Discussion
A companded coder gives \( 38 \ \mathrm{dB} \) of signal-to-noise ratio over a \( 40 \ \mathrm{dB} \) input range. A uniform coder of the same word length would give \( 38 \ \mathrm{dB} \) only
Answer: A
A uniform quantiser's step is fixed, so its ratio falls decibel for decibel as the signal falls:
\[ \begin{aligned} \text{at full scale} &: 38 \ \mathrm{dB} \\ \text{40 dB below} &: -2 \ \mathrm{dB} \end{aligned} \]
so it reaches 38 dB only at full amplitude. Companding's achievement is holding the ratio roughly constant across the range instead, which is what a listener actually notices.
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