Question 4

Abstract

a) Derive a bound for the aperture error or jitter allowable in the sample-and-hold used as the input stage to an N-bit analogue-to-digital converter (ADC, in terms of the maximum sampling frequency. [8 MARKS] b) Derive an expression for the root mean square of quanitisation error for an N-bit ADC assuming an equiprobable error distribution within each quantisation step. [8 MARKS] c) Use this to calculate the signal-to-noise ratio of a digitised triangular wave that spans the full input range of a 16-bit ADC. [4 MARKS]