Calculate the minimum bit size and sampling frequency and pe

Calculate the minimum bit size and sampling frequency and period for DSP (Digital Signal Processor) to handle an incoming signal with a range from 0 to 5 V, frequency components between 25 and 250 Hz and sensitive to ±1 mV.

Solution

Ans) As per Nyquist sampling theorem ,the sampling frequency should be twice the maximum frequency in your input signal,So sampling frequency here is

Fs=2*250=500 Hz

And resolution for n-bit ADC is V*1/(2ⁿ-1)=1 mV given

2ⁿ-1=5/1m=5000

2ⁿ=5001

n=log₂5001=12.288

rounding to next higher integer gives bit size needed n=13