Low-Complexity High-Order Vector-Based Mismatch Shaping in Multibit $\Delta \Sigma$ ADCs

This paper presents a new vector-based mismatch-shaping technique for multibit ΔΣ analog-to-digital converters. It has low hardware complexity, which only linearly grows with the number of unit digital-to-analog converter elements. Compared with the existing low-complexity vector-based technique, this technique does not require extra filters and has much better mismatch-shaping effect and stability. Simulations under various conditions prove its validity.