In this thesis, a switched-current integrator with active amplifier feedback and dummy switch is proposed to increase the operation speed and reduce the non-ideal effects in traditional switched-current circuit. The active amplifier is designed in low gain and high bandwidth so that the oscillation can be avoided. We improve the operation speed and transmission error by the active amplifier feedback and reduce the CFT error by the dummy switch so that high resolution can be achieved. Then we apply the proposed integrator to the switched-current sigma-delta modulator. The sigma-delta modulator is simulated using TSMC 0.35£gm CMOS process with 3.3V power supply. We obtain 67dB PSNR, 66dB dynamic range(DR), and 40KHz bandwidth. The sampling frequency is 10.24MHz, the power supply is 3.3V and the power consumption is 19mW.