 | dsp-0.1: Haskell Digital Signal Processing | Contents | Index |
| Numeric.Approximation.Chebyshev |
|
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
| cheby_approx :: (Double -> Double) -> Double -> Double -> Int -> [Double] |
| cheby_eval :: [Double] -> Double -> Double -> Double -> Double |
| :: (Double -> Double) | f(x) |
| -> Double | a |
| -> Double | b |
| -> Int | N |
| -> [Double] | c_n |
| Calculates the Chebyshev approximation to f(x) over [a,b] | |
| :: [Double] | c_n |
| -> Double | a |
| -> Double | b |
| -> Double | x |
| -> Double | f(x) |
| Evaluates the Chebyshev approximation to f(x) over [a,b] at x | |