Difference between revisions of "Frequency roots"

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(Created page with "Let $\mathbb{T}=\{t_0,t_1,\ldots,t_n\}$ be a finite time scale. The roots of the following polynomial are called the frequency roots of $\mathbb{T}$: $$\mu(t_0) + \display...")
 
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=Properties=
 
=Properties=
 +
[[Frequency roots in integers]]<br />
 +
[[Frequency roots in harmonic numbers]]<br />
 +
[[Frequency roots in quantum time scale, q>1]]<br />
 +
[[Frequency roots in quantum time scale, q<1]]<br />
 +
 +
=See also=
 +
[[Time scale discrete Fourier transform]]<br />
  
 
=References=
 
=References=

Revision as of 03:45, 26 February 2018

Let $\mathbb{T}=\{t_0,t_1,\ldots,t_n\}$ be a finite time scale. The roots of the following polynomial are called the frequency roots of $\mathbb{T}$: $$\mu(t_0) + \displaystyle\sum_{k=1}^{N-1} \mu(t_k) \displaystyle\prod_{m=0}^{k-1} (1+z\mu(t_m)).$$

Properties

Frequency roots in integers
Frequency roots in harmonic numbers
[[Frequency roots in quantum time scale, q>1]]
[[Frequency roots in quantum time scale, q<1]]

See also

Time scale discrete Fourier transform

References