7/25/2019 dsp 4
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Experiment 4
Aim: Study of Z-transform and Its Application
Software Required: MATLAB 2013a
THEORY:The Z-transform converts a discrete-time signal, which is
a sequence of real orcomplex numbers,
into a complex frequency domain representation.
where x[n]is defined only for n 0, thesingle-sidedor
unilateralZ-transform is defined as
In signal processing, this definition can be used to evaluate
the Z-transform of the unit impulse
response of a discrete-time causal system.
An important example of the unilateral Z-transform is the
probability-generating function, where
the component x[n]is the probability that a discrete random
variable takes the value n, and the
function X(z)is usually written as X(s), in terms of s= z1.
The inverseZ-transform is
where C is a counterclockwise closed path encircling the origin
and entirely in the region of
convergence (ROC).
ALGORITHM/PROCEDURE:
1. Start the program
2.
Get the inputs for signal generation
3. Use the appropriate library function
4. Display the result
