Method for synthesizing sigma-delta modulator

A method for synthesizing Sigma-Delta Modulator, comprising following steps:

• (a) select at least a system configuration and a plurality of parameters, substitute a noise transfer formula into said system configuration to obtain a plurality of coefficients;
• then, use a least-square method to obtain a stability equation, and calculate an ideal peak-signal-to-noise-ratio (PSNR) and an ideal peak-signal-to-noise-distortion-ratio (PSNDR) of said system configuration based on said parameters and said stability equation;
• (b) substitute said coefficients into at least a non-ideal effect model for simulating a circuit specification of an operation amplifier in said system configuration in a hierarchic approach, and calculate the predicted circuit performance of said operation amplifier;
• and
• (c) integrate at least a specification equation related to said operation amplifier, to determine if said circuit specification of said operation amplifier has a solution, and in case the answer is negative, then terminate said synthesis, otherwise, calibrate length and width of at least a transistor in said operation amplifier, until width and length of said transistor meet the requirements of said circuit specification.