This paper presents a new design for the optimization of analog to digital sigma delta-coupling noise annotations. The proposed technique increases the level of the signal-to quantization-noise-ratio (SQNR) by improving the zero of the noise transfer function, which leads to an increase in signal to noise. In the new SQNR design, the modulator rises up to 8.5 db. The proposed structure of the first-order dual-channel sigma-delta modulator is also presented.