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Lab No.10 Discrete time Fourier transform (Frequency response) CECOS College of Engineering and IT March July 2012 Designed by : Dawar Awan [email protected]

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Page 1: matlab 10

Lab No.10

Discrete time Fourier transform (Frequency response)

CECOS College of Engineering and IT March – July 2012

Designed by : Dawar [email protected]

Page 2: matlab 10

DTFT : Example

CECOS College of Engineering and IT March – July 2012

Page 3: matlab 10

DTFT : Example

CECOS College of Engineering and IT March – July 2012

Page 4: matlab 10

DTFT : Example

CECOS College of Engineering and IT March – July 2012

Page 5: matlab 10

DTFT : Example

CECOS College of Engineering and IT March – July 2012

Page 6: matlab 10

DTFT : Example

CECOS College of Engineering and IT March – July 2012

Page 7: matlab 10

DTFT : Example

CECOS College of Engineering and IT March – July 2012

Page 8: matlab 10

Task

CECOS College of Engineering and IT March – July 2012

1. Repeat DTFT_example for three other values of

frequency

Page 9: matlab 10

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Time Shifting(Program12_2)

x[n-no] ↔ e-jωn0X(ejω)

Page 10: matlab 10

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Time Shifting(Program12_2)

Page 11: matlab 10

Task

CECOS College of Engineering and IT March – July 2012

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

Page 12: matlab 10

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Frequency Shifting(Program12_3)

ejω0nx[n] ↔ X(ej(ω-ω0))

Page 13: matlab 10

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Frequency Shifting(Program12_3)

Page 14: matlab 10

Task

CECOS College of Engineering and IT March – July 2012

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

Page 15: matlab 10

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Convolution(Program12_4)

x[n]*h[n] ↔ X(ejω) H(ejω)

Page 16: matlab 10

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Convolution(Program12_4)

Page 17: matlab 10

Task

CECOS College of Engineering and IT March – July 2012

1. Run Program12_3, and comment on your results

2. Run the program for some other sequences

Page 18: matlab 10

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Time reversal(Program12_5)

x[-n] ↔ X(e-jω)

Page 19: matlab 10

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Time reversal(Program12_5)

Page 20: matlab 10

Task

CECOS College of Engineering and IT March – July 2012

1. Run Program12_3, and comment on your results

2. Run the program for some other sequences