Schedule

Readings:

• Chapter 1: Foundations of Signal Processing, M. Vetterli, J. Kovacevic, V. K. Goyal

Readings:

• Chapter 2: Foundations of Signal Processing, M. Vetterli, J. Kovacevic, V. K. Goyal

Viewing:

• The Vector Space of Polynomials, Trefor Bazett

Readings:

• Chapter 1: Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood
• Chapter 4: Foundations of Signal Processing, M. Vetterli, J. Kovacevic, V. K. Goyal

Codes:

• Making sine waves
• Estimate Fourier series

Readings:

• Chapter 2: Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

Readings:

• Chapter 2: Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

Code:

• Rect(.) Fourier series

Readings:

• Chapter 2: Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

Readings:

• Chapter 3: Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

Demos:

• Convolution Demo 1
• Convolution Demo 2

Viewings:

• Anatomy of human ear

Readings:

• Chapter 5: Sampling and Interpolation Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

• Chapter 4: Distributions Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

• Chapter 5: Sampling and Interpolation Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

• Chapter 5: Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

• Chapter 6: Lecture Notes for EE 261 - The Fourier Transform and its Applications, Brad Osgood

Demos:

• Fourier transform as a Neural Network

Project:

• Our Project Repository

Videos:

• What is Fourier Transform

Reading:

• How the FFT Gained Acceptance by James W. Cooley
• Gauss and the History of the Fast Fourier Transform by Michael T. Heideman, Don H. Johnson, C. Sidney Burrus.

Code:

• Computing DFT in python
• Denosing with DFT

Reading:

• 2-D Fourier Transform and applications by A. Zisserman.
• 2-D Fourier Tranform with python by Stephen Gruppetta.

Code:

• 2-D FFT Images
• Taj Mahal Image

Reading:

• Theory of communication by Dennis Gabor.
• Estimating and interpreting the instantaneous frequency of a signal-Part 1: Fundamentals by Boualem Boashash.

Code:

• Computing STFT
• Audio sample

Reading:

• Sec. 9 in Pattern Reocgnition and Machine Learning by C. Bishop.
• Data clustering: a review by A. K. Jain, et al., 1999.

Reading:

• Chap. 12: PCA by C. Bishop.
• Section 4.1.4 Fisher’s linear discriminant by C. Bishop.

Code:

• PCA
• LDA and PCA

Reading:

• Basis Representations and Sparsity by Justin Romberg.
• Atomic Decmpositions by Basis Pursuit by Chen, Donoho, and Saunders.