CSI: Signal Processing
ENHANCE'D!
The Heisenberg uncertainty principle, as it applies to signal processing, holds unequivocally insofar as frequency is taken to be a wholly descriptive property of the system - that is, a measurement of periodic behaviour. However, if we impose assumptions on the nature of the system - in this case, to assume the system is an oscillator and to treat frequency as a frequency-modulating input to the system (thus, a hidden variable, rather than a descriptive measurement), it is possible to reconstruct and interpolate the values of this modulating input, allowing us to "measure" frequency to a much higher resolution than is permitted by the uncertainty principle.