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Computational and Applied Mathematics Journal 2015; 1(3): 79-87 Published online April 30, 2015 (http://www.aascit.org/journal/camj) Keywords Ultrasound Imaging, Field-II Simulation, Computing Paradigm, Image Quality, Acquisition System Received: March 29, 2015 Revised: April 14, 2015 Accepted: April 15, 2015 Evaluation of Ultrasound Imaging for Biomedical and Industrial Applications: A Computing Perspective G. N. Ezeh, K. C. Okafor, G. H. Elisha, J. N. Iloabachie Dept. of Electrical Electronic Engineering, Federal University of Technology, Owerri, Imo State, Nigeria Email address [email protected] (G. N. Ezeh), [email protected] (K. C. Okafor), [email protected] (G. H. Elisha), [email protected] (J. N. Iloabachie) Citation G. N. Ezeh, K. C. Okafor, G. H. Elisha, J. N. Iloabachie. Evaluation of Ultrasound Imaging for Biomedical and Industrial Applications: A Computing Perspective. Computational and Applied Mathematics Journal. Vol. 1, No. 3, 2015, pp. 79-87. Abstract Ultrasound systems are widely used modalities for real-time imaging. This is due to its non-invasive and non-ionizing nature as such offering better flexibility. This paper presented classical theories on ultrasound imaging processing techniques from one dimensional to multidimensional systems. Theoretical concepts were explored while observing that the usability of the image obtained depends on the quality of the image displayed which is a function of the acquisition parameters. An optimization algorithm was developed for the system in this paper. The acquisition parameters are autotuned using an initialized algorithm to obtain the optimize parameters for image quality comparison. This approach gives an image quality rated 9 (90%) or 10(100%) on a scale of 10 (100%), which is widely acceptable. Also, this work addressed ultrasound acquisition system, as well as its modes of operation. In this regard, the system characterization was carried. Field-II simulation was used for result synthesis. Finally, the application areas of ultrasound imaging were discussed. 1. Introduction Ultrasound is acoustic (sound) energy in the form of waves having a frequency beyond the capacity of normal human hearing. Since the highest frequency that the human ear can respond to is approximately 20 thousand cycles per second (20 KHz), anything beyond this marks the end of the sonic range and now begins the ultrasonic range [1]. Typically, ultrasound systems operate in the 2MHz to 20 MHz frequency range, although some systems are approaching 40MHz for harmonic imaging (multiple frequency of the fundamental signal). Due to its non-invasive and non-ionizing nature and its flexibility, ultrasound (US) systems are a widely used modality for real time imaging. A high number of ultrasound systems applications are found in the biomedical fields. However, electronic, navigational, and security applications remain areas of important use. Ultrasound imaging is continuously growing in each of these fields. This is namely due to three reasons. The first one is linked to important advances in transducers technology. The second is the improvement brought by advances in digital technologies, and lastly advances in signal and image processing methods and technologies. The last one is the wide variety of applications in medical as well as in industrial areas [2], [3], [4].

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Page 1: Evaluation of Ultrasound Imaging for Biomedical and ...article.aascit.org/file/pdf/9280740.pdf80 G. N. Ezeh et al.: Evaluation of Ultrasound Imaging for Biomedical and Industrial Applications:

Computational and Applied Mathematics Journal 2015; 1(3): 79-87

Published online April 30, 2015 (http://www.aascit.org/journal/camj)

Keywords Ultrasound Imaging,

Field-II Simulation,

Computing Paradigm,

Image Quality,

Acquisition System

Received: March 29, 2015

Revised: April 14, 2015

Accepted: April 15, 2015

Evaluation of Ultrasound Imaging for Biomedical and Industrial Applications: A Computing Perspective

G. N. Ezeh, K. C. Okafor, G. H. Elisha, J. N. Iloabachie

Dept. of Electrical Electronic Engineering, Federal University of Technology, Owerri, Imo State,

Nigeria

Email address [email protected] (G. N. Ezeh), [email protected] (K. C. Okafor),

[email protected] (G. H. Elisha), [email protected] (J. N. Iloabachie)

Citation G. N. Ezeh, K. C. Okafor, G. H. Elisha, J. N. Iloabachie. Evaluation of Ultrasound Imaging for

Biomedical and Industrial Applications: A Computing Perspective. Computational and Applied

Mathematics Journal. Vol. 1, No. 3, 2015, pp. 79-87.

Abstract Ultrasound systems are widely used modalities for real-time imaging. This is due to its

non-invasive and non-ionizing nature as such offering better flexibility. This paper

presented classical theories on ultrasound imaging processing techniques from one

dimensional to multidimensional systems. Theoretical concepts were explored while

observing that the usability of the image obtained depends on the quality of the image

displayed which is a function of the acquisition parameters. An optimization algorithm

was developed for the system in this paper. The acquisition parameters are autotuned

using an initialized algorithm to obtain the optimize parameters for image quality

comparison. This approach gives an image quality rated 9 (90%) or 10(100%) on a scale

of 10 (100%), which is widely acceptable. Also, this work addressed ultrasound

acquisition system, as well as its modes of operation. In this regard, the system

characterization was carried. Field-II simulation was used for result synthesis. Finally,

the application areas of ultrasound imaging were discussed.

1. Introduction

Ultrasound is acoustic (sound) energy in the form of waves having a frequency

beyond the capacity of normal human hearing. Since the highest frequency that the

human ear can respond to is approximately 20 thousand cycles per second (20 KHz),

anything beyond this marks the end of the sonic range and now begins the ultrasonic

range [1].

Typically, ultrasound systems operate in the 2MHz to 20 MHz frequency range,

although some systems are approaching 40MHz for harmonic imaging (multiple

frequency of the fundamental signal). Due to its non-invasive and non-ionizing nature

and its flexibility, ultrasound (US) systems are a widely used modality for real time

imaging. A high number of ultrasound systems applications are found in the biomedical

fields. However, electronic, navigational, and security applications remain areas of

important use. Ultrasound imaging is continuously growing in each of these fields. This

is namely due to three reasons. The first one is linked to important advances in

transducers technology. The second is the improvement brought by advances in digital

technologies, and lastly advances in signal and image processing methods and

technologies. The last one is the wide variety of applications in medical as well as in

industrial areas [2], [3], [4].

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Basically, an Ultrasound image is obtained when a pulse of

ultrasound encounters a medium transition. In this case, part

of itis reflected forming echoes, while the rest penetrates.

Ultrasound pulses are assumed to propagate in straight lines,

resulting in echoes of various magnitudes along this line.

Different parts of a body can be interrogated by scanning in

different directions. An ultrasound image is created from an

array of such scan lines, revealing cross-sectional

information of the body noninvasively.

Thus, to sample a scan line of depth d into the object, each

ultrasound pulse needs to travel the same path twice, to and

from the transducer. With the propagation speed c of

ultrasound in the object, the time t for sampling of a scan line

of depth d is:

t � 2�

� (1)

Because each scan line cannot be sampled simultaneously

due to their interference with each other, the total sampling

time of an image with n scan lines is:

� � � � 2�

� (2)

In medical applications, the propagation speed of

ultrasound through soft tissue is approximately 1540m/s.

Thus, an ultrasound image with 512 scan lines of depth 10cm

will take at least 66.5ms to sample, restricting the maximum

frame rate to about 15 frames per second (fps). Also, in

recent years, more advanced image acquisition methods have

arisen, such as spatial compound imaging and coded

excitation, which involve different timing parameters.

Nevertheless, these calculations are a good approximation of

the frame rate for most ultrasound system [5].

2. Literature Review

Prior to World War II, Sonar (Sound Navigation and

Ranging), the technique of sending sound waves through

water and observing the returning echoes to characterize

submerged objects, inspired early ultrasound investigators to

explore ways to apply the concept to medical diagnosis. In

1929 and 1935, Sokolov studied the use of ultrasonic waves

in detecting metal objects. Mulhauser, in 1931, obtained a

patent for using ultrasonic waves, using two transducers to

detect flaws in solids. Firestone (1940) and Simons (1945)

developed pulsed ultrasonic testing using a pulse-echo

technique. Shortly after the close of World War II,

researchers in Japan began to explore the medical diagnostic

capabilities of ultrasound. The first ultrasonic instruments

used an A-mode presentation with blips on an oscilloscope

screen. This was followed by a B-mode presentation with a

two dimensional, gray scale image. Researchers learnt to use

ultrasound to detect potential cancer and to visualize tumors

in living subjects and in excised tissue [6]. Real-time imaging

is another significant diagnostic tool for physicians which

present ultrasound images directly on the system's Cathode

Ray Tube (CRT) screen at the time of scanning. The

introduction of spectral doppler and later color doppler

depicted blood flow in various colors to indicate the speed

and direction of the flow [7].

In [8], the authors investigated an aura based technique for

enhancing the quality of medical ultrasound images. An

algorithm was developed using aura transformation whose

performance was evaluated on a series of diseased and

normal ultrasound images. Various techniques have been

investigated for image processing in literature

[9],[11],[12],[13]. Most works are based on Basic Gray-Level

Aura Matrices (BGLAM) mathematical framework [14],

which is developed based on the aura concepts (i.e., aura sets,

aura measures, and aura matrices) [15].

In [16], the authors worked on ultrasound speckle

reduction in ultrasound imaging. This speckle reduces the

usefulness of ultrasound imaging due to the presence of this

signal dependant noise. Relevant models were articulated and

simulated. `

From the exiting works, imaging modes found in today’s

ultrasound system lacks homogeneous distribution. This

work will then use harmonic imaging as a new modality

where the B-mode imaging is performed on the second or

Nth harmonics of the imaging. It has been concluded that due

to the usual high frequency of the harmonic, these images

have higher resolution than conventional imaging [17].

However, due to higher loss, the depth of imaging is limited.

But, some modern ultrasound systems switch between

harmonic and conventional imaging based on depth of

scanning. This system imposes stringent linearity

requirements on the signal chain components [17].

3. Theoretical Concepts

3.1. Ultrasound Mode

A mode is an operational state that a system has been

switched to. A normal mode occurs when all parts of a

system oscillate with the same frequency. For ultrasound

imaging, different modes are used for examination be it for

medical or industrial use. The different types of mode can be

controlled by the operator or technician [6].

Fig. 1. A-Mode Display of an Ultrasound image [6]

i. A-Modeor Amplitude Mode: This is the display of

amplitude spikes of different heights. It is used for

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Computational and Applied Mathematics Journal 2015; 1(3): 79-87 81

ophthalmology studies to detect finding in the optic nerve. A-

Mode consists of x and y axis, where x represents the depth

and y represents the amplitude. Attenuation due to high

frequency is not a problem as the desired imaging depth is

small. The image in Fig1 shows an example of A-Mode

display.

ii. B-Mode (Brightness Mode): This involves transmitting

small pulses of ultrasound echo from a transducer into the

body. Unlike A-Mode, B-Mode is based on brightness with

the absence of vertical spikes. Therefore, the brightness

depends upon the amplitude or intensity of the echo. There is

no y-axis in B-Mode instead; there is a z-axis, which

represents the echo intensity or amplitude, and an x-axis,

which represents depth. B-Mode will display an image of

large and small dots, which represents strong and weak

echoes respectively. Fig 2 shows a typical B-Mode imaging.

Fig. 2. B-Mode Display of an Ultrasound image [6]

iii. M-Mode or Motion Mode (also called Time Motion or

TM-Mode): This is the display of a one-dimensional image

that is used for analysing moving body parts commonly in

cardiac and fontal cardiac imaging as shown in Fig 3. This

can be accomplished by recording the amplitude and rate of

motion in real time by repeatedly measuring the distance of

the object from the single transducer at a given moment. The

single sound beam is transmitted and the reflected echoes are

displayed as dotes of varying intensities thus creating lines

across the screen. Overtime, this is analogous to recording a

video in ultrasound.

Fig. 3. M-Mode Display of an Ultrasound Image [6]

Doppler Mode exploits the frequency shift due to relative

motion between two objects. With this approach information

regarding fluid velocity can be obtained. Doppler mode can

be obtained by continuous or pulsed wave; in addition,

velocity data can be shown as overlaying colour on B-Mode

images [7].

3.2. Signal Processing Techniques

Signal Processing involves techniques that improve the

understanding of information contained in received ultrasonic

data. Normally, when a signal is measured with an

oscilloscope, it is viewed in the time domain (vertical axis is

amplitude or voltage and the horizontal is time). For many

signals, this is the most logical and intuitive way to view

them. Simple signal processing often involves the use of

gates to isolate the signal of interest or frequency filters to

smooth or reject unwanted frequencies [18].The different

techniques are as follows:

3.2.1. One Dimensional Imaging- 1D

The main aim of 1D ultrasound (US) signal processing is

to extract some parameters from the ultrasound signal for

detection or estimation purpose. Flow velocity estimation is

an important matter of consideration. Doppler Principle and

Time of Flight Principle are two kinds of techniques used for

this purpose.

Blood flow in vessels and pipe fluid flow in industrial

applications can be accessed through analysis of the signal.

In this case, doppler signals are obtained by directing an

ultrasound beam to a moving flow containing backscattering

particles. The wave reflected from the particle is slightly

Doppler-shifted by the movement of the particles. In time of

flight technique, the velocity estimation does not require the

presence of particles in the flow. Transducers located on each

side of the flow are used to acquire the signal from two areas.

The flow velocity is evaluated by estimating time of flight of

the US in the fluid. Here, the velocity estimation is based

either on narrow band or wide band correlation techniques.

These kinds of velocity estimations are used in industrial area

namely for US flow meters.

Other areas of interest of 1D US signal processing are

Related to media parameter estimation such that US

attenuation or non-linear coefficient estimation through

analysis of radio-frequency signals and their time frequency

contents. Ultimately, rare event tracking also belongs to 1D

US signal processing.

3.2.2. Two Dimensional Imaging - 2D

US Image processing has been mainly centred on 2D

image manipulation. Basically, 2D US imaging systems

operate in Brightness-mode or B-mode. A typical B-mode

image is obtained from of a set individual radio-frequency

(RF) signals by filtering, envelope detection and then log

compression. This kind of processing as well as the

characteristics of the transducer and the materials may result

in low resolution either axially (in the direction of the US

beam) or laterally (in the perpendicular direction) through

blurring effects contributing to a poor quality image.

Improving 2D US image resolution is a major concern which

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has given rise to an important number of works. Many

directions have been followed; the two main being novel

transducer designs and signal processing improvement. If a

part of works use B-mode images, a great number of works

deal with RF signals since they contain the overall

information available on the imaged material and their

improvement leads to improvement of B-mode images. The

problem of 2D US image resolution improvement can be

expressed in terms of convolution.

3.2.3. Three Dimensional Imaging - 3D

The 2D US imaging has some intrinsic limitations

(although offers very acute understanding of the imaged

media); the main of which being 2D viewing of 3D structures.

This requires a reconstruction of actual 3D structures, which

is in some situations difficult to achieve. This can be

overcome by taking multiple scans of some particular

locations and to quantitatively analyzing them afterwards-

this is time consuming. 3D may thus be used to overcome

these limitations. The basic principle consists in the

acquisition of a volume data set. Most current methods

consist of acquiring a series of 2D images in a volume of

interest while moving the transducer using a motor. Many

relevant imaging techniques have been developed recently.

One important use of these techniques is currently the field of

“telemedicine”

3.2.4. Four Dimensional Imaging - 4D

The 4D US imaging is real-time 3D US imaging in which

time is taken as the fourth coordinate. The starting point of

3D/4D US imaging is, like in the 2D case, the acquisition

system [4], [19].

3.3. Ultrasound Acquisition System

All the devices, components, processors etc, involved in

the generation, detection and display of US signal is known

as Ultrasound Acquisition System as shown in Fig 4.The US

systems consist of five parts namely:

i. Transducer: The transducer is responsible for the

conversion of electrical pulses to mechanical vibrations and

the conversion of returned mechanical vibrations back into

electrical energy which is the basis for ultrasonic testing.

Thus, it is the active element and the heart of the acquisition

system [20]. The transducer may consist of one element

(which has to move) or of multiple elements for

multidimensional signal acquisition.

The typical working frequency depends on the materials

investigated by ultrasound. These frequencies are basically

less than 500 KHz in air and range from 1 MHz in some

liquids or biological tissue up to 50 or 100 MHz in some

special applications [21].

The active element is basically a piece of polarized

material. When an electric field is applied across the material,

the polarized molecules will align themselves with the

electric field, resulting in induced dipoles within the

molecular or crystal structure of the material. This alignment

of molecules will cause the material to change dimensions.

This phenomenon is known as electrostriction.

Fig. 4. Ultrasound Signal Acquisition System [6]

In addition, a permanently-polarized material such as

quartz (SiO2) or barium titanate (BaTiO3) will produce an

electric field when the material changes dimensions as a

result of an imposed mechanical force. This phenomenon is

known as the piezoelectric effect.

The active element of most acoustic transducers used

today is piezoelectric ceramic, due to their good piezoelectric

properties and their ease of manufacture into a variety of

shapes and sizes. The thickness of the active element is

determined by the desired frequency of the transducer. A thin

wafer element vibrates with a wavelength that is twice its

thickness. Therefore, piezoelectric crystals are cut to a

thickness that is 1/2 the desired radiated wavelength. The

higher the frequency of the transducer, the thinner the active

element. The primary reason that high frequency contact

transducers are not produced is because the element is very

thin and too fragile.

Fig. 5. A Piezoelectric Transducer [6]

ii. Transmitter/Receiver Beam former: This is the

electronic part which controls the US signal emission, beam-

forming, reception, and conditioning. It is a front end

processing [22].

Moreover it synchronizes the generation of the sound

waves and the reflected wave measurements. The controller

knows the region of interest in terms of width and depth. This

region gets translated into desired number of focal points per

scan line. The beam-former controller begins with the first

scan line and excites an array of piezo-electric transducers

with a sequence of high voltage pulses via transmit

amplifiers. The process of steering and focusing the sound

beam in an ultrasound system is commonly referred to as

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phased array beam forming. In this mode of operation,

multiple piezo-electric elements are excited with properly

time-delayed pulses and then become sensors to record the

reflected sound waves [11], [13].

Fig. 6. A Cross-Sectional View of US Transducer [17]

ii. Signal Conditioning and Acquisition: Signal

conditioning is defined to be any signal processing that

occurs only on a single scan line of beam formed RF data at a

time. This is known as mid-end processing.

iii. Signal Processing: To form the best quality ultrasound

images, it is often necessary to do a wide variety of

operations before displaying the information for human

observation. The exact processing and their order depend on

the overall system configuration and the processing that has

occurred at other parts of the system.

iv. Display System: The device/monitor that shows the

output/result of the entire US image acquisition system. The

output of the signal processing must be in such a form that is

compatible with the type of display used, otherwise the

essence of the tedious processing will not be achieved.

v. Material or Tissue under consideration: This is the

material or tissue under examination or investigation. The

exact processing depends on the US characteristics of the

materials and the type of information required. However, the

resulting signal or image quality that is its ability to restore

information existing in the material, depends (for a large part)

on the characteristics of the transducers such as central

frequency and bandwidth.

4. Mode of Operation

4.1. Parameter Synthesis

Ultrasound acquisition is a challenging task that requires

simultaneous adjustment of acquisition parameters. If the

acquisition parameters are not properly chosen, the resulting

image will have a poor quality. The parameters include:

• The depth

• The focus

• The frequency

• Its operation mode (General [GEN] or Tissue

Harmonics Imaging [THI])

For good quality image, these parameters should be

autotuned. Autotuning could be achieving by:

i. Hardware based systems for auto-tuning the acquisition

parameters which have been proposed, but were largely

abandoned because they failed to properly account for tissue

in homogeneity and other patient-specific characteristics.

ii. Software Based Systems for autotuning the acquisition

parameters which is based on image analytics inspired by the

autofocus capability of conventional cameras (autofocus in

digital camera optimizes a simple measure of image

sharpness over just one parameter, focal length) but is

significantly more challenging because the number of

acquisition parameters is large and the determination of good

quality images is more difficult to assess. Surprisingly, the set

of acquisition parameters which produce images of good

quality comprise a 1D manifold allowing for a real-time

optimization to maximize image quality. This approach starts

with a poor initial set of parameters and automatically

optimizes the parameters to produce high quality images.

4.2. Probe Design

In the proposal, a curvilinear probe enables larger tissue

penetration at the expense of anatomic image resolution. A

linear arrayed probe provides fine details but can only scan

superficial structures. Other hardware solutions include

introducing new materials to the sensors used in the

transducer and adaptive beam forming with its variations.

4.3. Software Based Design

This approach learns a low-manifold on which lie all

acquisition parameters that result in sonographer preferred

images. A machine learning system is trained to model the

image quality assessment given by experts and show how to

efficiently optimize the image quality (optimization of

acquisition parameters) over the low-dimensional manifold

of sonographer preferred parameters. In ultrasound

autofocusing, there are two challenges that must be addressed

include:

i. The development of a quality Q(I(x)) for the ultrasound

image. Here, let the configuration of ultrasound

parameters be denoted by x.

Let the image Acquired with x be denoted by I(x)

Let the quality of the image be represented by Q(I(x))

Now, the autotuning problem may be described by

Min� Q������ In the Autofocus for digital camera, x is simply the focal

length and Q(I(x)) is the image contrast.

The assessment of ultrasound image quality is a perception

characteristics that is, it is difficult to model with an explicit

formula, since it depends on several factors such as:

• Brightness

• Sharpness

• Contrast

• Resolution

• Whether the organ of interest is focus or not.

In the absence of an explicit formula for Q(I(x)), a

proposal to sample a range of images I(x) and learn the

Q(I(x)) mapping for perceptional quality was used. A support

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vector machine (SVM) regressor based on a set of

biologically inspired features was trained. The feature

extraction scheme uses a hierarchical approach that consists

of four layers of computational units, building an

increasingly complex and invariant feature representation by

alternating between simple S layers and complex C layers.

This hierarchical model is chosen as it emulates the object

recognition in the human visual cortex.

ii. The solution of one (i) above i.e. finding the optimal

parameter configuration x, that produce an image I(x)

with the maximum quality.

The major challenge in designing the ultrasound

autotuning is to optimize the image quality or choose the

parameter configuration that produces the best quality image.

A naïve solution may be to use a grid search for the

parameter configuration that optimizes the image quality.

However, this is very computationally very expensive and

cannot be performed in real-time acquisition systems. A key

insight to optimization is that the known relationship of the

acquisition parameter could be exploited to perform a search

over a lower-dimensional space of virtual parameters. As an

example of this relationship between acquisition parameters,

the physics of ultrasound dictates that a deeper focal depth

should require a lower frequency [23]. This was leveraged in

the optimization parameter consideration as applied in

Algorithm I

Algorithm I

Input: Default acquisition parameters x and the learned

manifold pairs (x,y). y is the representation of x on the

learned 1D manifold

Output: Parameter configuration that produces the best

quality image

Initialize xi to x and calculate Q(I(xi))

while Q(I(xi + 1)) > Q(I(xi)) do

1. Project the set of parameters xi to the lower dimensional

manifold using an interpolation of the k-Nearest Neighbors

(kNN) with k = 5, to obtain lower dimensional configuration

y.

2. Find ym the closest point to y on the manifold.

3. Take a small step t along the manifold to obtain the new

low-d parameters yi+1.

4. From the database of pairings (x,y), obtain the back

projection xi+1 that corresponds to the adjusted low-d

parameters yi+1. xi+1 is the new set of parameters in the

original parameter space.

5. Acquire a new image I(xi+1) and calculate Q(I(xi+1))

end

if Q(I(xi+1)) < Q(I(xi)) and direction of movement has never

been changed then Change the movement direction and

GOTO 1.

else

Terminate

end

Algorithm 1: Steps for automated tuning of ultrasound

acquisition.

5. Simulation

A computing perspective using a composite simulation

was adopted. This work used Field II program software tool

for the simulation of ultrasound imaging system. The

program consists of a C program and a number of MATLAB

m-functions that calls this program. All calculations were

performed by the C program, and all data were kept by the C

program. Three types of m-functions were used for:

i. Initializing the program: The routines are preceded by

“field_’’

ii. Defining and manipulating transducers: The routines are

preceded by “xdc_”

iii. Performing calculations: The routines are preceded by

“calc_”

The Field program system uses the concept of spatial

impulse responses primarily. The approach relies on linear

systems theory to find the ultrasound field for both the pulsed

and continuous wave case. This was done through the spatial

impulse response. This response gives the emitted ultrasound

field at a specific point in space as function of time, when the

transducer is excited by a Dirac delta function. The field for

this kind of excitation can is found by just convolving the

spatial impulse response with the excitation function. The

impulse response will vary as a function of position relative

to the transducer, hence the name spatial impulse response.

The received response from a small oscillating sphere is

found by acoustic reciprocity. In this case, the spatial impulse

response equals the received response for a spherical wave

emitted by a point. The total received response in pulse echo

is thus, be found by convolving the transducer excitation

function with the spatial impulse response of the emitting

aperture, with the spatial impulse response of the receiving

aperture, and then taking into account the electromechanical

transfer function of the transducer to yield the received

voltage trace.

To calculate the spatial impulse response for different

transducer geometries was very challenging, but the

simulation program circumvents this problem by dividing the

transducer surface into squares and then sums the response of

these squares to yield the response.

The time for one simulation was also a major concern. As

the squares making up the transducer aperture are small, it

was appropriate to use a far-field approximation, making

simulation simple. Another issue in keeping the simulation

time down is to use a low sampling frequency. Now, the

spatial impulse responses are calculated using sampling

frequencies in the Giga Hertz range due to the sharp

discontinuities of the responses. These discontinuities were

handled in the Field programs by accurately keeping track of

the time position of the responses and via the use of

integrated spatial impulse response as an intermediate step in

the calculations. As such, no energy is lost in the response,

which is far more important than having an exact shape of

the spatial impulse response. In this work, the Field program

achieves better by using 100 MHz sampling and approximate

the calculations, than using the exact analytic expression and

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GHz sampling. The simulation flowchart is shown in Fig 7.

The MATLAB script that defines each stage check is found

in [24], [25].

Fig. 7. Simulation Flowchart

6. Results

Fig. 8. Image of a cyst phantom scan at f0 = 3.5MHz

Fig. 9. Image of a cyst phantom scan at f0 = 4.0MHz

Figure 8 shows the image of a cyst phantom scan at

various frequencies (aperture centre frequency, f0). As shown

in Fig 8, the images obtained at f0 = 3.5MHz is clear enough

for one to identify the cyst phantom. By visual inspection, the

image with better particle definition is scanned at a centre

frequency, f0 = 4.0MHz; this is capture in Fig. 9.

From these images obtained through a linear transducer

aperture, it is clear that the higher the frequency the better the

quality of image obtained. But in practice there is a limit to

the maximum aperture centre frequency because it translates

to thinner transducer elements which cannot be reduce

beyond certain thickness.

7. Application

7.1. Food Technology

Until recently the majority of applications of ultrasound in

food technology involved non-invasive analysis with

particular reference to quality assessment. Such applications

use techniques that are similar to those developed in

diagnostic medicine, or non-destructive testing, using high

frequency low power ultrasound. Examples of the use of such

technologies are found in:

i. The location of foreign bodies in food

ii. The analysis of droplet size in emulsions of edible fats

and oils

iii. The determination of the extent of crystallization in

dispersed emulsion droplets

The relationship between measurable ultrasonic properties

of foods (velocity, attenuation coefficient and impedance)

and their physicochemical properties (composition, structure

and physical state) is the basis of the ultrasonic analysis. This

relationship can be established either empirically by

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preparing a calibration curve relating the property of interest

to the measured ultrasonic property, or theoretically by using

equations describing the propagation of ultrasound through

materials by monitoring the attenuation of an ultrasound

pulse has proved possible to determine the degree of

homogenization of fat within milk. The measurement of

ultrasound velocity in conjunction with attenuation can be

used to estimate the degree of emulsification in such

materials. It is possible to determine factors such as the

degree of “creaming” of a sample, i.e. the movement of solid

particles/fat droplets to the surface. Such information gives

details, for example, of the long term stability of fruit juices

and the stability of emulsions such as mayonnaise. The

combination of velocity and attenuation measurements shows

promise as a method for the analysis of edible fats and oil as

well as for the determination of the extent of crystallization

and melting in dispersed emulsion droplets [26].

7.2. Industrial Application

The applications include ultrasonic measurement of flow,

temperature, density, porosity, pressure, viscosity and other

transport properties, level, position, phase, thickness,

composition, anisotropy and texture, grain size, stress and

strain, elastic properties, bubble, particle and leak detection,

nondestructive testing, acoustic emission, imaging and

holography, and combinations of these. Principles,

techniques, equipment, and application data are summarized

for these areas. Most of the measurements utilize approaches

designed to respond primarily to sound speed, but some

depend on attenuation effects. Most equipment in use

involves intrusive probes, but noninvasive, externally

mounted. Transducers are being promoted in several areas.

Both pulse and resonance techniques are widely used.

Limitations due to the influence of unwanted variables are

identified in some cases [27].

7.3. Medical Application

Ultrasound imaging (sonography) uses high-frequency

sound waves to view soft tissues such as muscles and internal

organs. Because ultrasound images are captured in real-time,

they can show movement of the body's internal organs as

well as blood flowing through blood vessels.

In an ultrasound exam, a hand-held transducer is placed

against the skin. The transducer sends out high frequency

sound waves that reflect off of body structures. The returning

sound waves, or echoes, are displayed as an image on a

monitor. The image is based on the frequency and strength

(amplitude) of the sound signal and the time it takes to return

from the patient to the transducer. Unlike with an x-ray, there

is no ionizing radiation exposure with this test.

Ultrasound imaging is used in many types of examinations

and procedures. Some examples include:

i. Doppler ultrasound (to visualize blood flow through a

blood vessel)

ii. Bone sonography (to diagnose osteoporosis)

iii. Echocardiogram (to view the heart)

iv. Fetal ultrasound (to view the fetus in pregnancy)

v. Ultrasound-guided biopsies

vi. Doppler fetal heart rate monitors (to listen to the fetal

heart beat) [19], [20], [21].

8. Conclusion

Signal and image processing applications in industrial and

biomedical fields is evolving. Ultrasound imaging is a widely

used modality for real-time imaging because of its non-

invasive and non-ionizing nature. This paper has reviewed

the main ultrasound imaging systems and techniques from

1D signal to 4D images. In this work, theoretical and basic

analytical concepts were explored. The beam former design

is an excellent example of scalable approach of the US

design.

A computing algorithm was developed for parameter

optimization. A computing paradigm for US imaging of a

cyst phantom based on harmonic imaging via linear

transducer aperture was achieved. It was observed that this

transformation technique is relatively less expensive, simple,

and promising. The duration for processing the image is very

less. The processed ultrasound images were enhanced in

quality. The enhanced images may be used for predicting the

diseases inside the human body more effectively and

accurately. Future work will focus on:

- Investigating images obtained from other medical

imaging techniques are in the future plan.

- The modality of explicitly defining a function or

otherwise for image quality. In this research, this was based

on visual inspection which is not easy for machines to learn

and replicate the same behavior.

- An improved algorithm that will minimize the simulation

time, optimize significantly the challenging number of

acquisition parameters as well as help in the determination

of good quality images.

Also in the future work, a FPGA Vertex-5 [31] device will

be particularly used for US considering higher speed

sampling rate. Data Acquisition of Ultrasound Beam former

in this case will be achieved by DSP Blocks of FPGA blocks

using VHDL programming [32].

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