Instrumentation & Measurement Magazine 26-1 - 46

Fig. 6. Sine wave modeling by PCM, UBCM and BCM. (a) and (b) Objective functions comparison. (c) Comparisons of the fifth ordered f, fp
distribution of ep
, eub and eb under different n.
of the gauss function are set as a=1 and b=0, respectively. The
nonlinear modeling performance of the UBCM are evaluated
under different gauss nonlinearity by adjusting parameter c.
Weak Nonlinearity (c=2): For c=2, the gauss function has a
relatively larger RMS width and exhibit a weak nonlinearity, as
shown in Fig. 7c. The Op
and Ob decrease faster than that of Op
, Oub and Ob under different n ranging
from 2 to 10 are computed and compared in Fig. 7a. It reveals
that Oub
as n increases.
Fig. 7c reveals that fub and fb fit well with the f globally. However,
fp still exhibits some obvious calibration error. At the
range of about xϵ(-10,-5) and xϵ(5,10), fp shows a fluctuation
and produces periodical calibration error, which could be observed
in Fig. 7c and Fig. 7d. Fig. 7a and Fig. 7b reveal that the
UBCM has better calibration accuracy than that of the BCM,
since Oub
is smaller than Ob
. Oub/Op
and Ob
minimum of 0.025 and 0.052, respectively.
/Op
could achieve a
, and fb
. (d)-(f) The
Fig. 7. Gauss nonlinearity modeling by PCM, UBCM and BCM, when a=1, b=0 and c=2. (a) and (b) Objective functions comparison. (c) Comparisons of the fifth
ordered f, fp
, fub and fb. (d)-(f) The distribution of ep
46
, eub and eb under different n.
IEEE Instrumentation & Measurement Magazine
February 2023

Instrumentation & Measurement Magazine 26-1

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