if I need to guarantee a 80KHz
Is that a typo??? ...Most microphones are designed for the audio range.
And, "nose cancellation" is going to be extra-tricky at 80kHz (because of the short wavelengths) . It's tricky-enough in the audio range (especially if it's not built-into headphones), and noise cancellation is usually not done digitally.
Basically, "all it takes" to do noise cancellation is a microphone and an inverting amplifier (or you can simply invert the speaker connections). With the speaker making an inverted soundwave, the soundwaves cancel in the air. With headphones, the microphone can be near the ear so it's picking-up the same sound as the ear (compensated for the sound-loss through the headphone housing). With the microphone on the outside of the headphone housing, it can pick-up the original noise without picking-up the inverted sound from the speaker.
You can demonstrate the effect by reversing the connections to one stereo speaker. You'll notice that most of the bass gets canceled. The higher frequencies are not as completely canceled because you get phase differences with the shorter wavelengths (so the two are not exactly 180 degrees out of phase). As you move around you'll hear different frequencies getting canceled which creates a weird "spacey/phasey" effect. The effect is more dramatic (nd you get better cancelation) with mono recordings (where the left & right are identical).