This paper focuses on performance bounds for estimating the frequency and the phase of a received signal when the complex amplitude of the signal is nonconstant and unknown. Receivers need to perform such an estimation in many application fi elds, including digital communications, direction-of-arrival estimation, and Doppler radar. While in digital communications the nonconstant complex-signal ...

The error reduction of the non-parametric amplitude estimation of the periodic signals with the three-point interpolated discrete Fourier transform (DFT) using cosine windows is presented. The paper analyzes and compares the systematic bias errors and the noise error behavior of the amplitude estimation changing the order of Rife-Vincent windows class I (RV1), which are designed for maximizatio...

Typical EMG amplitude estimators use a fixed window length for smoothing the amplitude estimate. When the EMG amplitude is dynamic, varying the smoothing length as a function of time can produce a higher quality amplitude estimate. This paper develops and investigates (in simulation and experimentally) a new technique for adaptive window length estimation. The simulations suggest that the "best...

A speech enhancement system which utilizes an optimal (in the minimum mean square error sense) short-time spectral amplitude estimetor is described. The derivation of the optimal estimator is based on modeling speech es a quasi-periodic signal, and on applying spectral decomposition. The optimal spectral amplitude estimator and a recently developed vector spectral subtraction amplitude estimato...

We present mathematical and conceptual foundations for the task of robust amplitude estimation using engineered likelihood functions (ELFs), a framework introduced by Wang et al. [PRX Quantum 2, 010346 (2021)] that uses Bayesian inference to enhance rate information gain in quantum sampling. These ELFs, which are obtained choosing tunable parameters parametrized circuit minimize expected poster...