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A signal is sampled at $8 \; \mathrm{kHz}$ and is quantized using $8$-bit uniform quantizer. Assuming $\mathrm{SNR}_q$ for a sinusoidal signal, the correct statement for $P C M$ signal with a bit rate of $R$ is

  1. $\mathrm{R}=32 \; \mathrm{kbps}, \quad \mathrm{SNR}_q=25.8 \mathrm{~dB}$
  2. $\mathrm{R}=64 \; \mathrm{kbps}, \quad \mathrm{SNR}_{\mathrm{q}}=49.8 \mathrm{~dB}$
  3. $\mathrm{R}=64 \; \mathrm{kbps}, \quad \mathrm{SNR}_q=55.8 \mathrm{~dB}$
  4. $\mathrm{R}=32 \; \mathrm{kbps}, \quad \mathrm{SNR}_q=49.8 \mathrm{~dB}$
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