The bilinear transform (also known as Tustin's method, after Arnold Tustin) is used in digital signal processing and discrete-time control theory to transform...

domain, through the use of certain mathematical techniques such as the bilinear transform, impulse invariance, or pole–zero matching method. Thus digital IIR...

designing digital filters is to take analog designs, subject them to a bilinear transform which maps them from the s-domain to the z-domain, and then produce...

Bilinear transformation may refer to: Bilinear map or bilinear operator Bilinear transform (signal processing), a type of conformal map used to switch...

to a Möbius transformation on the Riemann sphere and vice versa. Bilinear transform Conformal geometry Fuchsian group Generalised circle Hyperbolic geometry...

Look up bilinear in Wiktionary, the free dictionary. Bilinear may refer to: Bilinear sampling (also called "bilinear filtering"), a method in computer...

Karhunen–Loève transform Affine transformation (Euclidean geometry) Bäcklund transform Bilinear transform Box–Muller transform Burrows–Wheeler transform (data...

discontinuity, which is why ignoring it is often safe. Bilinear transform Matched Z-transform method Jackson, L.B. (1 October 2000). "A correction to...

z\rightarrow -1} in much the same manner as with the bilinear transform (BLT). While this transform preserves stability and minimum phase, it preserves...

the Hilbert transform, such as the bilinear and trilinear Hilbert transforms are still active areas of research today. The Hilbert transform is a multiplier...

Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). A Fourier transform converts...

adjustment of the frequency response. Bilinear transform Discrete Fourier transform Discrete-time Fourier transform Filter design Goertzel algorithm Least-squares...

is (A+iI) dom A. See self-adjoint operator for further details. Bilinear transform Extensions of symmetric operators Robert Everist Green & Steven G...

known as the bilinear transform, or Tustin transform. Each of these approximations has different stability properties. The bilinear transform preserves the...

defines a bilinear form B : X × X → F, with the relation B(x, y) = u(x)(y). By defining the transpose of this bilinear form as the bilinear form tB defined...

Butterworth and other filters are often based on the bilinear transform method or the matched Z-transform method, two different methods to discretize an analog...

A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies...

smooth edges. A common application of this can be found in pixel art. Bilinear interpolation works by interpolating pixel color values, introducing a...

quadratic nature of the transforms creates cross-terms, also called "interferences". The cross-terms caused by the bilinear structure of TFDs and TFRs...

analogous results for the bilinear Kakeya problem which is based upon the X-ray transform instead of the Fourier transform.[TVV98] In 2003, Tao adapted...

the group delay at ω = 0 {\displaystyle \omega =0} . Although the bilinear transform is used to convert continuous-time (analog) filters to discrete-time...

Unified School District Tustin's method, an alternate name for the bilinear transform, a digital-control approximation This disambiguation page lists articles...

design and to implement and exploit nonlinear dynamics. Bessel filter Bilinear transform Butterworth filter Chebyshev filter Electronic filter Elliptical filter...

recursive form via the bilinear transform. However, as digital filters have a finite bandwidth, the response shape of the transformed Chebyshev is warped...

field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure consisting of a set...

Wiener filter Transforms Advanced Z-transform Bilinear transform Continuous Fourier transform Discrete cosine transform Discrete Fourier transform, Fast Fourier...

generally, Young's inequality implies that the convolution is a continuous bilinear map between suitable Lp spaces. Specifically, if 1 ≤ p, q, r ≤ ∞ satisfy:...

control system that produces finite outputs for any finite input. bilinear transform A mathematical technique to obtain the parameters for a digital filter...

preserve bilinear forms of various signature. First equation in (D3) can be written more compactly as: where (·, ·) refers to the bilinear form of signature...

matrix of the bilinear form on the new basis is P T B P . {\displaystyle P^{\mathsf {T}}\mathbf {B} P.} A symmetric bilinear form is a bilinear form B such...