A high-resolution thermopile infrared sensor array having monolithically integrated signal processing and a plurality of parallel signal processing channels for the signals from pixels of a sensor array, and a digital port for the serial output of the pixel signals are provided, wherein the sensor array is located on one or more sensor chips. The thermal piled infrared sensor array possesses low power loss, high integration density and high thermal and geometric resolution. Each signal processing channel (K1 . . . KN) has at least one analogue/digital converter (ADC), and is assigned a memory region in a memory (RAM) for storing the signals from the pixels (SE).