The discrete Fourier transform is one of the top ten algorithms of the 20-th century, frequently used in the analysis of signals. It is known to be very stable and of low computational complexity. When the bandwidth is large or the spectrum is sparse, sampling at the Shannon-Nyquist rate may however be prohibitive. We propose a new hybrid technique that exploits the spectral sparsity. Several s...

An analysis of a novel indentation model has been implemented to obtain master curves describing the optimal experimental parameters necessary to achieve the highest possible accuracy in the determination of viscoelastic properties of soft materials. The indentation model is a rigid indenter driven by a compliant measurement system, such as an atomic force microscope or optical tweezers, into a...

Audio spatialization is a rapidly growing field in acoustics and audio signal processing. Measurements and models of head-related impulse responses (HRIRs) of human subjects or KEMAR dummy heads are the primary source of information for research on spatial audio. The information contained in HRIRs measured at various azimuth and elevation angles is sufficient for synthesizing realistic three di...

In data analysis and signal processing, the recovery of structured functions from given sampling values is a fundamental problem. Many methods generalized Prony method have been developed to solve this problem; however, current research mainly deals with represented in sparse expansions using single generating function. paper, we generalize expansion problem for two functions, so that more type...

In this paper, the application of the Prony method for the estimation of dominant inter-area oscillations modes in large power systems is presented. The main goal of this paper is to compare the dominant oscillations modes extracted by the Prony method with those obtained by Eigen-value analysis. In order to achieve that, two testing systems have been designed. The first system is a multimachin...

In this paper the Harmonic features based on the harmonic decomposition of the Hildebrand { Prony line spectrum are introduced. A Hildebrand { Prony method of spectral analysis was applied because of its high resolution and accuracy. Comparative tests with the LP and LP { cepstral features were made with 50 speakers from the Slovene database SNABI (isolated words corpus) and 50 speakers of the ...

Prony type methods are used in many engineering applications to determine the exponential fit corresponding to a dataset. In this paper we study a variant of Prony’s method that was used by Martı́n-Landrove et al., in a process of segmentation of T2-weighted MRI brain images. We show the equivalence between that method and the classical Prony method and study the stability of the computed soluti...

Multiexponential transient signals are particularly important due to their occurrences in many natural phenomena and human applications. For instance, it is important in the study of nuclear magnetic resonance (NMR) in medical diagnosis (Cohn-Sfetcu et al., 1975)), relaxation kinetics of cooperative conformational changes in biopolymers (Provencher, 1976), solving system identification problems...