This section defines some general functions, which are common utilities for wavelet transformation and other functions.

Name | Description |
---|---|

_fft | An external function to carry out FFT |

cumSum | Cumulative sum of a vector. Data type is Real. |

cumSumInt | Cumulative sum of a vector. Data type is Integer |

diff | Difference between every two adjacent elements of a vector |

fft | Fast Fourier transform |

fftShift | Shift zero-frequency component to center of spectrum |

findIndex | Find the location of a value in a monotone vector |

filterBank | Get the four wavelet filters based on a given scaling filter |

ifft | Inverse fast Fourier transform |

innerProduct | Inner product of two same length vectors |

interpL | One-dimensional linear interpolation |

midVector | Extract the middle part of a vector |

nStdIfft | Inverse non-standard 1-D fast Fourier transform |

quadReverse | Quadrature mirror of a given vector |

sinc | Sinc function |

upsample | Up-sampling of a vector (insert a zero after every element except the last one) |

wavConv | Fully convolving of a data vector and a filter vector for wavelet transform |

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