A light-emitting diode (LED) driving circuit for driving an LED channel including a plurality of LED elements includes a switch-capacitor amplifier circuit configured to sample received input current and amplify an input voltage corresponding to the input current, a replica circuit configured to connect to the switch-capacitor amplifier circuit in a first period to define a first feedback loop, and an output circuit configured to connect to the switch-capacitor amplifier in a second period to define a second feedback loop. The second period is after the first period, and the output circuit is configured to generate output current according to an output voltage of the switch-capacitor amplifier circuit and provide the output current to the LED.