morlet1dt

Compute the 1D+T Morlet Wavelet in frequency plane

Syntax

[out] = morlet1dt(k,w,k_0,w_0)

Description

This function computes the 1D+T Morlet wavelet in wave-number/frequency domain.

That is, the wavelet given by

  PSIHAT (k,w) = exp( - ( (k - k0).^2 + (w - w_0).^2 ) / 2)

where PSIHAT is the space-time Fourier transform of PSI.

This wavelet depends of two parameters: k_0 and w_0. It is not truly admissible but for k_0>5.5 and w_0>5.5, it is considered like numerically admissible. This function is used by the cwt1dt routine which computes continuous wavelet transform in 2D.

Input Data

k, w

[REAL MATRICES]: The wave_number/frequency domain. Use meshgrid to create it.

k_0, w_0

[REAL SCALARS]: The wavelet parameters.

Output Data

out

[REAL MATRIX]: The wavelet in wave_number/frequency domain.

Example(s)

References

See Also

cwt1dt cwt1dt_yashow meshgrid

Location

continuous/1dt/wave_defs/morlet1dt.m