The recovery of signal parameters from noisy sampled data is an essential problem in digital signal processing. In this paper, we discuss the numerical solution of the following parameter estimation problem. Let h0 be a multivariate exponential sum, i.e., h0 is a finite linear combination of complex exponentials with distinct frequency vectors. Determine all parameters of h0, i.e., all frequenc...

This paper reformulates, generalizes and investigates the stability of the modified Prony algorithm introduced by Osborne (1975), with special reference to rational and exponential fitting. The algorithm, originally for exponential functions, is generalized to the least squares fitting of any function which satisfies a linear homogeneous difference equation. Using the difference equation formul...

High amounts of hydrogen are emitted in the serpentinite-hosted hydrothermal field of the Prony Bay (PHF, New Caledonia), where high-pH (~11), low-temperature (< 40°C), and low-salinity fluids are discharged in both intertidal and shallow submarine environments. In this study, we investigated the diversity and distribution of potentially hydrogen-producing bacteria in Prony hyperalkaline spring...

In α-μ fading environment utilizing Quadrature Amplitude Modulation (QAM) schemes, the Average Symbol Error Rate (ASER) is analyzed for a Single Input And Output (SISO) communication system. QAM schemes enhance bandwidth efficiency 5G and beyond wireless transmission systems. The closed-form expressions ASER of Hexagonal (HQAM), Cross (XQAM), Square (SQAM), as well Rectangular (RQAM) are presen...

The mechanical behavior of viscoelastic materials is influenced, among other factors, by parameters like time and temperature. The present paper proposes a methodology for a thermorheologically and piezorheologically simple characterization of viscoelastic materials in the time domain based on experimental data using Prony Series and a mixed optimization technique based on Genetic Algorithms an...

A new processing method, which we developed for the guided waves generated during acoustic logging, accurately estimates the wavenumber when only a few seismograms are available or when the seismograms are irregularly spaced. The estimates of the attenuation coefficient are seemingly accurate when many seismograms are available but are inaccurate when only a few seismograms are available. The n...