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J. Biomedical Science and Engineering, 2010, 3, 1013-1020 JBiSE
doi:10.4236/jbise.2010.310132 Published Online October 2010 (http://www.SciRP.org/journal/jbise/).
Published Online October 20 10 in SciRes. http://www.scirp.org/journal/jbise
Foetal heart rate variability frequency characteristics with
respect to uterine contractions
Mario Cesarelli*, Maria Romano, Mariano Ruffo, Paolo Bifulco, Giulio Pasquariello
DIBET - University “Federico II”, Naples, Italy;
Email: firstname.lastname@example.org; email@example.com; firstname.lastname@example.org; email@example.com; firstname.lastname@example.org
Received 6 August 2010; revised 9 September 2010; accepted 13 September 2010.
Monitoring foetal health is important to appropri-
ately plan pregnancy management and delivery.
Cardiotocography (CTG) is one of the most em-
ployed diagnostic techniques. Because CTG inter-
pretation still lacks of complete reliability, new
methods of interpretation and parameters are nec-
essary to further support physicians’ decisions. To
this aim, indexes related to variability of foetal
heart rate (FHRV) are particularly studied. Fre-
quency components of FHRV and their modifica-
tions can be analysed by applying a time-frequency
approach, which allows for a distinct understanding
of the spectral components related to foetal reac-
tions to internal and external stimuli and their
change over time. Being uterine contractions (UC)
strong stimuli for the foetus and his autonomic
nervous system (ANS), it is worth exploring the
FHRV response to UC. This study analysed modi-
fications of FHRV frequency characteristics with
respect to 108 UC (relative to 35 healthy foetuses).
Results showed a statistically significant (t-test, p <
0.01) power increase of the FHRV in both LF and
HF bands in correspondence of the contractions.
Moreover, we observed a shift to higher values of
the maximum frequency contained in the signal
corresponding to the power increase. Such modifi-
cations of the FHRV power spectrum can be a sign
of ANS reaction and therefore represent additional,
objective information about foetal reactivity and
health during labour.
Keywords: Foetal Heart Rate, Uterine Contractions, Foetal
Cardiotocography (CTG) is one of the most diffused,
non-invasive pre-natal diagnostic techniques, in clinical
practice, to monitor foetal health, both in ante partum
(third trimester of pregnancy) and intra partum period. It
can be used from the 24th week of gestation to delivery.
However, in some countries, in clinical routine, it is
generally used from the 35th week and it is a medical
report with legal value .
In CTG monitoring, foetal heart rate (FHR) and uter-
ine contractions (UC) are simultaneously recorded by
means of two probes placed on the maternal abdomen (a
US Doppler probe for FHR signal and a pressure trans-
ducer for UC signal) .
Cardiotocographic data provide physicians informa-
tion about healthy foetal development. To assess foetal
health and reactivity, gynaecologists and obstetrics
evaluate specific clinical signs (average value of FHR,
number and kind of accelerations and decelerations in
FHR signal, intensity, though as relative and not absolute
values, and number of UC and their correlation with
FHR modifications, etc). Important physiological me-
chanisms, like thermoregulatory oscillations, matura-
tional changes with advancing gestational age, foetal
behavioural states and maternal drugs can influence
FHR patterns. In addition, clinicians generally make
their evaluation on the basis of an eye inspection of car-
diotocographic traces. The validity of the diagnostic
procedure is hence still limited by the lack of complete
objectivity and reproducibility. Moreover, even if CTG
monitoring has been proved to be useful in early detec-
tion of foetal distress and, in intra partum period, elec-
tronic foetal monitoring led to a considerable reduction
of mortality [1,3,4], it is not been found a significant
decrease of postnatal injuries, such as cerebral palsy .
Besides, some authors state that prenatal stress can pro-
voke changes in foetal endocrine and metabolic proc-
esses that can impact the later health of children and
adults  and that from oxygen deprivation during de-
livery, a rare but devastating event, lifelong disability
can result .
Unfortunately, non-invasive methods to measure di-
1014 M. Cesarelli et al. / J. Biomedical Science and Engineering 3 (2010) 1013-1020
Copyright © 2010 SciRes. JBiSE
rectly the foetal acid-base status and cerebral oxygena-
tion do not exist and clinicians have to rely upon indirect
measures. Therefore, more detailed information about
the foetal status is necessary and can be particularly
useful during the last period of gestation and labour.
To achieve this aim, several analysis methodologies
have been proposed in recent years [3,8-10]. In particu-
lar, great interest has been dedicated to the analysis of
FHR variability (FHRV), which, like so for adults, could
be a base for a more powerful, detailed and objective
analysis, both in ante partum and in intra partum period
[2,11-14]. The study of autonomic rhythms by FHR re-
cordings may provide a sight into the foetal development
of autonomic nervous system (ANS) .
Changes in FHR control, elicited by the ANS in re-
sponse to foetal hypoxia, were reported in literature [3,
15]. A UC is a strong compressive stimulus; it provokes
an acute hypoxic stress to the foetus and generally elicits
reactions in the FHR. It is well known that FHR decel-
erations are often associated with UC and that their
characteristics are of great interest for physicians .
Moreover, although the FHR is subject to numerous in-
fluences, UC is the only input which can be externally
monitored . Interest in studying UC reactions is also
outlined by recent studies in which UC were elicited by
an oxitocin challenge test to explore the consequent
blood flow changes [2,16,17]. In conclusion, it is worth
investigating FHRV modifications, which reflect reac-
tions of foetal ANS to UC, in order to have more com-
prehensive information about the insult and the foetal
ability to withstand it. This could provide additional and
objective information about foetal health and then sup-
port clinical diagnosis.
Concerning FHRV estimation, even if, as it is known,
it can be analysed both in time domain and in frequency
domain, the power spectral density (PSD) seems to be
the index that best recovers all the information present in
the heart rate (HR) series . Spectral analysis pro-
vides a tool for quantifying rather small changes in
FHRV in response to internal or external stimuli that
may remain undetected if only visual interpretation of
FHR tracings is used. Among most common methods
employed to estimate PSD, parametric and non-pa-
rametric, we can mention Short-time Fourier transform
(STFT); Auto Regressive methods (AR); Fast Recursive
least square algorithms (RLS) [2,12,14,19], wavelet
transform  and Lomb method .
Supported by previous results [1, 22], this study aimed
to analyse more in depth spectral modifications in the
FHRV signal (by means of STFT) in response to UC for
healthy foetuses, which may help in the understanding of
specific foetal reactivity, capability and modality of foe-
tal compensation to hypoxic stress, by using the natural
disturbance caused by UC. In particular, considering
physiological cases, we would highlight the specific
modification pattern of FHRV power spectrum, here
regarded as ANS response. In future works, this pattern
could be compared to patterns corresponding to patho-
logical conditions in order to define a new classification
2.1. Data Collection
CTG were recorded during routine foetal monitoring, in
an Italian public hospital, from 35 healthy pregnant
women (singleton pregnancies), close to delivery (33-42
gestation weeks), who did not take drugs and having no
known genetic malformations; subjects laid down in a
rest position. In line with clinical practice, CTG signals
lasting less than 20 min or excessively noisy signals
were excluded from our database (at the moment popu-
lated by about 600 CTG). 35 CTG recordings were
gathered for this study, 3 intra partum and the others
with evident UC. On average, CTG recordings have a
duration of about 30 minutes. At birth, Apgar scores,
birth weights and other information were collected in
order to involve in the analysis only CTG regarding
healthy foetuses: in particular, enrolled infants had Ap-
gar scores > = 7 at 1st minute and > = 9 at 5th minute,
birth weights (ranging from 2.7 to 4.25 Kg) appropriate
for the gestational age and no one needed neonatal in-
tensive care unit treatment.
Cardiotocographic signals were acquired using
HP-135x or Sonicaid cardiotocographs, equipped with
an ultrasound Doppler probe to detect FHR signals
(measured in beats per minute-bpm) and a pressure
transducer to record UC signals (measured in mmHg).
Both probes were placed upon maternal abdomen.
In HP cardiotocographs, FHR and UC signals are in-
ternally stored at 4 Hz (corresponding to a sampling in-
terval of 250 ms). On the contrary, in Sonicaid cardioto-
cograph, FHR and UC signals are unevenly stored. Both
devices provide a three-level signal which indicates the
‘quality’ of the received Doppler signal, which can result
optimal, acceptable or insufficient (the latter corre-
sponding to signal loss). In both cases, recorded data are
transferred to the output serial port of the device that was
connected to a laptop PC through a serial (RS232) con-
2.2. Signal Selection
CTG recordings with evident UC were chosen for the
analysis; as done in previous works of the authors [1, 22].
UC were selected respecting specific criteria in order to
reduce the physiological variability and to achieve a sort
of uniformity for the UC stimuli. In particular, only
M. Cesarelli et al. / J. Biomedical Science and Engineering 3 (2010) 1013-1020 1015
Copyright © 2010 SciRes. JBiSE
uterine contractions of pronounced amplitude (at least 40
mmHg with respect to the resting tone), isolated (at least
130 s must elapse between the end and the start of two
subsequent contractions), corresponding to good FHR
and UC signal quality were considered for the analysis.
About 100 UC, compliant with the above-mentioned
specifications were enrolled in the analysis.
In order to carry out a quantitative comparison be-
tween the FHRV power spectrum modifications related
to UC with respect to a reference condition, two kinds of
time segments of the same length (231 samples, about 57
s) were selected; let us call them: ‘reference-segments’,
chosen before the UC onset and ‘UC-segments’, chosen
in correspondence of the UC (slightly retarded with re-
spect to the UC apex) (please, refer to the previous pub-
lication for more detailed information ).
Figure 1 offers an example of CTG signals and cho-
Before FHR signal processing, it is worth mentioning
that, because CTG is acquired in a clinical setting, it is
subject to specific noises; for example, the loss of probe
contact can temporarily interrupt the recording. More-
over, FHR signals are intrinsically uneven series; each
FHR value is computed as inverse of the time between
two consecutive R waves, so that FHR values are avail-
able only when new heart beats occur. To obtain evenly
sampled series, some commercial cardiotocographs (e.g.
HP-135x) use a zero-order interpolation, that is each
sample is held constant until the next heart beat occurs.
This is an efficient solution for FHR time-domain
analyses (accelerations and/or decelerations detection,
etc) but can introduce alterations in the FHR power
spectrum [18,22]. To overcome these limitations, CTG
recordings were pre-processed, by means of an algorithm
previously developed by the authors, in order to select re-
liable FHR segments, to eliminate possible artifacts related
to the Doppler technique and, only when necessary, to get
rid of the zero-order interpolation [23-25].
2.4. FHRV Time-Frequency Analysis
According to literature and previous works [1,7,22], we
considered the FHR power spectrum mainly composed of a
DC component (average of the FHR), a very low frequency
(VLF) band (0-0.03 Hz) and FHR variability (FHRV) at
higher frequencies. Therefore, FHRV signals were obtained
evaluating (and then subtracting) components at lower fre-
quencies by means of a smoothing cubic spline.
After that, because of the non-stationary behaviour of
the FHRV signal, a time-varying frequency analysis by
means of STFT had been carried out considering sliding
Hamming windows of 128 samples (corresponding to 32
s) and using 99% overlap (window length was chosen
according to literature ).
Figure 1. Example of CTG recording (from the top, FHR and UC signals) during labour, subject #12—week 40th. It is possible to
recognise three UC, which were selected according to the required criteria. Couples of vertical dashed lines represent start and end of
reference segments and vertical solid lines represent start and end of UC segments.
1016 M. Cesarelli et al. / J. Biomedical Science and Engineering 3 (2010) 1013-1020
Copyright © 2010 SciRes. JBiSE
Finally, to concisely describe spectral modifications
against time, the power associated with LF (0.03-0.2 Hz)
and HF (0.2-1 Hz) bands was computed, for each time
instant, PLF (t) and PHF(t), as expressed by :
where, S (f, t) represents the time-varying spectral esti-
mation of the FHRV signal and T is the time interval
In order to highlight a common foetal ANS response
to UC in a physiological situation, we also performed an
average of LF and HF power signals (computed both for
UC and references segments).
2.5. FHRV Frequency Content
To further characterise PSD modifications of FHRV sig-
nals related to UC, we carried out an analysis to detect,
at each time instant, the maximum frequency bin con-
tained in the signal’s spectrum. To this aim, we used the
“Modified Crossing Threshold Method”, based on
D’Alessio’s algorithm [22,27,28]. The method considers
that the tail of the spectrum gives information on the
level of noise present in the signal, since white noise is
equally spread over all frequency. An estimation of the
noise made in the tail of the spectrum is then used for
setting a threshold. The magnitude of each bin of the
spectrum is compared with the threshold and when the
magnitudes of two successive bins are higher than the
threshold, the first bin is considered as the maximum
frequency bin. We evaluated the noise level using the
bins from 14 to 32 of a 128 FFT array (corresponding to
the frequency range from about 0.4 Hz to 1 Hz). The
selected frequency range to evaluate the noise depends
on the method used in evaluating the FHR and its spec-
trum array , which could substantially modify the far
tail of the spectrum. The algorithm threshold is com-
puted multiplying this estimation of noise for an integer
factor; we heuristically chose a value of 5, which means
that the probability value for which a sample crosses the
threshold is less than 1% in presence of only noise .
2.6. Statistic Analysis
A Student’s t-test was employed to check the statistic
separation between the analysed FHRV spectral popula-
tions (power in the different bands and frequency con-
tent of UC-segments and reference-segments; levels of
statistical significance were always set at p value <
For power estimation in HF band, we chose the fixed
range 0.2-1 Hz, without considering the computed vari-
able maximum frequency bin, in order to take into ac-
count noise contribution both for UC and ref segments.
As an example, Figure 2 reports a spectrogram Figure
2(a) of a FHRV time-frequency distribution, obtained by
STFT method, together with the corresponding CTG
signal (FHR in Figure 2(c) and UC in Figure 2(b)).
As illustrated by Figure 2(a) the FHRV power in-
creases in correspondence of UC.
It is worth noting that this increase does not corre-
spond, in the time domain, to a clear modification of the
floating-line (id est, in the FHR signal there are no al-
terations, such as accelerations or decelerations, that
could justify the power increase).
Furthermore, to present concise results, obtained av-
erage powers of LF and HF bands of FHRV power spec-
trum, estimated both for selected UC segments and ref-
erence segments, are reported in Table 1.
It is possible to note that average powers correspond-
ing to UC-segments are higher than average powers cor-
responding to reference-segments. Moreover, UC-seg-
ments population resulted significantly different com-
pared with reference-segments population for both FH
RV power spectrum bands (t-test).
Concerning the analysis of FHR frequency content,
results obtained by means of Modified Crossing Thresh-
old Method highlighted that an enlargement of the band
(shift to a higher value of signal maximum frequency bin)
corresponds to the power increase of FHRV PSD. The
following Figure 3 shows an example of obtained re-
sults about the comparison between the power increase
and the correspondent shift of signal maximum fre-
The average behaviour has been studied also in this
case and obtained results are reported in Table 2.
Our average results highlighted, in correspondence of
the UC, a percentage increase of the band, computed as
UC seg. value - REF seg. value100
REF seg. value, of about 27%.
Also in this case, UC-segments population resulted sig-
nificantly different compared with reference-segments
Cardiotocography is an established part of daily obstetric
practice, to monitor foetal health, mostly in the last
weeks of gestation. Clinicians regularly monitor FHR
and UC for signs of at-risk (or compromised) foetal con-
ditions. During labour, to assess foetal reactivity, atten-
tion is focused on FHR alterations (such as decelerations)
in correspondence to UC.
M. Cesarelli et al. / J. Biomedical Science and Engineering 3 (2010) 1013-1020 1017
Copyright © 2010 SciRes. JBiSE
Figure 2. Example of FHRV spectral modifications in correspondence of UC. From the top, spectrogram, evaluated by means of
STFT, and CTG signal of the subject #24 (UC in 2(b), FHR in 2(c)).
Ta b le 1. Powers in LF and HF bands, computed by means of
STFT, are reported for the UC and reference segments in bpm2.
Reported values represent average results computed on 108
segments, in brackets we report the standard deviation.
UC segments [bpm2] REF segments [bpm2]
Power of LF
band 459.44 (205.36) 183.72 (113.94)
Power of HF
band 164.15 (85.36) 81.53 (62.15)
CTG usefulness is undoubted; nevertheless, there is,
still nowadays, substantial intra- and inter-observer
variation in the assessment of FHR patterns, due mainly
to the visual inspection of CTG, which can lead to inter-
vention when it is not required or lack of intervention
when it is. Hence, several analysis methodologies (in
time domain, in frequency domain, with semi-automatic
software which compute specific time-domain parame-
ters, etc.) were proposed in recent years to improve reli-
ability and objectivity of CTG signals interpretation
This is still insufficient to certainly identify suspect or
ambiguous conditions. So, great interest was dedicated
to the FHRV. It is commonly accepted that the use of a
convenient technique for measuring and displaying beat
to beat fluctuations is of value for estimating the matura-
tion of ANS and the integrity of the nervous control of
heart rate . In particular, frequency analysis of
FHRV could be a useful, additional tool [8,12,30] both
in ante partum and in intra partum period.
A careful surveillance has to be dedicated to the intra
partum period; in fact, while labour is of short duration
in comparison to pregnancy, this period is of great risk
for the foetus . Intra partum stress can provoke
adaptive changes in foetal metabolic process that can
impact the future health of newborn. . Therefore, cli-
nicians regularly check FHR and UC to try to identify
foetal distress symptoms and adapt the extracting pro-
cedure for signs of at risk foetuses. In particular FHR
alterations in correspondence to UC are evaluated, to
assess foetal reactivity. However, it is well known that
there is still controversy over the interpretation of dif-
ferent FHR patterns and that objective clinical criteria to
recognise foetal distress by CTG data are still poorly
defined, especially during labour  and no clear con-
clusions are available so far. Positive predictive value of
abnormal intra partum FHR patterns for foetal acidemia
is only around 30% , whereas detection of foetal
distress, early in labour, may significantly improve
newborn’s health. Besides, literature regarding intra
partum CTG is much less rich than that about ante par-
tum CTG, mainly due to registration difficulties. There-
fore, it is important to try to obtain more reliable and
objective methods for CTG interpretation and for neo-
natal outcome prediction [16,17,33-37].
In this scenario, analysis of FHRV can provide addi-
tional, useful information related to the foetal ANS con-
trol of the heart and its compensation capability. Analo-
1018 M. Cesarelli et al. / J. Biomedical Science and Engineering 3 (2010) 1013-1020
Copyright © 2010 SciRes. JBiSE
Figure 3. Example of FHRV spectral modifications. From the top, frequency content, evaluated by means of the Modified Crossing
Threshold Method, power of the LF band, and CTG signal of the subject #18.
Table 2. Maximum frequency bin contained in the analyzed
signals both for UC segments and reference segments. Re-
ported values represent average results computed on 108 seg-
ments, in brackets we report the standard deviation.
UC segments [Hz] REF segments [Hz]
bin 0.218 (0.064) 0.172 (0.045)
gously as for adults, specific stimuli can alter heart
autonomic regulation and in turn generate specific modi-
fications in the HR, particularly evident in frequency
domain. Indeed, a UC is a strong compressive stimulus
 (intra-uterine pressure can become four times
stronger than basal pressure) that severely solicits the
immature foetal ANS. This stress causes reactions in the
FHR; one of the most evident is a FHR deceleration that
often is associated with a UC, which is an important sign
for physicians. Therefore, a more detailed study of the
reaction of foetal ANS to UC, such as FHRV spectral
modifications analysis, may help in the understanding of
specific foetal reactivity, capability and modality of foe-
tal compensation to hypoxic stress.
This work presents a study to investigate spectral
modifications of the FHRV in response to the external
stimulus represented by UC, for healthy foetuses, in or-
der to find, during labour, possible predictive informa-
tion about risky foetal conditions, before foetuses be-
We did not consider the gestational age (related to
ANS maturation), even if it is well known that consid-
erably affects the foetal hemodynamic responses to
stimuli and distress, because weeks of gestation, in all
our recordings, were in a range where it is possible to
disregard this factor as an additional cause of consider-
able FHR changes [18,39,40].
Clinical intra partum UC and FHR are very noisy sig-
nals prone to frequent sensor disturbances; however,
despite these conditions, the segment length required for
frequency analysis, as proposed in this work, is short
enough to overcome this problem.
Our results showed that a FHRV power spectrum
modification can be observed in response to UC stimulus.
In particular, a significant increase of the average power
(confirmed by a t-test, p < 0.01) during UC-segments
with respect to reference-segments is noted.
Moreover, we observed a shift to higher values of the
maximum frequency contained in the signal in corre-
spondence of the power increase. So that, we can con-
clude that the power increase is not due to a specific
band enlargement but is spread over all frequencies.
By literature it is known that, in general, a large vari-
ability reflects a healthy ANS and also chemoreceptors,
baroreceptors and cardiac responsiveness; while foetal
hypoxia, congenital heart anomalies and stress, cause a
decreased variability [3,4,41]. So, in healthy foetuses,
M. Cesarelli et al. / J. Biomedical Science and Engineering 3 (2010) 1013-1020 1019
Copyright © 2010 SciRes. JBiSE
we expected an evident modification in FHRV frequency
characteristics corresponding to a good capability of
reaction to UC stimulus.
Obtained results, according to that finding, should in-
dicate a foetal reactivity (in terms of FHRV power spec-
trum modifications with respect to the rest condition) to
mechanical compressive stimulus represented by UC for
healthy foetuses. Therefore, such spectral modifications,
being a sign of ANS reaction, could represent additional,
objective information about foetal reactivity and in turn
about foetal health during labour.
In a future perspective, it should be very interesting to
analyse not only the average behaviour of FHR spectral
modifications but also its trend during labour course in
order to evaluate the individual status of a foetus and
possibly to set an alarm threshold. Since foetal response
is probably due to number and frequency as well as in-
tensity of UC, it is important to establish a criterion for
an objective and standardised measure of the stimulus
intensity. In fact, let us remind that in cardiotocography
only a relative measure of UC is known.
However, these issues deserve a more detailed and
exhaustive analysis, mainly involving problematic preg-
nancies and cases of ascertained foetal distress, in order
to, considering foetal health situations as point of refer-
ence, to recognise specific spectral characteristics to
distinguish foetal well-being and foetal distress in order
to propose such methodology in daily clinical practice.
The Variability of the Foetal Heart Rate around its base-
line provides extremely significant information con-
cerning the cardiac and ANS activities and their func-
tional development during pregnancy up to labour. Our
results demonstrated important modifications in the PSD
of FHRV signals related to physiological stimulus rep-
resented by UC, both as power and frequency content,
proving that the FHRV time-frequency analysis could be
a very useful tool for a more objective and depth evalua-
tion of the foetal health. We would not expect to find
such modifications in cases of foetal distress; therefore,
if these results will be confirmed by the study of FHRV
signals recorded during risky pregnancies, information
about the capability of a foetus to react to stress during
labour course could be obtained by means of this ap-
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