View source for Time scale discrete Fourier transform

Let $\mathbb{T}=\{t_0,t_1,\ldots,t_n\}$ be a finite time scale and let $z_n$ be a [[frequency root]] of $\mathbb{T}$. The time scale discrete Fourier transform at $z_k$ is defined by
$$\mathrm{DFT}\{f\}(z_k)=\displaystyle\sum_{k=0}^{N-1} x(t_k) \overline{e_{z_n}(t_k)} \mu(t_k),$$
where $e_{z_n}$ denotes the [[delta exponential]].

=References=
*{{PaperReference|Time Scale Discrete Fourier Transforms|2010|John M. Davis|author2=Ian A. Gravagne|author3=Robert J. Marks II|prev=findme|next=findme}}: $(11)$