Is this a reason for causality of Chebyshev filter?

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arunach

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Hi everyone
I was told only because of ripples in pass band or stop band of Chebyshev filter ,it satisfies the condition of causality. Is this true?

Thanks
Arunach
 

All filter functions that are described by a ratio of polynomials are causal. You can do a thought experiment. This math function can be decomposed to a sum of fractions as in partial fraction expansion. Then the Laplace transform is made of each term to predict the time response. All of these are simple exponential or sinusoidal time functions.
 

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