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Derive quantization formula based upon variance of sinewave

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Derive the quantization formula based upon the variance of a sinewave and the variance of distortion due to quantization.

SDR = 6(A/Δ)2

This is the signal to distortion (SDR) ratio for a quantized sinewave. A is the amplitude of the quantized sinewave and Delta is the quantization interval of the analog to digital converter, and the quantization performed is rounding.

Using the variance of a random variable based upon statistical samples. The ratio of these two variances is the signal to distortion ratio for the quantized sine wave.

Reference no: EM13948013

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