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Which of the following filters cannot be designed using impulse invariance method?

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Which of the following filters cannot be designed using impulse invariance method?

(a) Low pass

(b) Band pass

(c) Low and band pass

(d) High pass

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This question is from IIR Filter Design by Impulse Invariance topic in portion Digital Filters Design of Digital Signal Processing

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The correct answer is (d) High pass

To explain: It is clear that the impulse invariance method is in -appropriate for designing high pass filter due to the spectrum aliasing that results from the sampling process.

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