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Quad Directional "Shotgun Microphone" Amplification with Noise cancellation from offset Mics

Other Parts Discussed in Thread: TL074, TL071, LM386, LM837

I am attempting to construct a 4 direction “Shotgun Microphone” Amplification circuit. The circuit is essentially the same as the “Super Mic” circuit     located at http://members.shaw.ca/roma/twenty-eight.html. X 4

With the following  substitutions

Replacing  the TL071 With a TL074,

And Replacing the LM386 with an LM837

And adding three more sets of the other components to the circuit.

I would also like (If Possible) to add two more copies of this quad amplification circuit with the Mics offset 45 degrees and -45 degrees, and couple the inverted signals from the two offset boards with the signal from the microphone between these two, to essentially cancel out audio noise from each side of main directional microphone.

The 2nd circuit would have the microphones offset +45 degrees from the main Microphones

 The third circuit would have the microphones offset -45 degrees from the main Microphones

The questions I have are

1) using the 4 sets of audio output signals from each of the 3 boards, is there an ic that would invert the signal from one microphone input and combine it with the input signal from a second microphone producing an output that could then be combined with the signal from the third mic to create a clearer directional audio output signal for that particular direction?

2) Am I crazy for even thinking that it would be possible to clear up the audio output from a directional "Shotgun Microphone" by combining the signals from 2 other "Shotgun Microphones" offset 45 degrees to each side of the first Microphone?