hilbert1

Parameters

f:

real or complex valued scalar or vector

N:

The result will have length N

dim :

It analyses the input in this dimension

Description

h = hilbert1 (f) computes the extension of the real valued signal f to an analytic signal. If f is a matrix, the transformation is applied to each column. For N-D arrays, the transformation is applied to the first non-singleton dimension.

real (h) contains the original signal f. imag (h) contains the Hilbert transform of f.

hilbert1 (f, N) does the same using a length N Hilbert transform. The result will also have length N.

hilbert1 (f, [], dim) or hilbert1 (f, N, dim) does the same along dimension dim.

Examples

## notice that the imaginary signal is phase-shifted 90 degrees t=linspace(0,10,256); z = hilbert1(sin(2*pi*0.5*t)); grid on; plot(t,real(z),';real;',t,imag(z),';imag;');