generalCosine function

Array generalCosine(int M, Array a, { bool sym = true, })

Generic weighted sum of cosine terms window

Parameters

• M : Number of points in the output window
• a : array_like Sequence of weighting coefficients. This uses the convention of being centered on the origin, so these will typically all be positive numbers, not alternating sign.
• sym : bool, optional When true (default), generates a symmetric window, for use in filter design. When false, generates a periodic window, for use in spectral analysis.

References

1. "Window function". https://en.wikipedia.org/wiki/Window_function#cite_note-28. Retrieved 2019-07-12.
2. "Hann (Hanning) window - MATLAB hann". https://www.mathworks.com/help/signal/ref/hann.html. Retrieved 2019-07-12.
3. "Window functions (scipy.signal.windows)". https://docs.scipy.org/doc/scipy/reference/signal.windows.html. Retrieved 2019-07-12.

Examples

// Create a Hann window:
// .. math::  w_n = 0.5\; \left[1 - \cos \left ( \frac{2 \pi n}{N} \right) \right]
import 'package:scidart/src/numdart/numdart.dart';
import 'package:scidart/scidart/signal/signal.dart';

var alpha = 0.5;
var M = 10;
var w = generalCosine(M, Array([alpha, 1.0 - alpha]));

Implementation

Array generalCosine(int M, Array a, {bool sym = true}) {
  if (_len_guards(M)) {
    return ones(M);
  }

  var ext = _extend(M, sym);
  var MExt = ext[0] as int;
  var needsTrunc = ext[1];

  var fac = linspace(-pi, pi, num: MExt);
  var w = zeros(MExt);
  for (var k = 0; k < a.length; k++) {
    w += arrayMultiplyToScalar(arrayCos(arrayMultiplyToScalar(fac, k)), a[k]);
  }

  return _truncate(w, needsTrunc);
}