#### Properties of Paraunitary Systems

Paraunitary systems are essentially multi-input, multi-output (MIMO) allpass filters. Let denote the matrix transfer function of a paraunitary system. Some of its properties include the following [98]:

• In the square case (), the matrix determinant, , is an allpass filter.

• Therefore, if a square contains FIR elements, its determinant is a simple delay: for some integer .

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