Study and Implementation of Discrete Time Signal and Continuous Time Signal using Stem and Plot Command Respectively.

AIM: Study and Implementation of Plot and Stem Command. 

THEORY:

1. For ‘STEM’ Command:

A discrete time signal has a value defined only at discrete points in time in these signals the independent variables takes only a discrete set of integer values.

e.g. Attendance of students Vs date (time)

Representation of DT sequence:

Unit Step:

              A discrete unit step is denoted as u(n) and is mathematically defined as

             The DT unit step signal is shown is fig,

Unit Impulse:

            The discrete time unit impulse is denoted as and is mathematically defined as

            The DT unit impulse signal is shown in fig.

Sinusoidal:

            The discrete time sinusoidal is denoted as  and is mathematically defined as

            The DT unit sine signal is shown in fig.

Unit Ramp:

            The discrete time unit ramp is denoted as  and is mathematically defined as

            The DT unit ramp signal is shown in fig.

Exponential Growing:

            The discrete time Exponential growing is denoted as  and is defined as

            The DT Exponential growing signal is shown in fig.

Exponential Decaying:

            The discrete time Exponential decaying is denoted as  and is defined as

            The DT Exponential decaying signal is shown in fig.

2. For ‘PLOT’ Command:

Similarly like Stem command plot command having same concept. Instead of stem just use Plot command for getting continuous signals.

Syntax for plot:

Plot(x coordinate values, y coordinate values).

PORCEDURE:

1.    Define samples on x axis.

2.    Define amplitude on y axis according to each and every signal.

3.    Using stem function just discretize x axis and use plot signal for getting continuous signal.

4.    Give xlabel, ylabel and title.

1. Plot Command Implementation:

Program:

% Implementation of Plot Command

 %sine Wave

x=0:0.001:10;

y=sin(x);

subplot(3,2,1)

plot(x,y);grid on

title('Sine Wave')

%cos wave

y1=cos(x);

subplot(3,2,2)

plot(x,y1);grid on

title('Cosine Wave')

%Exponential Growing Wave

y2=exp(x);

subplot(3,2,3)

plot(x,y2);grid on

title('Exponential Growing Wave')

%Exponential Decaying Wave

y3=exp(-x);

subplot(3,2,4)

plot(x,y3);grid on

title('Exponential Decaying Wave')

%Exponential Decaying Wave

y4=x;

subplot(3,2,5)

plot(x,y4);grid on

title('Ramp Signal')

2. Stem Command Implementation:

Program:

% Implementation of Discrete signals

% Sine wave

x=0:1:20;

y=sin(x);

subplot(3,2,1)

stem(x,y);grid on

title('Sine Wave')

%cos wave

y1=cos(x);

subplot(3,2,2)

stem(x,y1);grid on

title('Cosine Wave')

%Exponential Growing Wave

y2=exp(x);

subplot(3,2,3)

stem(x,y2);grid on

title('Exponential Growing Wave')

%Exponential Decaying Wave

y3=exp(-x);

subplot(3,2,4)

stem(x,y3);grid on

title('Exponential Decaying Wave')

%Exponential Decaying Wave

y4=x;

subplot(3,2,5)

stem(x,y4);grid on

title('Ramp Signal')