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The amplitude of a random signal is uniformly distributed between $-5 \mathrm{~V}$ and $5 \mathrm{~V}$.

If the positive values of the signal are uniformly quantized with a step size of $0.05 \mathrm{~V}$, and the negative values are uniformly quantized with a step size of $0.1 \mathrm{~V}$, the resulting signal to quantization noise ratio is approximately

  1. $46 \mathrm{~dB}$
  2. $43.8 \mathrm{~dB}$
  3. $42 \mathrm{~dB}$
  4. $40 \mathrm{~dB}$
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