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Answer by Rogan Josh for What does it mean to have a pole or zero at infinity?

In response to Chu's excellent explanation, the gain, K, equals the (product of pole lengths/product of zero lengths)..The value you have described as gain, actually defines the magnitude M, with M = 1/K.

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Answer by Chu for What does it mean to have a pole or zero at infinity?

Poles at infinity are obtained when the order of the numerator is higher than the order of the denominator. Consider a transfer function G(s) with a numerator of order n, and denominator of order m,...

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Answer by Andreas H. for What does it mean to have a pole or zero at infinity?

Suppose we have a system with system response of \$H(s)\$ (i.e. the Laplace transform of the impulse response). Then \$H(s)\$ has a zero/pole at infinity if the function $$H(1/s)$$ has a zero/pole at...

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What does it mean to have a pole or zero at infinity?

what does it signify ? At pole/zero frequencies the response of a system goes to infinity/zero, so I think same is the case with poles/zeros at infinity, but how do these poles/zeros affect the design...

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