ECE 445S Real-Time Digital Signal Processing Laboratory - Lecture 3

Lecture by Prof. Brian L. Evans

Announcements: Job Search, Part 2

Lecture

Lecture 3 slides on Discrete-Time Signals and Systems in PowerPoint format.
- Fall 2024 Part 1
- Fall 2024 Part 2
  - Handouts: Time-invariance for an integrator and delay under observation
- Fall 2024 Part 3
  - Demo: "Sandstorm", Darude, 1999, requested by Fall 2016 student. Synthesia Animation to show a time-frequency representation of the song.
  - Tuneup: In-Lecture Assignment #1 on time-frequency representations
  - Board: Frequency resolution in spectrograms
- Fall 2024 Part 4
  - Averaging and First-Order Difference Filters
- Demo: filtering audio signals. Noise and sweep signals filtered by lowpass, bandpass and highpass filters.
Spring 2014 lecture on video: Part 1 and Part 2

Supplemental Material

Spring 2024 notes
- Spring 2024 Part 1. Board: Rectangular Pulse
- Spring 2024 Part 2
  - Board: Discrete-time unit step in Matlab
  - Board: Linearity of an integrator when observing for t ≥ 0
  - Board: Time invariance of a delay when observing for t ≥ 0
  - Board: Amplitude modulation is time-varying (after lecture)
  - Board: All pointwise operations are time-invariant (after lecture)
- Spring 2024 Part 3
  - Board: Effects of finite observation in time
  - Board: Continuous-time frequencies captured by sampling
  - Board: Sampling to obtain, and reconstruction of, a discrete-time impulse
Fall 2023 notes
- Fall 2023 Part 1
  - Board: Review of modulation and demodulation
  - Demo: filtering audio signals. Noise and sweep signals filtered by lowpass, bandpass and highpass filters.
- Fall 2023 Part 2
  - Demo: "Sandstorm", Darude, 1999, requested by Fall 2016 student. Synthesia Animation to show a time-frequency representation of the song.
  - Board: Review of System Properties and Linearity of integration under observation
  - Board: Scalar gain has linearity property
  - Handouts: Time-invariance for an integrator and delay under observation
  - Tuneup: In-Lecture Assignment #1
- Fall 2023 Part 3
  - Board:. Review of chirps and spectrograms from in-lecture assignment #1
  - Board:. Spectrogram windowing, and time and frequency resolution for a deeper dive into in-lecture assignment #1
  - Board: Reconstruction of Discrete-Time Impulse
  - Board: Sampling 30 kHz sinusoidal at 48 kHz
  - Demo: Human hearing vs. age: How Old Are Your Ears? and large-scale study (Fig. 4)
- Designing averaging filters
Spring 2023 notes
- Part 1
  - Dirac delta
  - Filtering demo: lowpass filter and chirp signal (sweep)
  - GPS
  - Lecture Notes by TA Dan Jacobellis
- Part 2
  - System properties
  - Lecture Notes by TA Alice Liu
- Part 3
Fall 2022 marker board notes
- Part 1
  - Digital vs. Analog and the Dirac delta
  - Fourier transform of the Dirac delta
  - Cellular Communications: basestations, 4G and 5G frequency bands, and companies
- Part 2
  - Takeaways from Lecture 3 Part 1
  - Determining system linearity property
  - Homogeneity property for integrator under observation during class and after class
  - In-lecture #1 assignment chirp signal parameters and spectrogram time and frequency resolution
  - Handout on Time Invariance for an Integrator
- Part 3
  - Handout on time-invariance of an ideal delay under observation
  - Continuous-time LTI properties for integrator, ideal delay and sinuosidal amplitude modulation
  - Continuous-time finite and infinite impulse response systems
  - After-lecture discussion on linearity for an ideal delay
- Part 4
Spring 2022 marker board notes
- Part 1: Continuous-Time Signals
- Part 2: Continuous-Time Systems
  - takeaways from part 1
  - pointwise systems
  - initial conditions for an integrator and tapped delay line
  - Handout on Time-Invariance of a System Under Observation
  - linearity for system described by linear constant coefficient differential equation
- Part 3: Discrete-Time Systems
Fall 2021 marker board notes
- time-invariance for an ideal delay
- aliasing analyzed in the time and frequency domains
- LTI property after implementation
Spring 2021 marker board notes
- Part 1: Z and Fourier transforms, signal properties and Dirac delta properties
- Part 2: continuous-time and discrete-time convolution, and ideal delay
- Part 3: sampling and aliasing
Fall 2020 marker board notes

Last updated 09/24/24. Send comments to (Mailbox) bevans@ece.utexas.edu