| Paper: | SPTM-L4.3 | ||
| Session: | Frequency Estimation | ||
| Time: | Wednesday, May 17, 10:40 - 11:00 | ||
| Presentation: | Lecture | ||
| Topic: | Signal Processing Theory and Methods: Detection, Estimation, Classification Theory and Applications | ||
| Title: | Cramer-Rao Lower Bound for Harmonic and Subharmonic Estimation | ||
| Authors: | Zhili Chen, Behrouz Nowrouzian, University of Alberta, Canada; Christopher Zarowski, NanoDotTek, Canada | ||
| Abstract: | Recently, Zarowski and Kmpyvnytskyy developed a modified iterative cosinor algorithm (MICA) for the estimation of the parameters of sinusoidal signals with harmonics and subharmonics contaminated by AWGN, and derived the Cramer-Rao Lower Bound (CRLB) for fundamental frequency component of such signals. However, it was assumed that the noise variance is known a priori. This paper presents the derivation of a new CRLB for the case that the noise variance is unknown. The derivations also include the CRLBs for the estimation of harmonic and subharmonic amplitudes, noise variance as well as the SNR of the contaminated signal. Numerical simulations are given to verify and interpret the derived CRLBs, together with the evaluation of estimation performance. | ||
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