Analog-to-information converter (AIC) become the next generation of the core technology of Analog to digital due to lower than the Nyquist sampling rate. AIC processes the input signal by random demodulator, thus the AIC system has typical time-varying characteristics which results in the mismatch between the theoretical model and the actual circuit model. Aiming at this problem, based on switched capacitor as the core component of AIC, using the linear periodically time-variant (LPTV) theory analysis periodic timevarying AIC system which is converted into a Linear Time invariant system, pushing the transmission function of the AIC system, the circuit design method of AIC theory model is established. Experimental results show that the circuit design method makes the theoretical system transfer function well-matched with the actual system transfer function, which fully verifies the effectiveness of the design scheme. The reconstitution result proves that the sampling rate of the system can be reduced to 25% of the original Nyquist rate using this circuit structure and the successfully reconstructed signal-to-noise ratio is up to 39. 7 dB.