Proof of Hermitian Self-Adjoint Product Identity for Equidistant Time-Domain Measurements by@interpolation
Proof of Hermitian Self-Adjoint Product Identity for Equidistant Time-Domain Measurements
by The Interpolation PublicationMarch 10th, 2024
Too Long; Didn't Read
The paper investigates the optimization of optical interpolation and the hermitian self-adjoint product identity in NFFT matrices for equidistant and non-equidistant time-domain measurements. It explores complexities in equidistant time-domain measurements and presents a proof of identity, shedding light on critical aspects of scientific research.
Authors:
(1) Michael Sorochan Armstrong, Computational Data Science (CoDaS) Lab in the Department of Signal Theory, Telematics, and Communications at the University of Granada;
(2) Jose Carlos P´erez-Gir´on, part of the Interuniversity Institute for Research on the Earth System in Andalucia through the University of Granada;
(3) Jos´e Camacho, Computational Data Science (CoDaS) Lab in the Department of Signal Theory, Telematics, and Communications at the University of Granada;
(4) Regino Zamora, part of the Interuniversity Institute for Research on the Earth System in Andalucia through the University of Granada.
Table of Links
Optimization of the Optical Interpolation
Appendix B: AAH ̸= MIN I in the Non-Equidistant Case
APPENDIX A: PROOF OF HERMITIAN SELF-ADJOINT PRODUCT IDENTITY FOR EQUIDISTANT TIME-DOMAIN MEASUREMENTS
Consider the case of an NFFT matrix and its hermitian, where:
Equation 44 simplifies to:
This paper is available on arxiv under CC 4.0 license.
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