Noisy quantum amplitude estimation without noise estimation

Quantum Amplitude Amplification and Estimation

Consider a Boolean function χ : X → {0, 1} that partitions set X between its good and bad elements, where x is good if χ(x) = 1 and bad otherwise. Consider also a quantum algorithm A such that A|0〉 = ∑ x∈X αx|x〉 is a quantum superposition of the elements of X, and let a denote the probability that a good element is produced if A|0〉 is measured. If we repeat the process of running A, measuring t...

A Two-Step Noise Estimation Algorithm for Noisy Speech Enhancement

Noise estimation is an important part for noisy speech enhancement due to its momentous effect on the intelligibility and quality of the enhanced speech. In this paper, an effective noise estimation algorithm is presented by combining the minimum statistics estimation and Gaussian model assumption. In contrast to other methods, the proposed approach works in two steps. The noise power estimated...

Sampling, noise-reduction and amplitude estimation issues in surface electromyography.

This paper reviews data acquisition and signal processing issues relative to producing an amplitude estimate of surface EMG. The paper covers two principle areas. First, methods for reducing noise, artefact and interference in recorded EMG are described. Wherever possible noise should be reduced at the source via appropriate skin preparation, and the use of well designed active electrodes and s...

Amplitude balanced PEF estimation

Inverse theory teaches us that the residual, or misfit function, should be weighted by the inverse covariance matrix of the noise. Because the covariance operator is often difficult to estimate, we can approximate it with a diagonal weight that can be more easily computed. This paper investigates the possible choices of weighting functions for the data residual when prediction-error filters are...

State estimation in quantum homodyne tomography with noisy data