Transcript

Lab No.10

Discrete time Fourier transform (Frequency response)

CECOS College of Engineering and IT March – July 2012

Designed by : Dawar Awandawar@cecos.edu.pk

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

CECOS College of Engineering and IT March – July 2012

1. Repeat DTFT_example for three other values of

frequency

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Time Shifting(Program12_2)

x[n-no] ↔ e-jωn0X(ejω)

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Time Shifting(Program12_2)

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

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Frequency Shifting(Program12_3)

ejω0nx[n] ↔ X(ej(ω-ω0))

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Frequency Shifting(Program12_3)

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

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Convolution(Program12_4)

x[n]*h[n] ↔ X(ejω) H(ejω)

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Convolution(Program12_4)

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

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Time reversal(Program12_5)

x[-n] ↔ X(e-jω)

DTFT Properties

CECOS College of Engineering and IT March – July 2012

Time reversal(Program12_5)

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

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