It can therefore be expected that the (inverse) determination of V x) using the Fredholm Eq. (10) will amplify high frequency components (such as those stemming from measurement errors) in the measured "detector response" M. In practice, the Fredholm equation (10) must be discretized in order to determine V x).
Generally, we use the following formulation to evaluate the false negative error probability P2 of a synchronization code according to the bit error probability in the detector, denoted as Pd.
For practical applications, the "noise" will be determined mainly by the measurement setup (e.g. inaccuracies in the optode locations), model errors and the detector noise, whereas the additional numerical noise is negligible.
The positioning errors of the detector during measurements deviate mainly in one direction from the estimated calibration factors.
Referring to the watermark communication model as illustrated in Figure 10, it is worth noting that the introduction of the synchronization code will result in that bit error probability of a watermark in the detector Pd is different from that in the channel Pw. Figure 10 Error probability of the watermark in the channel ( P w ) and detector ( P d ).
Indeed, in spite of the lowest RISI power for PaIC/Viterbi-3 with the IOTA filter, the BER performance is limited because of the fact that the most likely error events in the Viterbi detector contain more than 3 errors.
For some instruments, it is combined with a pulse shaping double chopper, which defines a constant wavelength resolution, and a set of frame overlap choppers that prevent spurious neutrons from reaching the detector thus avoiding systematic errors in the calculation of wavelength from time of flight.
This method eliminates the geometrical errors in the experimental setup because convergence will occur, regardless of the detector distance or angle.
The source power fluctuation, wavelength drift and the detector noise might also contribute to the measurement errors in the system demonstrated.
Additionally, the sequential acquisition scheme of our PS-detector subjects us to larger errors in the measurement of phase as a result of phase drift.
