A borehole resistivity distribution system includes a cable having an array of transmitters along a shared conductive loop. Each of the transmitters is coupled to a corresponding frequency-dependent material or device. An application of a first drive signal to the cable excites the transmitters, to obtain a first measurement, the first drive signal having a first frequency and a first amplitude. An application of a second drive signal to the cable excites the transmitters, to obtain a second measurement, the second drive signal having a second frequency and a second amplitude. At least the first frequency is different from the second frequency, or the first amplitude is different from the second amplitude. The system further includes a processor coupled to receive the first and second measurements, to derive, based at least in part on the measurements, a resistivity distribution around a borehole.