Time-Frequency Analysis: Chapter 13

Lecture 1: Ch. 13.1

 

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Time-Frequency 1: This lecture provides an introduction to time-frequency representation and the Fourier transform.

 

Lecture 2: Ch. 13.2

 

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Time-Frequency 2: This lecture introduces the concept of frequency filtering using Fourier transforms.

 

Lecture 3: Ch. 13.3

 

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Time-Frequency 3: This lecture talks about signal detection and averaging.

 

 

 

Lecture 4: Ch. 13.4

 

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Time-Frequency 4: This lecture provides an introduction to time-frequency analysis and the Gabor transform, or short-time Fourier transform.

 

Lecture 5: Ch. 13.5-13.6

 

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Time-Frequency 5: This lecture introduces wavelet transforms and their mathematical properties. Further, a formal architecture for a multi-resolution analysis is given in the second part of the lecture.

 

Lecture 6: Ch. 13.7

 

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Time-Frequency 6: This lecture implements a basic Gabor transform and shows how to construct a spectrogram.

 

 

 

Lecture 7: Ch. 13.8

 

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Time-Frequency 4: This lecture provides an introduction to MATLAB’s signal processing and wavelets toolboxes, highlighting many of its sophisticated filtering techniques.

 

 

 

KEY REFERENCES

J. N. Kutz, NOTES — CHAPTER 13 (Kutz, Data-Driven Modeling & Scientific Computation, Oxford 2013)

S. Mallat, A Wavelet Tour of Signal Processing — The Sparse Way (Academic Press, 3rd Edition, 2009)

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