Revision as of 23:13, 21 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div> {{Alert-warning|This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion. }}Establish the following formulae, <math display="block"> F_{ix}F_{iy}=F_{i,x+y}\quad,\quad \overline{F}_{ix}=F_{i,-x}\quad,\quad \sum_xF_{ix}=N\delta_{i0} </math> valid for any generalized Fourier matrix, <math>...")
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Apr 22'25

Exercise

[math] \newcommand{\mathds}{\mathbb}[/math]

This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion.

Establish the following formulae,

[[math]] F_{ix}F_{iy}=F_{i,x+y}\quad,\quad \overline{F}_{ix}=F_{i,-x}\quad,\quad \sum_xF_{ix}=N\delta_{i0} [[/math]]

valid for any generalized Fourier matrix, [math]F=F_G[/math].