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Numerical: Minimum Allowable Signal-to-Noise Ratio

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Suppose you want to achieve a bit rate of 64 Kbps using a maximum bandwidth of 10,000 Hz. What is the minimum allowable signal-to-noise ratio? Express this ratio in deciBells.

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Solution Preview

As per Shannon's result,

bit rate = bandwidth * lg (1 + S/N)

where, lg means log-base-2, and S/N specifies signal-to-noise ...

Solution Summary

Solution first computes signal-to-noise ratio and then shows how to express it in deciBells.