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...

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...

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

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

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

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

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

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

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

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

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...

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

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

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

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...

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

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

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

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...

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

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

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

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...

to Bark scale at Wikimedia Commons Smith and Abel – Bark and ERB Bilinear Transforms (1999) Archived 2008-03-25 at the Wayback Machine Auditory scales...

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...

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...

(10 May 2007). "Equivalent Rectangular Bandwidth". Bark and ERB Bilinear Transforms. Center for Computer Research in Music and Acoustics (CCRMA), Stanford...

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

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