Robust Frequency Estimation Using Elemental Sets

Robust Frequency Estimation Using Elemental Sets∗

The extraction of sinusoidal signals from time-series data is a classic problem of ongoing interest in the statistics and signal processing literatures. Obtaining least squares estimates is difficult because the sum of squares has local minima O(1/n) apart in the frequencies. In practice the frequencies are often estimated using ad hoc and inefficient methods. Problems of data quality have rece...

Robust Estimation of Fundamental Frequency Using Single Frequency Filtering Approach

A new method for robust estimation of fundamental frequency (F0) from speech signal is proposed in this paper. The method exploits the high SNR regions of speech in time and frequency domains in the outputs of single frequency filtering (SFF) of speech signal. The high resolution in the frequency domain brings out the harmonic characteristics of speech clearly. The harmonic spacing in the high ...

Robust fundamental frequency estimation using instantaneous frequencies of harmonic components

This paper proposes a noise-tolerant method for fundamental frequency (F0) extraction. This method includes several new ideas, including the estimation of the instantaneous frequencies of the higher harmonic components, and the design of an adaptive weighting function based on a bandwidth equation that combines the F0 information in the harmonic components. To evaluate the proposed method, we c...

Minimum volume semialgebraic sets for robust estimation

Motivated by problems of uncertainty propagation and robust estimation we are interested in computing a polynomial sublevel set of fixed degree and minimum volume that contains a given semialgebraic set K. At this level of generality this problem is not tractable, even though it becomes convex e.g. when restricted to nonnegative homogeneous polynomials. Our contribution is to describe and justi...

Robust Motion Estimation Using Spatialgabor