- Lecture 14 slides on
*Matched Filtering*in PowerPoint format.- Part 1
- Part 2
- Board. Optimal match filter impulse response in continuous time and discrete time
**YouTube**: derivation of bit error probability from 27:33 to 52:20 (Spring 2014 course)- Board. PAM baseband transmitter (after lecture)
- Board. PAM received symbol amplitude (after lecture)

- Spring 2023 lecture notes
**part 1**(Jacobellis) and**part 2**(Liu) - Additional
reading assignment from
*Communication Systems*(3rd edition) by Simon Haykin- Section 4.6 Random Processes (all)
- Section 4.9 Ergodic Processes (all)
- Section 4.10 Transmission of a Random Process Through a Linear [Time-Invariant] Filter (all)
- Section 4.11 Power Spectral Density (through page 253) especially
- Equation (4.80) on page 250 for time-averaged autocorrelation and the two limit definitions that immediately follow it.
- Equation (4.93) on page 253, which is used in the derivation of the matched filter

- Section 4.12 Gaussian Processes, but only the following parts:
- Subsection on Thermal Noise
- Subsection on White Noise
- Example 16 Ideal Low-Pass Filtered White Noise

- Spring 2014 lectures on Video: Part 1 - Part 2 - Part 3 - Part 4

- Fall 2023 marker board notes
- Spring 2023 marker board notes
- Part 1: equalization and matched filtering on marker board
- Part 1: In-Lecture Assignment #4
- Part 1:
**Lecture notes**by TA Dan Jacobellis - Part 2: matched filtering on marker board
- Part 2:
**Lecture notes**by TA Alice Liu

- Fall 2022 marker board notes
- Part 1: channel impairments review and two-way communication
- Part 2:
- Part 3: Matched filtering review and bandwidth

- Spring 2022 marker board notes
- Eye diagrams and group delay and noise
- Costas loop objective function and steepest descent algorithm for HW 6.1
- Matched filtering: also known as phase reversal and rectangular pulse shape example
- Matched filtering and steepest descent in lecture assignment by Mr. Jacobellis

- Fall 2021
- Compensating channel impairments
- Matched filtering slides by Mr. Jacobellis
- Wireless localization
- PAM transmit power

- Spring 2021 marker board notes
- Part 1: matched filtering example
- Part 2:
- baseband channel modeling with Wi-Fi example (with takeaways)
- matched filtering for rectangular pulse (with takeaways)
- autocorrelation for the Dirac delta and a Gaussian random signal

- derivation of matched filter from spring 2014 from 0:45 to 52:45, or 41:35 to 52:45 to pick up where the April 19, 2021, lecture ended
- Part 3: optimal matched filtering, rectangular pulse example and generating symbol amplitudes

- Fall 2020 lecture notes by Prof. Evans and Mr. Jacobellis:
part 1 and
part 2
- Other marker board notes in recent past semesters
- Spring 2020 Upconverted PAM transmission
- Fall 2019 Slide 14-10: Autocorrelation part 1 and part 2
- Fall 2019 Slide 14-11: Correlation part 1, part 2, and part 3

- Karagiannidis and Lioumpas, "An Improved Approximation for
the Gaussian Q function",
*IEEE Communication Letters*, August 2007. With1 x Q(x) = - erfc(-------) 2 sqrt(2)

`erfc(x)`

by`g(x) h(x)`

, where2 -x e h(x) = ---------- sqrt(pi) x -A x 1 - e g(x) = --------- B

`A`

= 1.98 and`B`

= 1.135 to minimize the absolute error for`x`

in [0, 20].

Last updated 04/21/24. Send comments to bevans@ece.utexas.edu