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Digital Signal Processing


Course Description

Introduction to Digital Signal Processing. Students will develop an understanding of discrete-time signals and systems, perform signal analyses in the time and frequency domains using Z and Fourier transforms, and apply them in the design of filters in application areas such as sound, images, and video.

Additional Requirements for Graduate Students:
Graduate students can either complete a project or answer an additional question on each exam. This additional question is specifically designed to be more challenging and will be graded at a higher standard compared to the questions assigned to undergraduate students.


Athena Title

Digital Signal Processing


Prerequisite

ELEE 4210/6210


Semester Course Offered

Offered every year.


Grading System

A - F (Traditional)


Student Learning Outcomes

  • Students will develop an understanding of continuous- and discrete-time signals and systems.
  • Students will be able to perform signal analyses in the time and frequency domains using Z- and Fourier transforms.
  • Students will learn computer-aided design techniques and apply them in the design of filters in application areas such as sound, images and video.

Topical Outline

  • 1. Signals in continuous-time and discrete-time systems - Concept of frequency in continuous and discrete signals / A/D and D/A conversions.
  • 2. Discrete Signals - Operations on Discrete Signals / Decimation and Interpolation / Discrete-Time Harmonics and Sampling Theorem / Random Signals.
  • 3. Time-Domain Analysis - Difference Equations / Zero-Input Response and Zero-State Response / Impulse Response / Discrete Convolution / Stability and Causality / System Response to Periodic Inputs / Periodic or Circular Convolution / Deconvolution.
  • 4. z-Transform Analysis - Poles, Zeros, and the z-Plane / Transfer Function / Inverse z-Transform / z-Transform and System Analysis.
  • 5. Frequency Domain Analysis – Discrete-time Fourier Transform from z-Transform / Properties / DTFT of Discrete-Time Periodic Signals / Inverse DTFT / Frequency Response / System Analysis Using DTFT.
  • 6. Digital Processing of Analog Signals - Sampling, Interpolation, and Signal Recovery / Sampling Rate Conversion / Quantization / Dynamic Range Processors.
  • 7. Design of Finite Impulse Response Filters.
  • 8. Design of Infinite Impulse Response Filters.
  • 9. Discrete Fourier Transform and Its Applications.