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Cramer-Rao bound and optimal amplitude estimator of superimposed sinusoidal signals with unknown frequencies
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jia, Shaohui |
| Copyright Year | 2000 |
| Abstract | This dissertation addresses optimally estimating the amplitudes of superimposed sinusoidal signals with unknown frequencies. The Cramer-Rao Bound o f estimating the amplitudes in white Gaussian noise is given, and the m axim um likelihood estimator o f the amplitudes in this case is shown to be asymptotically efficient at high signal to noise ratio but finite sample size. Applying the theoretical results to signal resolutions, it is shown that the optimal resolution o f multiple signal* using a finite sample is given by the maximum likelihood estimator o f the amplitudes o f signals. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://digitalcommons.latech.edu/cgi/viewcontent.cgi?article=1168&context=dissertations |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
