This section defines some general functions, which are common utilities for wavelet transformation and other functions.
Name | Description |
---|---|
An external function to carry out FFT | |
Cumulative sum of a vector. Data type is Real. | |
Cumulative sum of a vector. Data type is Integer | |
Difference between every two adjacent elements of a vector | |
Fast Fourier transform | |
Shift zero-frequency component to center of spectrum | |
Find the location of a value in a monotone vector | |
Get the four wavelet filters based on a given scaling filter | |
Inverse fast Fourier transform | |
Inner product of two same length vectors | |
One-dimensional linear interpolation | |
Extract the middle part of a vector | |
Inverse non-standard 1-D fast Fourier transform | |
Quadrature mirror of a given vector | |
Sinc function | |
Up-sampling of a vector (insert a zero after every element except the last one) | |
Fully convolving of a data vector and a filter vector for wavelet transform |