- Lecture 5 slides on
*Finite Impulse Response Filters*in PowerPoint format.- "ABC", Jackson 5.

Performed Feb. 21, 1970, on Bandstand, three days before song was released.

#1 hit. Song inducted into Grammy Hall of Fame on Nov. 7, 2016.

Jackson 5 inducted into the Rock and Roll Hall of Fame in 1997. - Spring 2024 Part 1
- Board. Using chirp signals for system identification
- Board. Spectrogram review
- Board. Decomposing a discrete-time signal
- Demos. continuous-time and discrete-time convolution in MATLAB

- Spring 2024 Part 2
- Board. Transfer function of an ideal delay in the z-domain
- Board. ROC for z-transform of a^n u[n]
- Board. Z-transform of the sum of two signals
- Board. Connection between Z and discrete-time Fourier transforms
- Board. Delay in time leads to a shift in phase
- Board. Linear phase
- Board. Connection between frequency domains
- Board. Eigenfunctions

- Spring 2024 Part 3
- Board. Photo detector array
- Demo #1: imageRampsCosines.m to introduce images and their frequencies
- Board. Derivation of linear phase response for an averaging filter
- Demo #2: Cascading FIR filters image processing demo from
*DSP First* - Board. Wordlength expansion due to FIR filtering

- Spring 2024 Part 4
- Board. Review of Cascades of LTI Systems
- Board. FIR Linear Phase due to Symmetry in Impulse Response
- Demo #3: ImagePhaseDemo.m to show importance of phase information in images (slide 5-27)
- Handout: Designing Averaging Filters

- Interactive demo for filtering audio signals

- "ABC", Jackson 5.
- Sound Shield acoustic noise masking senior design project
video and
filter bank
- Spring 2014 lecture on FIR filters on Video: Part 1, Part 2, Part 3 and Part 4.

- FIR filter introduction
- Handout Q Four ways to filter a signal
- "Wireless Surface Acoustic Wave Sensors",
by Kerem Durdag,
*Sensors and Transducers Journal*, July 2009.*Surface acoustic wave filters are FIR filters.* - Fall 2023 marker board notes
- Fall 2023 Part 1
- Board. LTI review plus convolution
- Demos. continuous-time and discrete-time convolution in MATLAB
- Board. Lowpass Filtering using convolution demo
- Handout: Designing Averaging Filters

- Fall 2023 Part 2
- Fall 2023 Part 3
- Review of FIR Filters and Group Delay
- Demo #1: imageRampsCosines.m to introduce images and their frequencies
- Demo #2: Cascading FIR filters image processing demo from
*DSP First* - Demo #3: ImagePhaseDemo.m to show importance of phase information in images (slide 5-27)

- Interactive demo for filtering audio signals

- Fall 2023 Part 1
- Spring 2023 marker board notes
- Spring 2023 Part 1
- Equalization and FIR Filter Initial Conditions
- Demos: continuous-time and discrete-time convolution in MATLAB
- Handout: Designing Averaging Filters
**Lecture Notes**by TA Alice Liu

- Spring 2023 Part 2
- Spring 2023 Part 3
- LTI system behavior in time, frequency and z domains
- Frequencies captured during sampling
- Demo #1: imageRampsCosines.m to introduce images and their frequencies
- Demo #2: Cascading FIR filters image processing demo from
*DSP First* **Lecture Notes**by TA Dan Jacobellis

- Spring 2023 Part 4
- Demo: ImagePhaseDemo.m to show importance of phase information in images (slide 5-27)

- Spring 2023 Part 1
- Fall 2022 marker board notes
- Part 1
- Bounded-input bounded-output (BIBO) stability introduction and handout
- Discrete-time convolution derivation step

- Part 2
- Part 3
- Part 4

- Part 1
- Spring 2022 marker board notes
- Part 1: Convolution and Z-transforms
- Part 2: Convolution Demos and Frequency Responses
- MATLAB demos of continuous-time and discrete-time convolution
- Notes on convolution demos
- Discrete-Time Fourier Transforms

- Part 3: Image Processing Demonstrations
- Review: LTI systems in time and frequency domains
- Delay in time becomes shift in phase
- imageRampsCosines.m to introduce images and their frequencies
- First-order difference filter frequency response and phase response discontinuity
- FIR filters in cascade (lecture slides 5-21 to 5-25)

- Part 4: More Image Processing Demonstrations
- Number of bits needed for LTI in the FIR filters in cascade demo
- ImagePhaseDemo.m to show importance of phase information in images (slide 5-27)

- Fall 2021 marker board notes
- Part 1: equalization, FIR run-time complexity, and LTI system time responses
- Part 2: z-transform to DTFT and linear phase and constant group delay

- Spring 2021 notes from the marker board
- Part 1: discrete-time frequency domain periodicity and equalization
- Part 2: takeaways, convolution derivation, convolution demos and z-transforms
- Part 3: takeaways, frequency domains, group delay, and bandpass transmission
- Part 4: Spring 2014 FIR filtering of images video 11:10 to 33:47 and slides 5-19 to 5-21, and importance of linear phase

- Fall 2020 notes from the marker board
- Linear vs. circular buffers
- Equalization (slide 5-3) and convolution (slide 5-8)
- Time shift leads to phase shift (slides 5-12 and 5-13)
- LTI systems do not create new frequencies (slide 5-14)
- Takeaways, image ramps & cosines, and averaging & first-order difference filters (slides 5-18 to 5-20)
- Group delay for averaging & first-order difference filters (slide 5-20)

- "Transients in FIR Filtering of Tonebursts", Gerald Cain, April 4, 2016. Linear phase FIR filtering of a sinuosidal tone to show effects of group delay.

Last updated 02/21/24. Send comments to bevans@ece.utexas.edu