SUMMARYWe present a design methodology for globally optimizing the topologies of delta-sigma modulators (DSMs). Previous work cast the design task into a general non-convex, nonlinear programming problem, whereas we propose to recast it as a signomial programming problem. Convexification strategies are presented for transforming the signomial programming problem into its equivalent convex counterpart, thereby enabling the solution of globally optimal design parameters. It is also possible to include circuit non-ideal effects that affect the transfer function of the modulator into the formulation without affecting the computational efficiency. The proposed framework has been applied to topology synthesis problems of single-loop and multi-loop low-pass DSMs based on discrete-time circuitry. Numerical results confirm the effectiveness of the proposed approach over conventional nonlinear programming techniques.
We present design methodologies for globally opu timizing the topologies of Delta-Sigma modulators. The design bi b2 b3 task is cast into a generally nonconvex signomial programming E problem. Convexification strategies are presented for transform--+ ) 1 1 ing the nonconvex signomial programming problems into their 11 3 Z -I t2 equivalent convex counterparts, thereby enabling the solution of + zt12 i 1z-t2 + V globally optimal design parameters. Numerical examples verify -t22 the effectiveness and superiority of the proposed approach over -a2 -a3 conventional nonlinear programming techniques. al ti1 -1
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