Maximal values for the simultaneous number of null components of a vector and its Fourier transform

Authors

  • Alberto Debernardi Pinos Centre de Recerca Matemàtica (CRM)

Keywords:

Uncertainty principle, Fourier matrix, Fourier submatrix, DFT

Abstract

Motivated by the uncertainty principle, the purpose of this work is to find the maximal value of simultaneous number of null components of a vector and its discrete Fourier transform. In other words if we denote W and Z the number of null components of a vector x and its Fourier transform, respectively, the uncertainty principle ensures that W and Z are inversely proportional. We study the best possible balance between those two numbers.

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Author Biography

Alberto Debernardi Pinos, Centre de Recerca Matemàtica (CRM)

PhD. student at Harmonic Analysis and Approximation Theory group of Centre de Recerca Matemàtica (CRM).

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Published

2016-04-19

How to Cite

Pinos, A. D. (2016). Maximal values for the simultaneous number of null components of a vector and its Fourier transform. Reports@SCM, 2(1), 1–10. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/136568

Issue

Vol. 2 No. 1 (2016)

Section

Articles

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