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
