**DIGITAL SIGNAL PROCESSING**

Digital Signal Processing

**Textbook**: *Discrete-Time Signal Processing*, Prentice Hall, 2nd Edition Alan Oppenheim, Ronald Schafer, John Buck

**Lecture Notes **the University of Texas at Austin

**Course Outline:**

- Introduction to Digital Signal Processing
- Sampling of Continuous-Time Signals
- Discrete-Time Signals and System
- The Z-Transform
- Transform Analysis of Linear Time-Invariant Systems
- Filter Design Techniques
- Structures for Discrete-Time Systems
- The Discrete-Fourier Transform
- Computation of the Discrete-Fourier Transform

*Modern Digital Signal Processing*

*Modern Digital Signal Processing*

**Text Book:** Roberto Cristi, ** Modern Digital Signal Processing**, Brooks Cole, 2003.

*Homework Solutions Computer Assignments ,slides and more *Lectures Notes

**Introduction to DSP**

**Text Book**: *Signal Processing and Linear Systems* by B.P. Lathi, second international edition, 2009, Oxford University Press.

Review of Signals and Systems, Continuous- and Discrete-Time Fourier Series, Continuous- and Discrete-Time Fourier Transform, Z-Transform, Frequency Domain Analysis of Discrete-Time LTI Systems, Sampling, Fast Fourier Transform.

Assignment 1 | Assignment 2 | Assignment 3 | Assignment 4 |

Assignment 5 | Assignment 6 | Assignment 7 |

## Advanced Digital Signal Processing : *Streaming Algorithms and Dimensionality Reduction*

*1- * *Introduction to streaming algorithms. Estimating the number of distinct elements and the L0 norm.*

*3- ** Estimating the Lp norms using p-stable distributions.*

*4- * *Heavy hitters and sparse approximations. *

*5- ** Compressive sensing. Sparse recovery using sparse matrices. RIP1 principle. State of the art table. *

6- *Lower bounds for streaming and compressed sensing. *

*Digital Signal Processing Purdue University*

**Text Book** :*Digital Signal Processing*, 3rd edition, John G. Proakis and Dimitris G. Manolakis, Prentice- Hall, **Course Description** **: **linear time invariant systems; manipulate discrete parameter signals; linear transforms; linear system analysis to engineering problems.