EE 313 Linear Systems and Signals - Lecture 9

Announcements

• Homework #6 is due on Friday, Oct. 25, 2024, by 11:59pm

Lecture

• Lecture slides on Frequency Response of FIR Filters in PowerPoint format.
  • Part 1
    • Discrete-time Frequency Response
  • Part 2
    • Review of Discrete-Time Frequency Responses
    • Using delay to locate a sound source in the environment
    • Linear phase means a constant delay
    • Filter responses for two-point averaging filter and filter-order difference filter
• Fall 2018: Lecture notes by Mr. Houshang Salimian (TA)

Supplemental

• Fall 2023
  • Part 1 marker board and doccam pictures
    • An LTI System is uniquely represented by its impulse response
    • Connection between LTI system frequency response and matrix eigendecomposition
    • Convolution for two-tap averaging filter
    • Frequency response of two-tap averaging filter
    • Discrete-Time Fourier Transform of delayed impulse
  • Matlab demos: imageRampsCosines.m and cascading FIR filters to visualize image frequencies
  • Part 2 marker board and doccam pictures
    • Frequency responses for LTI delay by two samples, two-point averaging filter, and first-order difference filter
    • Delay in time is shift in phase: for zero initial phase and for non-zero initial phase
• Fall 2021
  • Discrete-time frequency responses and periodicity
  • Convolution example
  • Review of LTI Systems

Last updated 10/25/24. Send comments to Prof. Evans at bevans@ece.utexas.edu