While I'm not sure I understand what a reciprocal frequency is, I believe the method you might be referring to is active acoustic attenuation which is also referred to as active acoustic cancellation.
An active acoustic attenuation system employs a receiving array, adaptive filter, processor, and an emitter to receive emitted signals (noise), measure signals, and then emit signals 180 degrees out of phase to the incoming signals thus producing destructive interference waves. The result is an interference zone wherein all noise that can be perceived by a local receiver within the zone is nullified.
Relative to the intended application, I see two practical limitations imposed by mother nature.
1. The receiving array (for capturing the signals to be cancelled) cannot be collocated with the emission source as the interference zone would of such small size as to render system effectiveness of no practical use. The active acoustic attenuation system as described would be useful for a public address system as long as the the receiver/emission array is of sufficient distance away from the noise source such that a receiver (listener) can be positioned within the cancellation zone.
2. More importantly, in order to function, the emitted noise must come from a stationary source. The concept, as described, would not be useful for an emission source with any velocity. In a situation where the emitted noise (acoustic waves) are propagated simultaneously to the input device, the canceling acoustic wave generated, even with a small time delay, would be lagging behind the original acoustic wave issued from the emission source. If the time delay for producing the canceling attenuation signals are Δt millisecond, and the velocity is V, then the canceling signal waves travel behind the original emission source by distance of D=VΔt. The canceling signals simply cannot catch up with the original sound waves from the emission source because both are propagating in the air with the same velocity.
With respect to the noise emitted from the V-22, I note the following: 1) the V-22 blade design is composite and the characteristics of the composite material does diminish emitted noise; 2) the design of the nacelles also uses methods to reduce emitted noise from the propulsion system and APU; 3) the V-22 can make a low noise approach which calls for the wings to be in a 40 degree position for most of the decent and begin a 90 degree rotation close to the ground. The proximity to the ground when the thrust is directed vertically limits the size of the "acoustic bounce" and the amount of noise generated. These and other reasons (range primarily) are why the Special Operations Forces fought so hard for, and managed to save the V-22 when former Defense Secretary Dick Cheney fought so hard to have the program killed.
If you are in search of a true low acoustic design that is compatible with RF low observables and offers the capability of vertical lift, might I suggest the fan-in-wing concept. While this concept does offer most of the practical characteristics you seek, I note that prior designs needed to tow a gas station behind them in order to achieve practical range. That said, concepts were conceived in the late 1980's and early 1990's before the advent of advanced composites. So it might be possible today to design a more structurally efficient airframe that could make the concept practical.
