Closed-Form Expression for the Combined Effect of Offset, Gain, Timing, and Bandwidth Mismatch in Time-Interleaved ADCs Using Generalized Sampling

Abstract

The performance of a time-interleaved analog-to-digital converter (TI-ADC) gets compromised due to offset , gain mismatch , timing mismatch , and bandwidth mismatch . This article analyzes a TI-ADC from a generalized sampling perspective and then develops closed-form expression of the signal-to-noise and distortion ratio (SNDR) of an $N$ -channel TI-ADC when all of gain mismatch , timing mismatch , and bandwidth mismatch are present at the same time. The analysis is then extended to incorporate the effect of offset along with the other three mismatches to arrive at closed-form expression of SNDR in the presence of all the mismatches. The closed-form expressions have been validated through numerical simulations as well.