Practice Problems on Digital Signal Processing

(e.g., ECE438)

- Basic material and review

- Summation exercises

- CTFT exercises

- DTFT exercise

- Sampling and Nyquist Rate

- Z-transform and inverse z-transform
- Prove the modulation property of the z-transform
- z-transform computing with question about ROC
- Prove the scaling property of the z-transform
- compute the z-transform of this function
- Practice Question on z-transform computation
- Practice Question on inverse z-transform computation
- Computation of the z-transform
- Another computation of the z-transform
- Computation of the inverse z-transform
- Another computation of the inverse z-transform
- Compute this z-transform
- Compute this z-transform
- Compute this z-transform and obtain Fourier transform
- Obtain the inverse z-transform
- Obtain the inverse z-transform
- Obtain the inverse z-transform
- Obtain the inverse z-transform
- Obtain the inverse z-transform
- Obtain the inverse z-transform
- Obtain the inverse z-transform

- DFT

- Spectral Analysis of continuous-space (2D) signals

- Spectral Analysis of discrete-space (2D) signals

- Filter design

## More Practice Problems on Digital Signal Processing (with solutions)

- Z transform

- Inverse z-transform: summary of theory and practice examples with solutions
- Interpolation(up-sampling) and Decimation(down-sampling)

- DFT and FFT

- LTI system

- LTI system and filter design

- Properties of LTI system

- Describe a LTI system using Difference equation, transfer function and impulse response

- Periodic Convolution

- DFT and Periodic Convolution

- 2D system

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