Question

SIGNALS AND SYSTEMS

Experiment 1

   Signal Generation

Date: January 1-8, 2018

The purpose of this laboratory is to familiarize you with the basic commands in MATLAB for signal generation and verify the generated signal.

Objectives

1.Learn basic MATLAB commands and syntax, including help system.

2.Use MATLAB ( from Citrix) to generate and plot different signals.

Assignments

Generate and plot the signal x₁(t) = 1+ sin (4pt), for t ranging from -1 to 1 in 0.001 increments. Use proper axes labels with title.

Generate and plot the function x₂(t) = sin (30pt), for t ranging from -1 to 1 in 0.001 increments. Use proper axes labels with title.

Generate and plot the combination function x₃(t) = x₁(t)*x₂(t) as above. Use proper axes labels with title.

Generate and plot the sum of two cosine waves   v₁(t) = cos(20pt) and v₂(t) = cos(22pt), for t ranging from -1 to 1 in 0.001 increments. Use proper axes labels with title. Let x₄(t) =v₁(t) +v₂(t).

Generate and plot the signal represented by    x₅(t) = e^-0.1t sin (2t/3), for t ranging from 0 to 30 in 0.1 increments. Use proper axes labels with title.

Generate and plot the signal represented by    x₆(t) = sin (4pt)/ 4pt, for t ranging from -1 to 1 in 0.001 increments. Use proper axes labels with title

                                                                                                 

Plot the function x₇(t) = (1 – e ^-2t ) cos (60 pt). Use t from 0 to 0.25 in 0.001 increments. Use proper axes labels.

Plot a discrete-time signal x[n] using the following commands:

>> n= -2: 6;

>> x=[ 0 0 1 2 1 0 –1 0 0];

>> stem(n,x);

>> xlabel(‘n’);

>> ylabel(‘x[n]’);

>> title (‘ Plot of a discrete-time Signal’);

The force f(t) in newtons(N) in a certain industrial process increases with the square of time over a particular time interval and cab be expressed as

                        f(t) = 0.25 t² .

      Use MATLAB to plot the function from t=0 to t= 10 s.

Write MATLAB Program codes and Comments on your observation about each signal plot.

     

Use help command for all MATLAB commands to know the detail.

  

MATLAB commands used:

sin     cos       exp     pi     plot    stem   grid    xlabel    ylabel      title

Answer 1