private RangeFunctor.RangeFunctor _translations; // translations functor used
public WTransform(RangeFunctor.RangeFunctor Scales, RangeFunctor.RangeFunctor Translations,
Wavelet.Wavelet MotherWavelet, string Name)
{
_name = Name;
_rows = Scales.Steps();
_cols = Translations.Steps();
// transform result cannot be empty
if (_rows <= 0 || _cols <= 0)
{
throw new ArgumentException("Invalid dimensions provided!");
}
// copy necessary objects
_scales = Scales;
_translations = Translations;
_wavelet = MotherWavelet;
// allocate storage
_re = new double[_rows * _cols];
_im = new double[_rows * _cols];
}
public static WTransform cwt(Signal s, RangeFunctor.RangeFunctor Scales,
RangeFunctor.RangeFunctor Translations, Wavelet.Wavelet MotherWavelet, int ivalp, string Name)
{
// Result
WTransform wt;
// references to internal Signal/WTransform data
double[] s_re, s_im;
double[] wt_re, wt_im;
// signal params
int n = s.length();
double fs = s.getFs();
// WT params
double a, b, T;
double i, istep;
// indexes and dimensions
int dx, dy;
int rows, cols;
int row, row_dx;
// check arguments
if (Scales.Steps() <= 0 || Translations.Steps() <= 0 || n <= 0 ||
fs <= 0.0 || ivalp <= 0)
{
throw new ArgumentException();
}
// create result object
wt = new WTransform(Scales, Translations, MotherWavelet, Name);
// obtain result dimensions and references to data
rows = wt.rows();
cols = wt.cols();
wt_re = wt.reData();
wt_im = wt.imData();
s_re = s.reData();
s_im = s.imData();
// index step (used in convolution stage)
istep = 1.0 / (double)ivalp;
// Scales
for (dy = 0; dy < rows; dy++)
{
// obtain current scale
a = Scales.Evaluate(dy) * fs;
if (Math.Abs(a) < 0.0)
{
a = Double.MinValue;
}
// set starting index of current row
row = dy * cols;
// Translations
for (dx = 0; dx < cols; dx++)
{
// obtain current translation
b = Translations.Evaluate(dx) * fs;
// index of convolution result
row_dx = row + dx;
// Perform convolution
wt_re[row_dx] = 0.0;
wt_im[row_dx] = 0.0;
for (i = 0.0; i < n; i += istep)
{
T = (i - b) / a;
wt_re[row_dx] += cmplxMulRe(s_re[(int)i], s_im[(int)i],
MotherWavelet.reT(T), -MotherWavelet.imT(T));
wt_im[row_dx] += cmplxMulRe(s_re[(int)i], s_im[(int)i],
MotherWavelet.reT(T), -MotherWavelet.imT(T));
// NOTE: "-" before Wavelet imaginary part indicates complex
// conjunction.
}
wt_re[row_dx] *= 1.0 / (Math.Sqrt(a) * ivalp);
wt_im[row_dx] *= 1.0 / (Math.Sqrt(a) * ivalp);
}
}
return(wt);
}
