Question

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

t=-1:0.001:1;
x1=1+sin(4*pi.*t);
plot(t,x1)
title('waveform for x1(t)')
xlabel('time')
ylabel('amplitude')
x2=sin(30*pi.*t);
plot(t,x2);
title('waveform for x2(t)');
xlabel('time');
ylabel('amplitude')
x3=x1.*x2;
plot(t,x3);
title('waveform for x3(t)');
xlabel('time');
ylabel('amplitude')
v1=cos(20*pi.*t);
v2=cos(22*pi.*t);
x4=v1+v2;
title('waveform for x4(t)');
xlabel('time');
ylabel('amplitude')

Multiple subparts