Exploring Advanced Time-Domain Measurement Techniques

Written by interpolation | Published 2024/03/10
Tech Story Tags: digital-processing | remote-monitoring | non-uniformity-correction | remote-sensor-data | irregularly-sampled-data | least-squares-optimization | optimal-interpolation | non-equidistant-time-series

TLDR 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.via the TL;DR App

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

Abstract & Introduction

Optimization of the Optical Interpolation

Materials and Methods

Results and Discussion

Conclusion

Appendix A: Proof of Hermitian Self-Adjoint product identity for Equidistant Time-Domain Measurements

Appendix B: AAH ̸= MIN I in the Non-Equidistant Case

Acknowledgments & References

since it is obvious that when θ = 0, the only possible evaluation for z is 1, consider only when θ ̸= 0, which we can write as:

to evaluate for z for some constant integer θ, consider the finite geometric series:

This paper is available on arxiv under CC 4.0 license.


Written by interpolation | #1 Publication focused exclusively on Interpolation, ie determining value from the existing values in a given data set.
Published by HackerNoon on 2024/03/10