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Quadrature filter : ウィキペディア英語版
Quadrature filter

In signal processing, a quadrature filter q(t) is the analytic representation of the impulse response f(t) of a real-valued filter:
:
q(t) = f_(t) = \left(\delta(t) + \right)
* f(t)

If the quadrature filter q(t) is applied to a signal s(t), the result is
:
h(t) = (q
* s)(t) = \left(\delta(t) + \right)
* f(t)
* s(t)

which implies that h(t) is the analytic representation of (f
* s)(t).
Since q is an analytic signal, it is either zero or complex-valued. In practice, therefore, q is often implemented as two real-valued filters, which correspond to the real and imaginary parts of the filter, respectively.
An ideal quadrature filter cannot have a finite support, but by choosing the function f(t) carefully, it is possible to design quadrature filters which are localized such that they can be approximated reasonably well by means of functions of finite support.
==Applications==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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