marytts.util.math

Class Hilbert

java.lang.Object

marytts.util.math.Hilbert

public class Hilbert
extends Object

Computes the N-point Discrete Hilbert Transform of real valued vector x: The algorithm consists of the following stages: - X(w) = FFT(x) is computed - H(w), DFT of a Hilbert transform filter h[n], is created: H[0]=H[N/2]=1 H[w]=2 for w=1,2,...,N/2-1 H[w]=0 for w=N/2+1,...,N-1 - x[n] and h[n] are convolved (i.e. X(w) and H(w) multiplied) - y[n], the Discrete Hilbert Transform of x[n] is computed by y[n]=IFFT(X(w)H(w)) for n=0,...,N-1

Author:

Oytun Türk

Constructor Summary

Constructors

Constructor and Description
Hilbert()

Method Summary

Modifier and Type	Method and Description
static ComplexArray	transform(double[] x)
static ComplexArray	transform(double[] x, int N)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Hilbert

public Hilbert()

Method Detail

transform

public static ComplexArray transform(double[] x)

transform

public static ComplexArray transform(double[] x,
                                     int N)