Time-Frequency Analysis
Description: Study of time-freqency concepts. Use of two-dimensional
transforms to further characterize one-dimensional signals.
Textbook: Leon Cohen, Time-Frequency Analysis, Prentice-Hall, NY, 1995.
Reference: IEEE International Symposium on Time-Frequency and Time-Scale
Analysis, IEEE Press, NY, 1992. (Publ. TH4788 or ISBN 0-7803-0805-0)
Chapter Topic
1 Time and Frequency Description of Signals:
2 Instantaneous Frequency and the Complex Signal:
3 Uncertainty Principle:
4 Densities and Characteristic Functions:
5 The Need for Time-Frequency Analysis:
6 Time-Frequency Distributions and Concepts:
7-8 Short-Time Fourier Transform and Wigner Distribution:
9 General Approach and the Kernal Method:
10 Characteristic Function Operator Method:
11 Kernel Design for Reduced Interference:
12-13 Some Distributions and Further Developments:
14 Positive Distributions Satisfying the Marginals:
15 Representation of Signals:
16 Density of a Single Variable:
17 Joint Representations for Arbitrary Variables:
18-19 Scale and Joint Scale Representations:
Project: Design, analyze, and test time-frequency algorithms to
characterize standard library signals.
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