System and method for providing an arrangement of two first-order directional microphones arranged in tandem to form a second-order directional microphone system

A method comprising:

• receiving an acoustic input at a first directional microphone of an amplified listening device, the first directional microphone comprising:
• a first front microphone inlet port closest a front of the amplified listening device;
• and
• a first rear microphone inlet port behind the first front microphone inlet port;
• generating, by the first directional microphone, a first electrical signal having a first phase;
• receiving the acoustic input at a second directional microphone of the amplified listening device, the second directional microphone comprising:
• a second rear microphone inlet port adjacent the first rear microphone inlet port of the first directional microphone;
• and
• a second front microphone inlet port behind the second rear microphone inlet port, wherein the first front microphone inlet port, the first rear microphone inlet port, the second rear microphone inlet port, and the second front microphone inlet port are linearly aligned in a same plane;
• generating, by the second directional microphone, a second electrical signal having a second phase opposite the first phase;
• combining, by a resistive summing circuit of the amplified listening device, the first electrical signal and the second electrical signal to generate a second order directional response, wherein the resistive summing circuit does not include phase inverting circuitry;
• converting, by a receiver of the amplified listening device, the second order directional response to sound;
• and
• outputting, by the receiver, the sound through an acoustic channel of a sound tube of the amplified listening device.