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24 D. Maulik<br />

nomena. The autoregression method acts as a digital<br />

filter and assumes the signal at a given time to be the<br />

sum of the previous samples. In contrast to power<br />

quantification of the discrete frequencies in the FFT<br />

analysis, autoregression allows power quantification<br />

of all the frequencies of the spectrum. Moreover, it<br />

produces cleaner spectra and better frequency resolution<br />

than those generated by FFT processing.<br />

We have evaluated autoregressive (AR), moving<br />

average (MA), and autoregressive moving average<br />

(ARMA)-based spectral processing approaches as<br />

possible alternatives to the FFT analysis [10]. Compared<br />

to the FFT processing, these parametric techniques<br />

produce cleaner spectra. The AR model estimates<br />

maximum frequency well, and the MA model<br />

indicates velocities at which most scatterers (erythrocytes)<br />

travel. The ARMA shows the potential of producing<br />

superior spectral analysis by combining the<br />

advantages of the AR and MA models. These parametric<br />

methods depend on appropriate system identification<br />

of the data.<br />

Continuous-Wave Doppler<br />

Ultrasonography<br />

Fig. 3.7. Continuous-wave Doppler transducer<br />

A continuous-wave (CW) Doppler transducer continuously<br />

transmits and receives ultrasonic signals. A CW<br />

Doppler system essentially consists of a double element<br />

transducer for both emitting and receiving signals, a<br />

radiofrequency receiver amplifier for the acquisition<br />

and amplification of the electrical voltage signals from<br />

the receiving transducer, a voltage generator that provices<br />

the driving frequency of the emitting transducer<br />

and the reference frequency for the demodulator, a demodulator<br />

that extracts the Doppler shifted frequencies<br />

from the total echo signals, and a direction detector<br />

that completely separates the signals of the forward<br />

flow from those of the backward flow. Details of these<br />

components of Doppler signal analyses and subsequent<br />

spectral processing are described at the outset of this<br />

chapter. The transducer assembly encases two piezoelectric<br />

elements; one continuously emits ultrasound<br />

and the other continuously receives the backscattered<br />

echoes (Fig. 3.7). For most transducers, the emitting<br />

and receiving elements are either rectangular or halfcircle<br />

in shape. There may also be a concentric arrangement<br />

with a central circular element surrounded<br />

by a ring element. The elements are positioned in such<br />

a manner that their faces sustain a suitable angle to<br />

each other, and consequently there is an overlap between<br />

the transmitted ultrasound field generated by<br />

the emitting element and the sensitive zone for the receiving<br />

element.<br />

A CW Doppler setup does not have range discrimination,<br />

and any movement within the sensitive region<br />

causes backscattering and consequently Doppler<br />

shift of the incident beam. If the beam interrogates<br />

more than one vessel, the Doppler signals from all<br />

the vessels merge to form a composite display. The<br />

only discrimination that exists is that the signals from<br />

a deep location are more attenuated because of the<br />

longer transmission path through tissues. A CW system<br />

is sensitive also to the movements of nonhemodynamic<br />

objects in its path, such as pulsating vascular<br />

walls or moving cardiac structures. These sources<br />

of Doppler shift produce high-amplitude/low-frequency<br />

signals, which may overwhelm a receiver±amplifier<br />

of limited dynamic range. This situation leads<br />

to loss of important hemodynamic signals. The problem<br />

can be resolved by ensuring an extended dynamic<br />

range of the receiver and by use of an appropriate<br />

high-pass filter, as described above.<br />

Continuous-wave Doppler ultrasound instruments<br />

are used extensively in obstetrics for nonvelocimetric<br />

applications, such as fetal heart rate detection and external<br />

electronic fetal heart rate monitoring. For velocimetric<br />

applications, CW devices with a spectral<br />

analyzer are used for insonation of the umbilical arteries<br />

and often the uterine arteries. Despite the inherent<br />

absence of range discrimination, Doppler signals<br />

from the umbilical or uterine arteries can be obtained<br />

with relative ease. Moreover, the equipment is<br />

substantially less expensive than the duplex pulsed<br />

Doppler devices and requires less expertise to operate.<br />

However, CW Doppler instruments are infrequently<br />

used at present for fetal surveillance.

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