# Academics  /  Courses  /  DescriptionsELEC_ENG 359: Digital Signal Processing

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ELEC_ENG 222

### Description

CATALOG DESCRIPTION: Discrete-time signals and systems, Discrete-Time Fourier Transform, z-Transform, Discrete Fourier Transform, Digital Filters.

REQUIRED TEXT: A.V. Oppenheim and R.W. Schafer, Discrete-Time Signal Processing , Prentice Hall, 3rd edition.

REFERENCE TEXTS:
J.H. McClellan et al., Computer-Based Exercises for Signal Processing Using MATLAB 5, Prentice Hall 1999.

COURSE COORDINATOR: Prof. Thrasyvoulos N. Pappas

COURSE GOALS: To provide a comprehensive treatment of the important issues in design, implementation, and application of digital signal processing algorithms.

PREREQUISITES: ELEC_ENG 222

PREREQUISITES BY TOPIC:

1. Signals and linear systems theory

2. Laplace and Fourier transform

DETAILED COURSE TOPICS:

Discrete-time signals and systems. Linear Time-Invariant (LTI) Systems.
Linear constant-coefficient difference equations.
Frequency domain representation of discrete-time signals and systems.
The Discrete-time Fourier transform.
The z-transform, the inverse z-Transform, z-Transform properties.
Sampling of continuous-time signals. Sampling Theorem.
Sampling Rate Conversions.
Transform analysis of linear time-invariant systems.
The Frequency Response of LTI Systems.
Linear Systems with Generalized Linear Phase.
FIR and IIR filters. Structures for discrete-time systems.
Representation of Periodic and Finite-duration Sequences.
The Discrete Fourier Series.
The discrete Fourier transform.
Linear and Circular convolution.
Computation of the discrete Fourier transform.
Decimation-In-Time and Decimation-In-Frequency FFT Algorithms.
FIR and IIR filter design techniques.

COMPUTER USAGE: Students use MATLAB on a platform of their choice to do problems illustrating the above topics.

LABORATORY PROJECTS: See computer usage.