hyperanalytic.m

四元数matlab工具包

function [h, o, e] = hyperanalytic(f, mu)
% HYPERANALYTIC Constructs the hyperanalytic signal of a complex vector f.
%               The second parameter is the quaternion axis used to compute
%               the hyperanalytic signal.  If omitted, a default is used.
%               The algorithm used depends on the axis: if this parameter
%               is a real quaternion, the algorithm is based on the
%               quaternion FFT, if it is a complex quaternion, the
%               algorithm is based on the biquaternion FFT. Note that mu is
%               not the axis used to compute the transform: this is chosen
%               arbitrarily perpendicular to mu. The results returned are h
%               (the hyperanalytic signal), o (an orthogonal signal), and e
%               (the complex envelope). The second and third results may be
%               omitted.
%
% Copyright