ECE 445S Real-Time Digital Signal Processing Laboratory - Lecture 1

Lecture by Prof. Brian L. Evans

Announcements: Job Search, Part 1

Lecture

Lecture 1 slides on Sinusoidal Generation in PowerPoint format.
- Homework #0 problems
  - 1-3 modulation, demodulation, and sampling in continuous time
  - 4 sinusoidal generation in discrete time
- Spring 2025 Lecture Part 1
- Spring 2025 Lecture Part 2
  - Sampling and Filtering to Reduce Aliasing
  - Communication System Analog/RF Front Ends to improve SNR
  - Demo. Matlab code for sinusoidal amplitude modulation of sinusoidal and gong signals, and gong audio file
- Spring 2025 Lecture Part 3
- Spring 2025 Lecture Part 4
  - Worldwide spectrum allocations by Rohde & Schwarz.
  - Wi-Fi SDR Receiver
  - Handout. Discrete-time periodicity
  - Demo. Effect of noise and interference on Wi-Fi in the unlicensed 2.4 GHz band, and demonstration of bandwidths. Keysight Technologies, 2020. Bluetooth transmissions uses 1 or 2 MHz of bandwidth, and Wi-Fi transmissions use 20 MHz of bandwidth.
- Handout. Designing averaging filters
- Song. "AM Radio", by Everclear, 2000.
- Tremolo. The Smiths, "How Soon is Now?", opening guitar riff has a tremolo effect by guitarist Johnny Marr, with a second voice playing slide guitar. Tremolo is rapid change in volume to give a sensation of motion, and is rapidly varying modulation effect. "Songs that Changed Music: The Smiths - How Soon Is Now".
Spring 2014 lecture on video: Part 1 and Part 2.

Supplemental Material

Fall 2024
- Fall 2024 Lecture Part 2
  - Finite observation time
  - Parseval's Theorem
- Fall 2024 Lecture Part 3
  - Board. Antenna length proportional to wavelength
  - Board. Quadrature Amplitude Modulation Tx and Rx
  - Board. Time delay means phase delay
  - Handout. Sampling
  - Board. Discrete-time periodicity
  - Board. Symmetry in one period of a cosine function
- Fall 2024 Lecture Part 4
  - Board. Review of ways to compute discrete-time cosine signal
  - Board. Efficient mixer implementation of sinusoidal modulation
- Spring 2024
  - Spring 2024 Lecture Part 1
    - Board. Review for Lecture 0
    - Board. Bandwidth
  - Spring 2024 Lecture Part 2
    - Board. Review of Bandwidth
    - Board. Quadrature Amplitude Modulation Tx and Rx
  - Spring 2024 Lecture Part 3
    - Board. Channel Capacity
    - Board. Sampling Theorem
    - Board. Impulse Train Fourier Series Expansion
    - Board. Periodicity in Frequency Domain due to Sampling
  - Spring 2024 Lecture Part 4
    - Board. Periodicity for a continuous-time cosine signal
- Fall 2023
  - Fall 2023 Lecture Part 1
    - Board. Sinusoids and Thermal Noise
  - Fall 2023 Lecture Part 2
    - Board. Review of thermal noise
    - Demo. Effect of noise and interference on Wi-Fi and demonstration of bandwidths, Keysight Technologies, 2020 (Bluetooth transmissions uses 1 MHz bandwidth and Wi-Fi transmissions use 20 MHz bandwidth)
    - Board. Amplitude modulation
  - Fall 2023 Lecture Part 3
    - Song. "AM Radio", by Everclear, 2000.
    - Tremolo. The Smiths, "How Soon is Now?", opening guitar riff has a tremolo effect by guitarist Johnny Marr, with a second voice playing slide guitar. Tremolo is rapid change in volume to give a sensation of motion, and is rapidly varying modulation effect. "Songs that Changed Music: The Smiths - How Soon Is Now".
    - Board. Tremolo, mixer and sampling
    - Demo. Matlab code for sinusoidal amplitude modulation of sinusoidal and gong signals, and gong audio file
    - Handouts. Sampling and Discrete-time Periodicity
- Spring 2023 notes
  - Course theme and frequency units
  - Cellular communications: bandwidths in 4G and 5G and degrees of freedom in design
  - Bandwidth review and the Dirac delta
  - Lecture Notes by TA Alice Liu
  - Sampling a cosine signal
  - Initial conditions for difference equation method
  - Lecture Notes by TA Dan Jacobellis
- Fall 2022 marker board notes
  - QAM Takeaways, CT impulse and DT frequency
  - IEEE floating point, DT impulse and cosine symmetry
- Spring 2022 marker board notes:
  - Bandwidth: thermal noise and finite observation time and baseband signals
  - Takeaways: design flow and bandwidth
  - Filter design: averaging filter and performance evaluation
  - Sampling: cosine signal and cosine lookup table
  - Communication systems: modulation, analog/RF front end courses, and degrees of freedom
- Spring 2021 marker board notes:
  - Part 1: takeaways from lecture #0 and thermal noise
  - Part 2: impulse trains (homework 0.3) and takeaways and modulation
  - Part 3: communication resources, averaging filter and sampling
  - Part 4: takeaways, averaging filter frequency response and C and Matlab code to generate cosine.
- Fall 2020 marker board notes:
  - Finite observation and sinusoidal modulation
  - Sinusoidal demodulation and sampling a cosine
  - Linear time-invariant oscillators: discrete-time implementation (slide 1-19) and bounded-input bounded-output (BIBO) instabilty
  - Mixer circuit (slide 1-26)
- Professor Mike Merrifield, University of Nottingham, "What is the maximum Bandwidth?", Oct. 3, 2013.
- Sinusoidal demonstrations from DSP First and SUNY Stony Brook
- Notes on sinusoids from spring 2006.
Last updated 01/29/25. Send comments to bevans@ece.utexas.edu