dsp-0.2.5.1: Haskell Digital Signal Processing

Copyright	(c) Matthew Donadio 2003
License	GPL
Maintainer	m.p.donadio@ieee.org
Stability	experimental
Portability	portable
Safe Haskell	Safe
Language	Haskell98

Numeric.Approximation.Chebyshev

Description

Function approximation using Chebyshev polynomials

 f(x) = ( sum (k=0..N-1) c_k * T_k(x) ) - 0.5 * c_0

over the interval [a,b]

Reference: NRiC

Synopsis

cheby_approx :: (Double -> Double) -> Double -> Double -> Int -> [Double]
cheby_eval :: [Double] -> Double -> Double -> Double -> Double

Documentation

cheby_approx Source #

Arguments

:: (Double -> Double)	f(x)
-> Double	a
-> Double	b
-> Int	N
-> [Double]	c_n

Calculates the Chebyshev approximation to f(x) over [a,b]

cheby_eval Source #

Arguments

:: [Double]	c_n
-> Double	a
-> Double	b
-> Double	x
-> Double	f(x)

Evaluates the Chebyshev approximation to f(x) over [a,b] at x