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:

If the quadrature filter $q(t)$ is applied to a signal $s(t)$ , the result is

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.

单词	Quadrature filter
释义	Quadrature filter 英语百科 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: If the quadrature filter $q(t)$ is applied to a signal $s(t)$ , the result is 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.
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