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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Gray, J.E. |
| Copyright Year | 2005 |
| Abstract | In order to understand the problems intractable problems nature presents us, we are forced to make simplifications till we arrive at simple analytical models that we are capable of understanding. Such canonical models are rare, but useful as tools for constructing more realistic models that we can use analyze nature. The class of analytical models for clutter analysis limited to those that consist of various amplitude models with the phase noise assumed to have a probability density function that is uniformly distributed. These analytical models can be extended by relaxing the assumption of uniform phase noise to phase noise with non-uniform distributions. It is shown how to determine the probability density function for these non-uniform distributions in general and then the method is illustrated with such distributions as Gaussian, Laplacian, and Chi-squared. This enables one to determine the probability density functions of the individual components of clutter model such as x/sub t/ = v/sub t/ cos(/spl Phi//sub c/). Using the rule for determining the products of distributions, we show that the functional form for x/sub t/ is reduced to evaluating integrals that reduce to elliptical functions. Once the functional form has been determined, it is easy to determine the moments of the PDF and hence completely characterize its statistics. |
| Sponsorship | Nat. Capital Area Council IEEE Aerospace and Electron. Syst. Soc. RADAR Syst. Panel |
| Starting Page | 365 |
| Ending Page | 370 |
| File Size | 166937 |
| Page Count | 6 |
| File Format | |
| ISBN | 078038881X |
| DOI | 10.1109/RADAR.2005.1435852 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2005-05-09 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Clutter Phase noise Analytical models Probability density function Random variables Acoustic scattering Rayleigh scattering Laplace equations Statistical distributions Doppler radar |
| Content Type | Text |
| Resource Type | Article |
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