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This paper presents a novel means of computing the greatest common divisor (GCD) of two polynomials with real-valued coefficients that have been perturbed by noise. The method involves the QR-factorization of a near-to-Toeplitz matrix derived from the Sylvester matrix of the two polynomials. It turns out that the GCD to within a constant factor is contained… (More)
This correspondence presents an improvement to Demho's lower bound on the smallest eigenvalue of a Hermitian positive-definite matrix. Unlike Dembo's bound the improved hound is always positive.
We consider the samples of a pure tone in additive white Gaussian noise (AWGN) for which we wish to determine the signal-to-noise ratio (SNR) defined here to be = ( 2 ), where is the tone amplitude, and is the noise variance. and are assumed to be deterministic but unknown a priori. If the variance of an unbiased estimator of is , we show that at high SNR,… (More)