Omnidirectional plane-wave destruction |

The combined linear system can be solved analytically. It is based on the property that can be decoupled into the product of two terms, as shown in the appendix,

where and denote coefficients of the 1D maxflat fractional delay filter used to approximate and respectively. Equation 14 implies that the 2D maxflat filter is equivalent to a cascade of two 1D maxflat filters,

(15) |

and can be designed in the same way as for the line-interpolating PWD, whose coefficients are given by equation 5. can be implemented by applying the 1D maxflat filter on each direction independently.

This separability of the maxflat linear phase filter extends to 3D and higher dimensions.

Omnidirectional plane-wave destruction |

2013-08-09