Critical analysis of uncertainty relations
based on signal duration and spectrum width // Electronics and Electrical Engineering.
By performing multiple numerical calculations of Fourier transform and also by analyzing Mason-Zimmermann's formula (14) and especially its square bracket term we concluded that a reasonable uncertainty relation formulation could use signal duration and spectrum peak width for any harmonic.
Philosophically, the offered uncertainty relation (15, 16) is the mathematical result, based on the mathematical definition of the Fourier transform.
It has been concluded that the Fourier Uncertainty Principle that is equivalent to Heisenberg's Uncertainty Relation in quantum mechanics has not found wide application in signal processing since the evaluation of variances in frequency domain must take into account both positive and negative values of frequency.
However, for a case of train of pulses, it is possible to define a remarkably more universal uncertainty relation [DELTA]t[DELTA]f [right arrow] 1.
Discussions on uncertainty relations (UR) and quantum measurements (QMS) persisted until nowadays in publications about quantum mechanics (QM).
The uncertainty relations (UR) and quantum measurements (QMS) constitute a couple of considerable popularity, frequently regarded as a crucial pieces of quantum mechanics (QM).
Couter examples to the general validity of Heisenberg's uncertainty relations Hadronic Journal, 1999, v.
Generalisation of uncertainty relations in Quantum Mechanics Proc.
On the uncertainty relations and squeezed states for the quantum mechanics on a circle.
Reply to the comment on "On the uncertainty relations and squeezed states for the quantum mechanics on a circle" J.
On the uncertainty relations and quantum measurements: conventionalities, shortcomings, reconsiderations.