Assume that certain signal processing system needs a samplin

Assume that certain signal processing system needs a sampling period of 160 mu sec and at least 10,000 quantized levels to convert analog signals to binary digital signals. For such a system, what is the sampling frequency (in kHz)? what is the bit resolution?

Solution

sampling frequecy= 1/sampling period

                          = 1/(160*10^-6) = 6.25kHz

bit resolution = bits/sample =N

and N = logQ/log2

Q= no.of quantised levels=   >10,000

N= log10000/log2 =13.287 bits/sample