Wednesday, August 26, 2015

Representation of Signals

There are various methods to represent signals. Few of them are listed below :
  1. Graphical representation
  2. Tabular Form
  3. Sequential Form
  4. Functional Form

Graphical Representation

In case of graphical representation x[n] value will be plotted for each value of n(-8 < n < 8). It is easy to represent x[n] graphically if x[n] is of finite length.
Graphical Representation of a Discrete time signal x[n]
Graphical Representation of a Discrete time signal x[n]

Tabular Representation

In this type of representation, a table is prepared for all values of x[n]. If the signal length increases it is tedious to prepare table for all values of n and x[n].

n

-2

-5

0

1

-3

4

2

3

X[n]

5

3

4

5

4

1

3

2

Sequential Representation

In this type of representation, a finite duration sequence with time origin (n=0). It is indicated by the symbol ? is represented as 
Sequential representation of a discrete signal
The arrow head represent that at 0 instant the amplitude of the signal is 3 while at -1 instant the signal has an amplitude of 2.
An infinite duration sequence can be represented as
Sequential Representation of an infinite duration discrete signal

Functional Representation

In case of functional representation, sequence x[n] is expressed in mathematical form such as
Functional representation of a discrete signal



No comments:

Post a Comment