Dictionary:Phase characteristics (multichannel)

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A multichannel filter can be expressed as a matrix. It is minimum phase if its determinant (which can also be expressed as the product of doublets) is minimum phase. For example, a multichannel response produced by impulsive inputs might be:

input channel 1input channel 2
output channel 1(2+z)(z)
output channel 2(1)(6+z),

with the determinant 12+7z+z2=(3+z)(4+z), which is minimum phase; hence the multichannel response is minimum phase. Statements similar to those for single-channel phase characteristics can be made for maximum phase, linear phase, or zero phase. See also Sheriff and Geldart (1995: 290-1, 550-2).