Embodiments herein describe an input device that includes a rectangular array of sensor electrodes connected to sensor modules that measure capacitive sensing signals corresponding to the electrodes. When performing code division multiplexing (CDM), multiple sensor electrodes are coupled to the same sensor module. As such, the sensor module generates a measurement that represents the sum of the charges on the sensor electrodes rather than an individual charge on a single sensor electrode. By repeatedly sensing multiple sensor electrodes in parallel, the input device can determine a change of capacitance for each individual sensor electrode.