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REMEZ ALGORITHM

Remez algorithm

Algorithm to approximate functions

The Remez algorithm or Remez exchange algorithm, published by Evgeny Yakovlevich Remez in 1934, is an iterative algorithm used to find simple approximations

Remez algorithm

Remez_algorithm

Approximation theory

Theory of getting acceptably close inexact mathematical calculations

Clenshaw–Curtis quadrature, a numerical integration technique. The Remez algorithm (sometimes spelled Remes) is used to produce an optimal polynomial

Approximation theory

Approximation_theory

Division algorithm

Method for division with remainder

fit of degree larger than 2, computing the coefficients using the Remez algorithm. The trade-off is that the initial guess requires more computational

Division algorithm

Division_algorithm

Evgeny Yakovlevich Remez

Soviet mathematician

in the constructive function theory, in particular, for the Remez algorithm and the Remez inequality. His doctoral students include Boris Korenblum. Cheney

Evgeny Yakovlevich Remez

Evgeny_Yakovlevich_Remez

Minimax approximation algorithm

Mathematical method that minimizes maximum error

the minimax polynomial. One popular minimax approximation algorithm is the Remez algorithm. Muller, Jean-Michel; Brisebarre, Nicolas; de Dinechin, Florent;

Minimax approximation algorithm

Minimax_approximation_algorithm

Remez

Surname list

scientist, theoretician and teacher Remez algorithm Remez inequality This page lists people with the surname Remez. If an internal link intending to refer

Remez

Parks–McClellan filter design algorithm

Signal processing method

approximation. The Parks–McClellan algorithm is a variation of the Remez exchange algorithm, with the change that it is specifically designed for FIR filters

Parks–McClellan filter design algorithm

Parks–McClellan_filter_design_algorithm

Equioscillation theorem

Theorem

-1 or +1. Several minimax approximation algorithms are available, the most common being the Remez algorithm. Golomb, Michael (1962). Lectures on Theory

Equioscillation theorem

Equioscillation_theorem

Filter design

Signal processing design process

design than IIR filters - the Parks-McClellan filter design algorithm (based on the Remez algorithm) is one suitable method for designing quite good filters

Filter design

Filter_design

List of numerical analysis topics

Bernstein's constant — error when approximating |x| by a polynomial Remez algorithm — for constructing the best polynomial approximation in the L∞-norm

List of numerical analysis topics

List_of_numerical_analysis_topics

C mathematical functions

C standard library header file

CRlibm (correctly rounded libm), and its successor MetaLibm, which uses Remez algorithm to automatically generate approximations that are formally proven.

C mathematical functions

C_mathematical_functions

Charles-Jean de La Vallée Poussin

Belgian mathematician (1866–1962)

variable réelle Paris, Gauthier-Villars, 1919, 1952 Poussin proof Remez algorithm La Vallée-Poussin "Prix Poncelet". Comptes Rendus Hebdomadaires des

Charles-Jean de La Vallée Poussin

Charles-Jean_de_La_Vallée_Poussin

List of polynomial topics

algorithm (for polynomial factorization) Lindsey–Fox algorithm Remez algorithm (to find best approximating polynomials) Schönhage–Strassen algorithm Polynomial

List of polynomial topics

List_of_polynomial_topics

Sample-rate conversion

Changing the sampling rate of a discrete signal

interpolation in method 2. In method 1, a slow pre-computation (such as the Remez algorithm) can be used to obtain an optimal (per application requirements) filter

Sample-rate conversion

Sample-rate_conversion

Math library

usually a Taylor polynomial or a Chebyshev polynomial derived by the Remez algorithm (having the benefit of an improved error bound), but the pre-processing

Math library

Math_library

Finite impulse response

Type of filter in signal processing

(also known as the equiripple, optimal, or minimax method). The Remez exchange algorithm is commonly used to find an optimal equiripple set of coefficients

Finite impulse response

Finite_impulse_response

Additive synthesis

Sound synthesis technique

Bibcode:1951PNAS...37..318C. doi:10.1073/pnas.37.5.318. PMC 1063363. PMID 14834156. Remez, R.E.; Rubin, P.E.; Pisoni, D.B.; Carrell, T.D. (1981). "Speech perception

Additive synthesis

Additive_synthesis

Foundation model

Artificial intelligence model paradigm

April 2022, retrieved 13 June 2022 Copet, Jade; Kreuk, Felix; Gat, Itai; Remez, Tal; Kant, David; Synnaeve, Gabriel; Adi, Yossi; Défossez, Alexandre (7

Foundation model

Foundation_model

Pattern playback

Early talking device

The pattern playback was last used in an experimental study by Robert Remez in 1976. The pattern playback now resides in the Museum at Haskins Laboratories

Pattern playback

Pattern_playback

Shai Cohen

Israeli composer, researcher, and educator (born 1968)

(2021) for French Horn and Live electronics. Selected for ISCM WNMD, China. "Remez" (2021) for Trombone and Piano. Winner of the V International Contest of

Shai Cohen

Shai_Cohen

Oversampled binary image sensor

International Solid-State Circuits Conference, Feb. 2009, pp.40-41. Litany, Or; Remez, Tal; Bronstein, Alex (2015-12-06). "Image reconstruction from dense binary

Oversampled binary image sensor

Oversampled_binary_image_sensor

Speech synthesis

Artificial production of human speech

nitech.ac.j. Archived from the original on 2012-02-13. Retrieved 2012-02-22. Remez, R.; Rubin, P.; Pisoni, D.; Carrell, T. (22 May 1981). "Speech perception

Speech synthesis

Speech_synthesis

List of Jewish mathematicians

physics Robert Remak (1888–1942), algebra and mathematical economics Evgeny Remez (1895–1975), constructive function theory Alfréd Rényi (1921–1970), combinatorics

List of Jewish mathematicians

List_of_Jewish_mathematicians