A non-iterative approach to frequency estimation of a complex exponential in noise by interpolation of fourier coefficients

In this paper a novel algorithm is presented for frequency estimation of a complex exponential by interpolating Fourier coefficients in a non-iterative way by shifting the minimum variance and using a non-linear function. The estimator presented is unbiased and normally distributed with asymptotic variance that is π⁴/96 ≈ 1.0147 of the Cramer Rao-Bound and is optimally uniform over the entire range while requiring calculation of the fewest Fourier coefficients.