We consider the problem of estimation of signal-to-noise ratio (SNR) with a real deterministic sinusoid with unknown frequency, phase and amplitude in additive Gaussian noise of unknown variance. The method of moments, a general method to derive estimators based on high-order moments, is used to derive a blind SNR estimator that does not require the knowledge of the instantaneous frequency of the sinusoid, through separate estimation of signal and noise power. Cramer-Rao lower bounds (CRLBs) are also derived for estimators of signal and noise power and then, for SNR estimators. We show through numerical simulations the statistical performances of the estimators, that we compare to the corresponding CRLBs, and discuss their use in practical applications.
Blind Signal-to-Noise Ratio Estimation of Real Sinusoid in Additive Noise
Romano Gianmarco
2019
Abstract
We consider the problem of estimation of signal-to-noise ratio (SNR) with a real deterministic sinusoid with unknown frequency, phase and amplitude in additive Gaussian noise of unknown variance. The method of moments, a general method to derive estimators based on high-order moments, is used to derive a blind SNR estimator that does not require the knowledge of the instantaneous frequency of the sinusoid, through separate estimation of signal and noise power. Cramer-Rao lower bounds (CRLBs) are also derived for estimators of signal and noise power and then, for SNR estimators. We show through numerical simulations the statistical performances of the estimators, that we compare to the corresponding CRLBs, and discuss their use in practical applications.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
