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Features of a Discrete Wigner Distribution (1996)
| Content Provider | CiteSeerX |
|---|---|
| Author | Parks, Richman Richman, M. S. Parks, T. W. Shenoy, R. G. |
| Description | in Proc. IEEE DSP Workshop We discuss important attributes of a discrete Wigner distribution derived using a grouptheoretic approach. The nature of this approach enables this distribution to satisfy numerous mathematical properties, including marginals and the Weyl correspondence. A few issues concerning the relationship of this distribution with group theory are explored in detail. In particular, the discrete distribution depends on the parity of the signal length i.e. odd distributions are computed differently than even ones. This dependence is explained and a surprising consequence is demonstrated. We also describe how this distribution satisfies covariance properties. The three fundamental types of symplectic transformations (dilation/compression, shearing, and rotation) are are given and interpreted for this discrete case. 1. INTRODUCTION The Wigner distribution is widely regarded as an important tool for analyzing signals. Its usefulness derives from the fact that it satisfies many desirable mathematical ... |
| File Format | |
| Language | English |
| Publisher Date | 1996-01-01 |
| Access Restriction | Open |
| Subject Keyword | Group Theory Weyl Correspondence Discrete Distribution Surprising Consequence Fundamental Type Important Attribute Odd Distribution Numerous Mathematical Property Many Desirable Mathematical Covariance Property Important Tool Signal Length Grouptheoretic Approach Symplectic Transformation Wigner Distribution Discrete Wigner Distribution Dilation Compression Discrete Case Usefulness Derives |
| Content Type | Text |
| Resource Type | Article |
