Sentence examples for the normalization condition from inspiring English sources

It is shown that the norm of the Morlet wavelet function does not satisfy the normalization condition and that the normalized Morlet wavelet function is identical to the Gabor wavelet function with the parameter σ=1.

enforcing the normalization condition.

(1) Calculate the weights: (6) enforcing the normalization condition.

By using the normalization condition for stationary distribution, we have.

where and is found from the normalization condition.

However, the normalization condition for distribution function (4) (5).

Several N LLWFBs for image compression are designed, and they are normalized in terms of the normalization conditions of the first generation wavelet filter bank.

Note also the normalization conditions in Eq. (23).

The fundamental solutions that satisfy the normalization conditions are derived and used to establish the frequency equations for one-step rods with classical and non-classical boundary conditions.

In order to ensure that the above function have only one solution, the scaling normalization condition must be added.

Note that the canonical normalization condition, Eq. (3), is applied subsequent to the eigenvalue calculation in order to compute physical observables.