Multiple-tone estimation by IEEE standard 1057 and the expectation-maximization algorithm
2003 (English)In: IMTC/O3: PROCEEDINGS OF THE 20TH IEEE INSTRUMENTATION AND MEASUREMENT TECHNOLOGY CONFERENCE, 2003, 739-742 p.Conference paper (Refereed)
The aim of this work is to present an efficient algorithm for multiple-tone parameter estimation. The algorithm is inspired by the expectation-maximization algorithm, and it utilizes the IEEE standard 1057 for single tone parameter estimation. In the derivation of the algorithm it is assumed that the number of tones are known and that the frequencies are well separated The algorithm is evaluated using data consisting of multiple real-valued tones. The performance of the frequency estimator is studied and compared with the asymptotic Cramer-Rao bound (CRB). It is shown that the algorithm produces statistically efficient frequency estimates at high signal to noise ratios, that is the variance of the estimates reaches the CRB. Finally, it is shown that the algorithm can produce efficient estimates independent of the number of tones in the input signal.
Place, publisher, year, edition, pages
2003. 739-742 p.
, IEEE Instrumentation and Measurement Technology Conference, ISSN 1091-5281
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-34998ISI: 000183417200141OAI: oai:DiVA.org:kth-34998DiVA: diva2:424879
20th IEEE Instrumentation and Measurement Technology Conference VAIL, CO, MAY 20-22, 2003
QC 201106202011-06-202011-06-172011-11-08Bibliographically approved