System and method for integrating an input signal to generate an output signal. The system includes a first integrator configured to receive the input signal and generate an integrated signal based on at least information associated with the input signal, a second integrator configured to receive the integrated signal and generate the output signal based on at least information associated with the integrated signal, and a compensation capacitor coupled to the first integrator and the second integrator. The first integrator includes a first integration capacitor and a first operational amplifier including a first input terminal and a first output terminal, the first integration capacitor being coupled between the first input terminal and the first output terminal. The second integrator includes a second integration capacitor and a second operational amplifier including a second input terminal and a second output terminal.