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Ideal filters are not realizable because it would require a impulse response that extends from minus infinity to plus infinity, and it would be also a noncausal system. It may be proved on the frequency domain using the Paley-Wiener Criterion, which states that a square integrable magnitude response function |H(f)| is physically realizable if
\int_{-\infty}^{+\infty} \frac{| \log_e |H(f)| |}{1+f^2} df < \infty
Any ideal filter would require H(f) to have magnitude equals zero in a bandwidth and that would make | \log_e |H(f)| | infinitely large and the condition above would not hold.
Wiki User
∙ 12y ago
Wiki User
∙ 11y agoit is the idealness wich hides the filteration in responses.
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