  Super oscillating signals are band limited signals that oscillate in some
region faster than their largest Fourier component. Such signals have many
obvious scientific and technological applications, yet their practical use is
strongly limited by the fact that an overwhelming proportion of the energy goes
into that part of the signal, which is not superoscillating. In a recent
article the problem of optimization of such signals has been studied. In that
article the concept of superoscillation yield is defined as the ratio of the
energy in the super oscillations to the total energy of the signal, given the
range in time and frequency of the superoscillations, which is imposed by
forcing the signal to interpolate among a set of predetermined points. The
optimization of the superoscillation yield consists of obtaining the Fourier
coefficients of the low frequency components of which the signal consists, that
maximize the yield under the interpolation constraint. Since in practical
applications it is impossible to determine the Fourier coefficients with
infinite precision, it is necessary to answer two questions. The first is how
is the superoscillating nature of the signal affected by random small
deviations in those Fourier coefficients and the second is how is the yield
affected? These are the questions addressed in the present article. Limits on
the necessary precision are obtained. Those limits seem not to be impractical.
