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Assume we have a digital transmission system where digital signal levels are in the range [-1, +1] volt. Noise affecting the digital signal is uniformly

Assume we have a digital transmission system where digital signal levels are in the range [-1, +1] volt. Noise affecting the digital signal is uniformly distributed in the range [-1/16, + 1/16] volt.

During quantization of an analog signal that is to be sent over this digital transmission system: how many levels can be used to represent the signal before the noise starts introducing errors?

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