Parameter Estimation of a Noisy Real Sinusoid Using Quartic Polynomial Approach

An analytical polynomial expression, for accurate and computationally efficient frequency estimation of a single real sinusoid under Additive White Gaussian Noise (AWGN), is derived proposed in this paper. The method, which can be easily adapted time estimation, based on transforming the problem as solution fourth order (quartic) expressed powers trigonometric function containing unknown frequency. coefficients quartic found using complex magnitudes three Discrete Fourier Transform (DFT) bins, centered at maximum magnitude value DFT coefficients. Simulated results illustrate that, performance estimator has mean squared-error (MSE) very close to Cramer Rao Lower Bound (CRLB) high signal-to-noise ratio (SNR) region, well previously published estimators low SNR region.