a DFT matrix is an expression of a discrete Fourier transform (DFT) as a transformation matrix, which can be applied to a signal through matrix multiplication...

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...

\\v_{n-1}\end{bmatrix}}.} The matrix for this transformation is called the DFT matrix. Similarly, the matrix notation for the inverse Fourier transform...

discrete Fourier transform is defined by a specific Vandermonde matrix, the DFT matrix, where the x i {\displaystyle x_{i}} are chosen to be nth roots...

factorizing the DFT matrix into a product of sparse (mostly zero) factors. As a result, it manages to reduce the complexity of computing the DFT from O ( n...

older references books. It can be seen that the transformation matrix A above is a DFT matrix, and as such, symmetrical components can be calculated for any...

{\displaystyle {\mathcal {F}}} ⁠ be the Discrete Fourier Transform (DFT) matrix; then C = F ⋅ Σ ⋅ F ∗ , C + = F ⋅ Σ + ⋅ F ∗ . {\displaystyle...

algorithm that computes the discrete Fourier transform (DFT) of prime sizes by re-expressing the DFT as a cyclic convolution (the other algorithm for FFTs...

are coefficients of a discrete Fourier transform (DFT) matrix. Each row or column of the DFT matrix provides an orthogonal CI spreading code which spreads...

discrete Fourier transform (DFT) of an arbitrary composite size N = N 1 N 2 {\displaystyle N=N_{1}N_{2}} in terms of N1 smaller DFTs of sizes N2, recursively...