Consider the Haar filter bank discussed in §11.3.3, for which

(12.92) |

The paraconjugate of is

(12.93) |

so that

(12.94) |

Thus, the Haar filter bank is paraunitary. This is true for any power-complementary filter bank, since when is , power-complementary and paraunitary are the same property. For more about paraunitary filter banks, see Chapter 6 of [287].

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