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Diffstat (limited to 'macros/shanwavf.sci')
| -rw-r--r-- | macros/shanwavf.sci | 39 |
1 files changed, 20 insertions, 19 deletions
diff --git a/macros/shanwavf.sci b/macros/shanwavf.sci index e088f60..3f4da44 100644 --- a/macros/shanwavf.sci +++ b/macros/shanwavf.sci @@ -1,23 +1,24 @@ -/*Description - Compute the Complex Shannon wavelet. - The complex Shannon wavelet is defined by a bandwidth parameter fb, a wavelet center frequency fc, and the expression - psi(x) = f * b^{1/2}sinc(fb . x) e^{2 pi i f c x} - on an n-point regular grid in the interval of lb to ub. -Calling Sequence - [psi, x]= shanwavf(lb, ub, n, fb, fc) -Input Parameters - lb, ub (Real valued scalers) : Interval endpoints lb ≤ ub, specified as a pair of real-valued scalars. - n (Real valued integer strictly positive)` : Number of regularly spaced points in the interval [lb,ub], specified as a positive integer. - fb : Time-decay parameter of the wavelet (bandwidth in the frequency domain). Must be a positive scalar. - fc : Center frequency of the complex Shannon wavelet, specified as a positive scalar. -Output Parameters - psi : Complex Shannon wavelet evaluated on the n point regular grid x in the interval [lb,ub], returned as a 1-by-n vector. - x : Grid where the complex Shannon wavelet is evaluated, returned as a 1-by-n vector. The sample points are evenly distributed between lb and ub. -Examples - 1.[a,b]=shanwavf (2,8,3,1,6) - a = [-3.8982e-17 + 1.1457e-31i 3.8982e-17 - 8.4040e-31i -3.8982e-17 + 4.5829e-31i] - b = [2 5 8] */ function [psi,x]=shanwavf(lb,ub,n,fb,fc) + // Description +// Compute the Complex Shannon wavelet. +// The complex Shannon wavelet is defined by a bandwidth parameter fb, a wavelet center frequency fc, and the expression +// psi(x) = f * b^{1/2}sinc(fb . x) e^{2 pi i f c x} +// on an n-point regular grid in the interval of lb to ub. +// Calling Sequence +// [psi, x]= shanwavf(lb, ub, n, fb, fc) +// Input Parameters +// lb, ub (Real valued scalers) : Interval endpoints lb ≤ ub, specified as a pair of real-valued scalars. +// n (Real valued integer strictly positive)` : Number of regularly spaced points in the interval [lb,ub], specified as a positive integer. +// fb : Time-decay parameter of the wavelet (bandwidth in the frequency domain). Must be a positive scalar. +// fc : Center frequency of the complex Shannon wavelet, specified as a positive scalar. +// Output Parameters +// psi : Complex Shannon wavelet evaluated on the n point regular grid x in the interval [lb,ub], returned as a 1-by-n vector. +// x : Grid where the complex Shannon wavelet is evaluated, returned as a 1-by-n vector. The sample points are evenly distributed between lb and ub. +// Examples +// 1.[a,b]=shanwavf (2,8,3,1,6) +// a = [-3.8982e-17 + 1.1457e-31i 3.8982e-17 - 8.4040e-31i -3.8982e-17 + 4.5829e-31i] +// b = [2 5 8] + funcprot(0); rhs=argn(2); if (rhs~=5) then |