## Thursday, March 02, 2006

### Signal-to-Noise Ratio (SNR)

Signal-to-Noise Ratio (SNR) defined as:

This error e must be between -\Delta/2 and \Delta/2, where \Deltais the interval between successive levels depends on two parameters:

1. Number of levels, i.e. 2^n,
2. The dynamic range (max - min) of the input signal. Let's denote as D.

Assume the quantization error e is uniformly distributed between -\Delta/2 and \Delta/2,

Thus, SNR can be improved by
1. raising the signal power, Ps,
2. reducing the signal dynamic range, D,
3. increase the number of bits, n.

"6-dB rule" : it's convenient to remember that every additional bit will improve the SNR by 20log2 = 6 dB