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Lab No.10

Discrete time Fourier transform
(Frequency response)

Designed by : Dawar Awan
dawar@cecos.edu.pk
CECOS College of Engineering and IT

March – July 2012
DTFT : Example

CECOS College of Engineering and IT

March – July 2012
DTFT : Example

CECOS College of Engineering and IT

March – July 2012
DTFT : Example

CECOS College of Engineering and IT

March – July 2012
DTFT : Example

CECOS College of Engineering and IT

March – July 2012
DTFT : Example

CECOS College of Engineering and IT

March – July 2012
DTFT : Example

CECOS College of Engineering and IT

March – July 2012
Task
1. Repeat DTFT_example for three other values of
frequency

CECOS College of Engineering and IT

March – July 2012
DTFT Properties
 Time Shifting(Program12_2)

x[n-no] ↔ e-jωn0X(ejω)

CECOS College of Engineering and IT

March – July 2012
DTFT Properties
 Time Shifting(Program12_2)

CECOS College of Engineering and IT

March – July 2012
Task
1. Run Program12_2, and comment on your results
2. Run the program for some other values of time shift
3. Run the program for some other sequences

CECOS College of Engineering and IT

March – July 2012
DTFT Properties
 Frequency Shifting(Program12_3)

ejω0nx[n] ↔ X(ej(ω-ω0))

CECOS College of Engineering and IT

March – July 2012
DTFT Properties
 Frequency Shifting(Program12_3)

CECOS College of Engineering and IT

March – July 2012
Task
1. Run Program12_3, and comment on your results
2. Run the program for some other values of frequency
shift

3. Run the program for some other sequences

CECOS College of Engineering and IT

March – July 2012
DTFT Properties
 Convolution(Program12_4)

x[n]*h[n] ↔ X(ejω) H(ejω)

CECOS College of Engineering and IT

March – July 2012
DTFT Properties
 Convolution(Program12_4)

CECOS College of Engineering and IT

March – July 2012
Task
1. Run Program12_3, and comment on your results
2. Run the program for some other sequences

CECOS College of Engineering and IT

March – July 2012
DTFT Properties
 Time reversal(Program12_5)

x[-n] ↔ X(e-jω)

CECOS College of Engineering and IT

March – July 2012
DTFT Properties
 Time reversal(Program12_5)

CECOS College of Engineering and IT

March – July 2012
Task
1. Run Program12_3, and comment on your results
2. Run the program for some other sequences

CECOS College of Engineering and IT

March – July 2012

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