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The signal is not "strengthened" by adding extra noise to it; instead the added extra noise $N_X$ and the received signal and noise $S+N$ are in different frequency bands; when the original $S+N$ is smaller than say a quantization step then adding the right amount extra noise can make that $S+N$ flip between levels and that way the quantization error is ...


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The measure analogous to 'bits per second' that people care about for (electrical) analog signals are signal-to-noise ratio and bandwidth. The Shannon-Hartley theorem tells you how to calculate bits per second from S/N ratio and bandwidth. Some examples: Human hearing has a bandwidth of about 20 kHz. A narrower bandwidth will result in perceptible changes,...


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