4-Point Moving Average Filter: Coefficients for Zero Freq Null (GATE EC 2015 Q. 28)

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EC > GATE 2015 SET-3 > Digital Filters

Consider a four-point moving average filter defined by the equation y[n] = ∑_i=0³α_i x[n-i]. The condition on the filter coefficients that results in a null at zero frequency is

A

α₁ = α₂ = 0; α₀ = -α₃

B

α₁ = α₂ = 1; α₀ = -α₃

C

α₀ = α₃ = 0; α₁ = α₂

D

α₀+α₁+α₂+α₃=0

Correct : d

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EC GATE 2015 four point moving average filter null at zero frequency filter coefficients condition GATE electrical moving average filter EC gate four point filter

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