Linear and quadratic time-frequency representations

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Authors
  1. Thayaparan, T.
Corporate Authors
Defence Research Establishment Ottawa, Ottawa ONT (CAN)
Abstract
This report is reviewing both linear and quadratic time-frequency representations. The linear representations discussed are Short-Time Fourier Transform and S-transform. The quadratic representation discussed is the Wigner distribution. We outline the motivations, interpretations, mathematical fundamentals, properties, and applications of these linear and quadratic time-frequency representations. We also compare these three different time-frequency analysis techniques and show that each technique has its strengths and drawbacks. Simulated data sets have been used for the comparison. The choice of the particular time-frequency representation depends upon the specific area of application and what we aim to achieve with a local frequency analysis. We show that time-frequency analysis methods should enable us to classify signals with a considerably greater reflection of the physical situation that can be achieved by the conventional Fourier Transform method alone.
Keywords
Time frequency representations;Time frequecy analysis;Short-time Fourier transform;Time-frequency energy representations;S-transform
Report Number
DREO-TM-2000-080 — Technical Memorandum
Date of publication
01 Nov 2000
Number of Pages
118
DSTKIM No
CA010463
CANDIS No
514957
Format(s):
Hardcopy;Document Image stored on Optical Disk

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