Why higher resolution and smaller input range is better for

Why higher resolution and smaller input range is better for digitization of small analog signals?

Solution

Digitizations convert the samples of an analog signal into digital values using analog to digital converter ADC

The more bits , the smaller the change in signal and ADC can detect. Also more bits provides finer amplitude resolution and dynamic range, distortion and noise can be avoided since smaller change in signal

The high resolution digitizations is to measure small signals. Many signals, will have both small signal and large signal components, for signals with both small and large voltage components, we require a high resolution instrument, which has a large dynamic range and the ability to detect small and large signal simultaneously

For n-bit digitizations the resolution is defined as 2ⁿ which can resolve.

The smallest value that can be detected is 1/2ⁿ

Hence higher resolution is obtained by selecting large n valve which provides large dynamic range