Work

A fast alternating projection method for complex frequency estimation

Year: 2011

Type: preprint

Abstract: The problem of approximating a sampled function using sums of a fixed number of complex exponentials is considered. We use alternating projections between fixed rank matrices and Hankel matrices to obtain such an approximation. Convergence, convergence rates and error estimates for this technique are proven, and fast algorithms are developed. We compare the numerical results obtain with the MUSIC and ESPRIT methods.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1107.2028

Authors: Andersson, Fredrik, Carlsson, Marcus, Ivert, Per-Anders

Institutions: Lund University, Universidad de Santiago de Chile

Language: English

Topic: Sparse and Compressive Sensing Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Swedish Foundation for International Cooperation in Research and Higher Education, Vetenskapsrådet

OpenAlex ID: W1641275941

Cites: 26

Cited by: 5

Related to: 20