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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Quinn, B.G. Clarkson, I.V.L. McKilliam, R. |
| Copyright Year | 2014 |
| Description | Author affiliation: Sch. of Inf. Technol. & Electr. Eng., Univ. of Queensland, Brisbane, QLD, Australia (Clarkson, I.V.L.) || Dept. of Stat., Macquarie Univ., Sydney, NSW, Australia (Quinn, B.G.) || Inst. For Telecommun. Res., Univ. of South Australia, Mawson Lakes, SA, Australia (McKilliam, R.) |
| Abstract | We examine the problem of estimating the periods of interleaved periodic point processes. We are particularly interested in the case where times of arrival (TOAs) are either measured with noise or not measured at all. This can arise in communications surveillance, where communications signals of different bauds may lie within the same surveillance bandwidth, and likewise in Electronic Surveillance (ES), where pulses or scans from different radars are observed together. In [1], the authors developed a general asymptotic theory for the Bartlett point-process periodogram estimator of the period of a single periodic process. In this paper, we extend the model to multiple periodic processes, each with a distinct period. The TOAs are observed unlabelled and in time order, i.e., they are interleaved. The largest local maximizers of the periodogram are shown to be good estimators of the unknown periods, asymptotically, and central limit theorems are proved. Simulations highlight a number of practical problems, and some problems with outstanding solutions are suggested. |
| Starting Page | 232 |
| Ending Page | 235 |
| File Size | 140274 |
| Page Count | 4 |
| File Format | |
| ISBN | 9781479949755 |
| DOI | 10.1109/SSP.2014.6884618 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2014-06-29 |
| Publisher Place | Australia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Noise measurement Conferences Signal processing Educational institutions Australia Timing Electronic mail interleaved signals Period estimation point process periodogram |
| Content Type | Text |
| Resource Type | Article |
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