Signals and Systems: Unit IV: Analysis of Discrete Time Signals,,
Inverse Discrete-Time Fourier Transform
Problems Based on Inverse Discrete - Time Fourier Transform
Discuss about Problems based on inverse discrete - time fourier transform
INVERSE DISCRETE-TIME
FOURIER TRANSFORM
The
process of finding the discrete time sequence x(n) from its frequency response
X(ω) is called the inverse discrete-time Fourier transform.
Problems Based on Inverse Discrete - Time Fourier Transform
Problem 1:
Determine
the signals x(n) for the given Fourier transforms:
Solution:
Problem 2:
Obtain
the impulse response of the system described by
Solution:
This
impulse response h(n) is given by
Problem 3:
Find
the inverse Fourier transform of the following:
Solution:
The
Fourier transform X(ω) in given. Then, the inverse Fourier transform of X(ω) in
given by
Problem 4:
Find
the inverse Fourier transform of
Solution:
We
know that X(ω) = 
Comparing
the above two values of X(ω), we get
Signals and Systems: Unit IV: Analysis of Discrete Time Signals,, : Tag: : Problems Based on Inverse Discrete - Time Fourier Transform - Inverse Discrete-Time Fourier Transform
Signals and Systems: Unit IV: Analysis of Discrete Time Signals,,
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Signals and Systems
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