Omnidirectional plane-wave destruction |

Appendix: Separability of the 2D maxflat filter

Following Thiran (1971), the maxflat condition of 1D fractional delay filter is expressed as

(22) |

With the additional constraint (Chen et al., 2013)

(23) |

we can obtain the unique . Similarly, satisfies the following linear system:

(24) |

Substituting into the 2D maxflat equation 12, for all , we obtain

(25) |

Also, for , and or , and , equation 12 still holds true.

Substituting into the additional constraint in Equation 13,

(26) |

In other words, is a solution of the combined linear system of equation 12 and 13. This linear system must have a unique solution, therefore

(27) |

Omnidirectional plane-wave destruction |

2013-08-09