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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Hearon, S. Amin, M. |
| Copyright Year | 1991 |
| Description | Author affiliation: Dept. of Electr. Eng., Villanova Univ., PA, USA (Hearon, S.; Amin, M.) |
| Abstract | In random processes, reduced spectrum estimate variance becomes an important property which augments the list of desired time-frequency properties of modern distributions. The degrees of freedom left in the two-dimensional kernel after satisfying the support, the marginal, and the instantaneous frequency requirements are used to yield a kernel of minimum variance. The average variance over the Nyquist interval of the spectrum estimate of a white noise process is used as the measure to be minimized. It is proved that the Born-Jordan kernel has the lowest possible average variance. It is also shown that the cone-shape of the modern time-frequency kernels is primarily responsible for their high variance. A comparison of the statistical performance of different shapes of kernels is provided. |
| Starting Page | 359 |
| Ending Page | 363 |
| File Size | 261890 |
| Page Count | 5 |
| File Format | |
| ISBN | 0818624701 |
| ISSN | 10586393 |
| DOI | 10.1109/ACSSC.1991.186473 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1991-11-04 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Time frequency analysis Kernel Frequency estimation White noise Autocorrelation Random processes Shape Equations Noise measurement Modems |
| Content Type | Text |
| Resource Type | Article |
| Subject | Signal Processing Computer Networks and Communications |
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