequency fs as t = 0 : 1/fs : 1.5; Generate a vector of samples for t with a value between 0 & 1.5 with an increment of x = sawtooth (2 * pi * 100 * t); Generate a Saw Tooth wave of frequency 100 Hz, by calling the MATLAB built-in function sawtooth. 4. plot( t, x ); axis ( [ ] ); Plot the graph. Adjust the X and Y coordinates to view a few cycles of the Saw Tooth wave. 5. xlabel ('Time Index t (sec.)'); 6. title ('Sawtooth Wave Signal Sequence'); Add an appropriate title to the graph Table 3.3 : MATLAB code for Saw Tooth Wave Generation

3 1. fs = 10000; Set the sampling frequency fs as t = 0 : 1/fs : 1.5; Generate a vector of samples for t with a value between 0 & 1.5 with an increment of x = sawtooth (2 * pi * 50 * t, 0.5); Generate a Triangular wave of frequency 50 Hz, by calling the MATLAB built-in function sawtooth with 0.5 as the duty cycle parameter. 4. plot(t,x); axis ( [ ] ); Plot the graph. Adjust the X and Y coordinates to view a few cycles of the triangular wave. 5. xlabel ('Time Index t (sec.)'); 6. title ('Triangular Wave Signal Sequence'); Add an appropriate title to the graph Table 3.4 : MATLAB Code for Triangular Wave Generation

4 1. N=20; Set a limit 20 for X-axis coordinate time. 2. t = -N :.0001 : N; Generate a vector of samples for t with a value between -20 & 20 with a step size of The X- axis range is from -20 to theta = input('the phase angle is '); Input the desired Phase Angle for the variable called theta 4. x = sin (2 * pi * 50 * t + theta); Generate a Sine Wave of frequency 50 Hz and desired phase angle theta, by calling the MATLAB built-in function sin. 5. plot( t, x ); axis( [ ] ); Plot the graph. Adjust the X and Y coordinates to view a few cycles of the Sine wave. 6. grid; Insert horizontal and vertical grid in the graph for easy measurement of parameters. 7. xlabel ('Time Index t (sec.)'); 8. title ('Sinusoidal Signal of Frequency 50 Hz and Desired Phase'); Add an appropriate title to the graph Table 3.5 : MATLAB Code for Sine Wave Signal Generation 1. t = linspace(-5, 5); Generate a vector of 100 linearly spaced samples for t with a value between -5 & 5 2. y = sinc(t); Call the built-in 'Sinc' function to generate the Sinc signal of 100 samples 3. plot( t, y ); Plot the graph. 4. xlabel ('Time Index t (sec.)'); 5. title ('Sinc Signal Sequence'); Add an appropriate title to the graph Table 3.6 : MATLAB Code for Sinc Signal Generation

5 1. clc; Clear Command Window for a clean view 2. clear all; Clear all the previously defined variables 3. m1 = input ( ' Please input a NEGATIVE Set a limit for negative X-axis number for m1 '); 4. m2 = input ( ' Please input a POSITIVE number for m2 '); Set a limit for positive X-axis 5. m = [m1 : m2]; Define the range for X-axis 6. x = zeros(1,m2-m1+1); Create a row vector of zeros 7. m0 = input ( ' Type 0 for Unit Impulse, negative/ positive no. for delayed/ advanced signal '); Define the place of the single unit impulse on the X-axis 8. x(m0-m1+1) = 1; Set the amplitude of the unit impulse as 1 at the defined place 9. stem( m, x ); axis( [ m1 m ] ); Plot the graph as stems. Adjust the X and Y coordinates to view a nice graph. 10. xlabel ('Time Index m (sec.)'); 11. title ('Unit Impulse Signal Sequence'); Add an appropriate title to the graph Table 3.7 : MATLAB Code for Unit Impulse Signal Generation

6 1. clc; clear all; Clear Command Window and all the previously defined variables for a clean view 2. k1 = input ( ' Please input a NEGATIVE Set a limit for negative X-axis number for k1 '); 3. k2 = input ( ' Please input a POSITIVE number for k2 '); Set a limit for positive X-axis 4. k0 = input ( ' Type 0 for normal Unit Step, a negative or positive no. for a shifted one '); Decide on the type of Unit Step desired and accordingly feed an input 5. k = [k1 : k2]; Define the range for X-axis 6. x = zeros(1,k2-k1+1); Create a row vector of zeros 7. x( k0-k1+1 : end ) = 1; Set the amplitude of the unit step as 1 from the place of starting until end. 8. stem( k, x ); axis ( [ k1 k ] ); 9. xlabel ('Time Index k (sec.)'); Plot the graph as stems. Adjust the X and Y coordinates to view a decent looking graph. 10. title ('Unit Step Signal Sequence'); Add an appropriate title to the graph Table 3.8 : MATLAB Code for Unit Step Signal Generation