Σ-Δ modulator is a common used critical part in mixed signal circuits. In this paper

based on a second order low-pass modulator

all the non-idealities are analyzed and modeled including non-ideal switch

colored noise model

non-linear DC gain and multi-bit DAC capacitor mismatch

which are not included together in existing work. The modulator is implemented in HJTC 0.18μm process with taping out and test has been accomplished. Modulator model is verified through compare with circuit simulation and actual circuit measurement data. The presented modeling method serves as an accurate and efficient guide for architecture and modulator circuit design.