GATE EC 2015 Set 3 — Question 28
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Question
Consider a four-point moving average filter defined by the equation . The condition on the filter coefficients that results in a null at zero frequency is
Correct answer
(A) α₁ = α₂ = 0; α₀ = -α₃
Solution
The transfer function of the filter is . Zero frequency corresponds to . For a null at zero frequency, . Checking the options:
(A) . This satisfies the condition.
(B) .
(C) .
(D) .
Thus, option (A) is the correct condition.
(A) . This satisfies the condition.
(B) .
(C) .
(D) .
Thus, option (A) is the correct condition.
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