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

Lecture by Prof. Brian L. Evans

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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
- Fall 2024 Lecture Part 1
- Fall 2024 Lecture Part 2
  - Finite observation time
  - Parseval's Theorem
  - Demo. Matlab code for sinusoidal amplitude modulation of sinusoidal and gong signals, and gong audio file
- 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
  - Worldwide spectrum allocations by Rohde & Schwarz.
- Fall 2024 Lecture Part 4
  - Board. Review of ways to compute discrete-time cosine signal
  - Handout. Discrete-time periodicity
  - Board. Efficient mixer implementation of sinusoidal modulation
  - 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

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 09/11/24. Send comments to (Mailbox) bevans@ece.utexas.edu