# Difference between revisions of "Frequency roots"

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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 $\mathbb{T}$: | 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 $\mathbb{T}$: | ||

− | $$\mu(t_0) + \displaystyle\sum_{k=1}^{ | + | $$\mu(t_0) + \displaystyle\sum_{k=1}^{n-1} \mu(t_k) \displaystyle\prod_{m=0}^{k-1} (1+z\mu(t_m)).$$ |

=Properties= | =Properties= |

## Latest revision as of 00:41, 14 March 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

# See also

Time scale discrete Fourier transform