Systems, devices and methods are provided for diotically presenting second-order gradient directional hearing aid signals. The present subject matter provides an improved signal-to-noise ratio, and presents a desired directional signal to each ear. One aspect is a hearing aid system. In one embodiment, the system includes a first microphone system in a first device and a second microphone system in a second device. The first microphone system has a first output signal, and the second microphone system has a second output signal. Each output signal includes a first-order directional signal. The system further includes a first receiver circuit and a second receiver circuit. The combination of the first output signal and the second output signal provides a diotic presentation of a second-order gradient signal to both the first receiver circuit and the second receiver circuit. Other aspects are provided herein.