General analysis of large linear switched capacitor networks

A new time and frequency domain analysis method is presented for nonideal switched capacitor networks that is orders of magnitude faster than existing techniques. This efficiency is achieved by developing a formulation such that a continuous AC analysis is not required; this allows the system to be solved as an entirely discrete one. A special compression technique reduces the solution of this discrete system to that of solving the network in one phase only. This final solution step, which ordinarily requires O(ν³) operations (ν is the matrix order), is rendered more efficient by reducing the system to upper Hessenberg form in a preprocessing step, when the solution cost is reduced to O(ν²) operations. Sparse matrix techniques, optimal ordering and interpretive code generation are all used to advantage. Performance is compared with existing programs