TY - GEN
T1 - An unbiased pisarenko harmonic decomposition estimator for single-tone frequency
AU - Lui, Kenneth W.K.
AU - So, H. C.
PY - 2007
Y1 - 2007
N2 - In this paper, closed-form frequency estimation of a single real tone in white noise is addressed. Based on the alternative derivation of Pisarenko's frequency estimate using the standard sample covariance of the noisy sinusoid with lags 1 and 2, we have devised novel sample covariance expressions, which are inspired from the modified covariance (MC) method, to achieve unbiased frequency estimation. The variance of the proposed Pisarenko harmonic decomposition (PHD) variant is also derived. Computer simulations are included to corroborate the theoretical development and to demonstrate its superiority over the MC and original PHD algorithms. © 2007 EURASIP.
AB - In this paper, closed-form frequency estimation of a single real tone in white noise is addressed. Based on the alternative derivation of Pisarenko's frequency estimate using the standard sample covariance of the noisy sinusoid with lags 1 and 2, we have devised novel sample covariance expressions, which are inspired from the modified covariance (MC) method, to achieve unbiased frequency estimation. The variance of the proposed Pisarenko harmonic decomposition (PHD) variant is also derived. Computer simulations are included to corroborate the theoretical development and to demonstrate its superiority over the MC and original PHD algorithms. © 2007 EURASIP.
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M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9788392134022
SP - 956
EP - 959
BT - European Signal Processing Conference
T2 - 15th European Signal Processing Conference, EUSIPCO 2007
Y2 - 3 September 2007 through 7 September 2007
ER -