A new method for designing FIR/IIR digital correction filters for time-interleaved analog-to-digital converter using second order cone programming

A new method for designing finite duration impulse response (FIR) and infinite duration impulse response (IIR) digital correction filters for time-interleaved analog-to-digital converter (TIADC) using second order cone programming (SOCP) is proposed. Assuming that the distortion of the ADCs can be modeled by linear time-invariant systems, it can be shown that the design problem of the digital FIR correction filters using least squares (LS) or minimax criterion subject to linear and convex quadratic inequalities constrains can be formulated as a SOCP problem. Model reduction technique is also employed to reduce the system complexity for low delay applications using IIR correction filters. Design results show that the proposed algorithm is very effective in correcting the distortion and aliasing error of TIADC systems and at the same time it offers more flexibility than conventional methods.