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If ak is the filter coefficient and āk represents the quantized coefficient with Δak as the quantization error, then which of the following equation is true?

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If ak is the filter coefficient and āk represents the quantized coefficient with Δak as the quantization error, then which of the following equation is true?

(a) āk = ak.Δak

(b) āk = ak/Δak

(c) āk = ak + Δak

(d) None of the mentioned

I got this question during an online exam.

I'm obligated to ask this question of Quantization of Filter Coefficients in portion Digital Filters Design of Digital Signal Processing

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Correct choice is (c) āk = ak + Δak

The best explanation: The quantized coefficient āk can be related to the un-quantized coefficient ak by the relation

āk = ak + Δak

where Δak represents the quantization error.

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