Search results
Results from the WOW.Com Content Network
Often this is an isosceles triangle of height 1 and base 2 in which case it is referred to as the triangular function. Triangular functions are useful in signal processing and communication systems engineering as representations of idealized signals, and the triangular function specifically as an integral transform kernel function from which ...
For example, applying a YΔ-transformation to a 3-vertex of a planar graph, or a ΔY-transformation to a triangular face of a planar graph, results again in a planar graph. [1] This was used in the original proof of Steinitz's theorem, showing that every 3-connected planar graph is the edge graph of a polyhedron.
The Y-Δ transform is known by a variety of other names, mostly based upon the two shapes involved, listed in either order. The Y , spelled out as wye , can also be called T or star ; the Δ , spelled out as delta , can also be called triangle , Π (spelled out as pi ), or mesh .
The triangular window is the 2nd-order B-spline window. The L = N form can be seen as the convolution of two N ⁄ 2-width rectangular windows. The Fourier transform of the result is the squared values of the transform of the half-width rectangular window.
Animation of the additive synthesis of a triangle wave with an increasing number of harmonics. See Fourier Analysis for a mathematical description.. It is possible to approximate a triangle wave with additive synthesis by summing odd harmonics of the fundamental while multiplying every other odd harmonic by −1 (or, equivalently, changing its phase by π) and multiplying the amplitude of the ...
Plot of normalized function (i.e. ()) with its spectral frequency components.. The unitary Fourier transforms of the rectangular function are [2] = = (), using ordinary frequency f, where is the normalized form [10] of the sinc function and = (/) / = (/), using angular frequency , where is the unnormalized form of the sinc function.
An atomic (upper or lower) triangular matrix is a special form of unitriangular matrix, ... a Gauss matrix, or a Gauss transformation matrix. Block triangular matrix
The integral wavelet transform is the integral transform defined as ... Daubechies wavelet, triangular wavelet. Fault detection in electrical power systems. ...