.Wavelet.Transform.cwtn

Information

This function carries out one-dimensional CWT transform, same as the function, cwt(). The only difference is that cwtn() receives the wavelet name as input.

Refer to the section of wavelet Families for the detailed information about the available wavelets.

The default input values provide a quick example with a simple saw-tooth signal.

Interface

function cwtn
  input Real[:] u = {1.0000, 1.0000, 0.9999, 0.9996, 0.9987, 0.9968, 0.9933, 0.9877, 0.9790, 0.9665, 0.9491, 0.9257, 0.8954, 0.8568, 0.8091, 0.7510, 0.6818, 0.6008, 0.5075, 0.4020, 0.2847, 0.1566, 0.0194, -0.1245, -0.2720, -0.4192, -0.5614, -0.6932, -0.8089, -0.9022, -0.9672, -0.9981, -0.9901, -0.9397, -0.8452, -0.7074, -0.5297, -0.3186, -0.0837, 0.1623, 0.4043, 0.6256, 0.8087, 0.9371, 0.9970, 0.9785, 0.8779, 0.6985, 0.4518, 0.1572, -0.1588, -0.4646, -0.7266, -0.9127, -0.9970, -0.9634, -0.8096, -0.5491, -0.2111, 0.1616, 0.5174, 0.8026, 0.9702, 0.9879, 0.8457, 0.5600, 0.1736, -0.2491, -0.6323, -0.9017, -1.0000, -0.9003, -0.6148, -0.1960, 0.2705, 0.6827, 0.9443, 0.9880, 0.7949, 0.4037, -0.0939, -0.5730, -0.9055, -0.9959, -0.8104, -0.3923, 0.1445, 0.6439, 0.9522, 0.9671, 0.6743, 0.1591, -0.4140, -0.8520, -0.9988, -0.7935, -0.2997, 0.3091, 0.8072, 1.0000} "Signal to be analyzed" annotation(
    Dialog(group = "Input data"));
  input Real[:] scales = {1, 4, 16} "Scales for the transformation" annotation(
    Dialog(group = "Input data"));
  input Records.wavletDefinition wIn "Wavelet definition" annotation(
    Dialog(group = "Input data"));
  output Real[size(scales, 1), size(u, 1)] coefs "A two dimensional matrix of wavelet coefficients. 
    Each column corresponds to one element of the input parameter, scales.";
end cwtn;