19FA_512_Individual_Research_Paper_63415_FINAL_A_Mechanical Engineering
docx
keyboard_arrow_up
School
University of Illinois, Urbana Champaign *
*We aren’t endorsed by this school
Course
512
Subject
Electrical Engineering
Date
Apr 3, 2024
Type
docx
Pages
13
Uploaded by ChiefDogMaster1047
Comparison of Active Dynamic Thermal Imaging (ADT) Method and Hyperspectral Imaging
Method for Quantifying Thermal Damage by High-Intensity Focused Ultrasound (HIFU)
University of Illinois at Urbana, Champaign
Abstract
High intensity focused ultrasound (HIFU) tends to be a powerful curing method for skin diseases
and tumors, since it is safe, fast and fewer or no side effects. During the treatment, ultrasound is concentrated to the target area and the temperature boosts immediately so that local unhealthy cells are killed. Regardless of many advantages, HIGU is still limited in application due to difficulty of giving instantaneous feedback. This paper compares two possible instant treatment assessment method, active dynamic thermography and hyperspectral imaging method, on feasibility, hardware, operation convenience and performance. Finally, the superior one is proposed.
Keywords
: HIFU, ADT, hyperspectral imaging
Comparison of Active Dynamic Thermal Imaging (ADT) Method and Hyperspectral Imaging
Method for Quantifying Thermal Damage by High-Intensity Focused Ultrasound (HIFU)
Ultrasound is a high frequency sound wave transferring via the medium. It is widely used
in industries and medication. For example, ultrasonic welding is commonly utilized in battery industries to join battery tab and bus. Doctors also use ultrasound to evaluate the situation of organs, such as kidney or bladder, to exclude certain diseases. Besides applications in auxiliary medical diagnosis, ultrasound can also be used for treatment to some diseases or even a powerful
way to remove tumors. Such therapy usually employs high intensity focused ultrasound (HIFU in
short) to convey the energy to target tissues. Propagated harmlessly, HIFU causes a temperature rise to cause the damage of those tissues without damaging surrounding or overlying cells (Haar & Coussios, 2007; Kim & Rhim, 2008; Banerjee & Dasgupta, 2010). Although HIFU is expected
to be a promising curing method for many skin diseases or cancers, there are still some problems it must address. One of those problems is how to evaluate the quality of the treatment efficiently and instantaneously. As was
mentioned previously, in HIFU therapy, local temperature rises dramatically in the target tissues so that unhealthy tissues are destroyed (Haar & Coussios, 2007). Such process is indeed a burning process. Thus, HIFU treatment can be considered as a local burn injury which will change the physical properties of target area, e.g. the physical properties like thermal conductance, specific heat capacity, and reflectance absorption spectrum. Hence, by quantifying the difference of the physical properties before and after HIFU treatment, the thermal damage by HIFU treatment, or the performance of therapy, can be accessed. Regarding the thermal aspect of
HIFU therapy, infrared thermal camera based method, active dynamic thermal imaging (ADT) and optical properties measurement based method, hyperspectral imaging seem to be possible
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
solution for instantaneous evaluation of HIFU treatment. In ADT method, a cold ice pack is applied to the target area. After removing the pack, a temperature rise history is recorded. Then the thermal properties are measured by fitting the temperature curve (Renkielska & Nowakowski, 2006). While in hyperspectral imaging method, light in different wavelengths is implemented to generate images. Those images are then subject to spatial-spectral analysis to obtain optical properties (Randeberg, 2010). In this paper, the potential of both ADT and hyperspectral imaging methods is compared for non-invasive assessment of thermal damage by HIFU treatment, based on tissue properties changed by HIFU treatment. It is found that ADT method appeared to be more promising than hyperspectral imaging method for quantifying thermal damage by HIFU therapy.
Comparison Between ADT and Hyperspectral
Feasibility of ADT System and Hyperspectral Imaging System
Feasibility of ADT for HIFU assessment
ADT method is a variation of traditional infrared thermography method, which has been widely applied in medical diagnostics of burns and wounds. Kaczmarek (2016) showed that in wounds area, the surface temperature distribution of a patient is affected by increased or decreased metabolism of burns, contributing to hot or cold spots formation. However, distribution of temperature on a patient may be strongly affected by his physical state as well as by external environmental conditions. Active dynamic infrared thermal imaging (ADT) is proposed in the case where information derived from infrared thermal imaging data results from measurements with active external excitation of a tested tissue (Renkielska & Nowakowski, 2006; Renkielska, 2014; Jaspers, 2017). In this method, not temperature but thermal tissue properties are of analysis value, allowing clear classification of the tested tissue.
To validate ADT method, Renkielska and Nowakowski (2006) implemented this technique to evaluate the burn depth and compared it with other methods while Jaspers (2017) verified the reliability of the thermal imager for the assessment of burn wounds. Since the main mechanisms of HIFU treatment are thermal and mechanical effects causing temperature increase of the target tissues, applying thermal tomography method offers real-time temperature monitoring during HIFU treatment, which may enhance safety and efficacy during HIFU treatment. Therefore, ADT, which shows changes of thermal tissue properties instead of changes in temperature distribution, can be used for quantitative objective assessment of thermal damage by HIFU treatment.
Feasibility of hyperspectral imaging system for HIFU assessment
Besides ADT method, hyperspectral imaging, which integrates conventional imaging and spectroscopy to provide both spatial and spectral information from an object, can also be used to probe tissue property change. Recently, it has been widely used for measurements and targeting of specific chromophores within skin tissue for biomedical applications. Randeberg et al (2010) studied the performance of hyperspectral imaging method for estimation of skin optical parameters. Parasca et al (2018) applied a new combination of hyperspectral imaging and spectral matrix analysis method for burn severity assessment. Their results further showed this method is capable of evaluating burn injury. Besides, when the heat is applied to the tissues, both
optical scattering and absorption coefficients increase on account of thermal dissociation of phospholipid cellular membranes and thermal denaturation of intracellular and extracellular protein. Considering the burn wound nature of HIFU treatment, as well as the change of optical properties in response to this, hyperspectral imaging should be able to use in assessment of HIFU
therapy. In addition to the precise measurement of optical properties, hyperspectral imaging
combines high spatial and spectral resolution in one modality, giving images with full spectral resolution in every pixel. This makes it a promising tool for quantify the changes of optical properties of treated area before and after HIFU treatment. Comparison of Hardware between an ADT System and a Hyperspectral Imaging System
System cost
To compare the potential for future medical applications, the cost of two systems is an important factor to be considered. ADT system is usually less expensive than a hyperspectral imaging system. The main component in a typical ADT system is just a thermal camera (Gutiérrez & José, 2019; Lodhi, 2019). However, a typical hyperspectral system consists of a light source, a hyperspectral imager and a white Teflon board (Randeberg & Larsen, 2010; Bjorgan & Randeberg, 2014). Though the price of a hyperspectral imager is almost the same as a
thermal camera, a hyperspectral system is more expensive than an ADT system due to required auxiliary devices, like a light source and a white Teflon board. Therefore, in terms of system price, ADT is superior.
System portability
In addition to the cost, system portability should also be considered. An ADT system is usually more portable than a hyperspectral imaging system. When applied ADT method, only a thermal camera is need. And the size of a thermal camera can be small. Though the size of a hyperspectral imager in a hyperspectral imaging system can be small, an additional light source is needed. Hence, ADT system is easier to carry than a hyperspectral system. Comparison of Operation Convenience between ADT Method and Hyperspectral Imaging Method
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
The operation of ADT method is more convenient than hyperspectral imaging method in clinical applications. In ADT method, two phases are contained: cooling phase and self-warming phase. Typical ADT experiment procedures can be described as follows: Firstly, ice pack is applied on the entire target tissue for 30-60 seconds to initial the thermal response, till surface temperature reaches the level of the room temperature. Then the ice pack is removed from the tissue. From this moment, a thermographic infrared camera is used to record the surface temperature of the tissue, typically the recovery phase equal three times of the cooling time (Renkielska & Nowakowski, 2006; Renkielska, 2014; Kaczmarek & Nowakowski, 2016). In contrast to the ADT method, hyperspectral imaging method contains more steps and a preparation step: Before image acquisition, a white Teflon board with a black marker was placed across the target tissue as a fiducial for focusing, and to provide a reflectance standard for later data calibration. The acquisition steps are summarized as follows (Wang, 2016; Zheng
, 2015).
1
)
After placing the white Teflon board with a black marker on the tissue, the hyperspectral imaging system was placed properly for imaging.
2
)
Turning on the light Source and acquiring the hyper-spectral images with the white Teflon board covering the tissue within the target wavelength range.
3
)
Removing the white Teflon board on the tissue and acquiring the hyper-spectral images of the tissue within the target wavelength range. The imaging session was performed in triplicate to reduce the measurement error.
4) Turning off the light source and acquiring the dark background images within the target wavelength range.
The whole data collection process of ADT method is expected to take less than 5 minutes.
However, hyperspectral imaging method needs 10 mins. By comparing the expected time and number of procedures of those methods, ADT is better in the sense of operation convenience.
Comparison of measurement performance between ADT method and hyperspectral imaging method
Spatial resolution.
ADT method has a better spatial resolution than hyperspectral imaging. Plane resolution in both ADT method and hyperspectral imaging method are high. The typical plane resolutions in
these two methods are 464*348 pixels, 640*480 pixels, 1024*768 pixels and 1280*1024 pixels (Szajewska, 2017; Gutiérrez, 2019). However, the depth resolution in hyperspectral imaging method is lower than ADT method. Due to the difference of detecting wavelength range, the detecting depth in ADT method is almost 5-10 times larger than hyperspectral imaging method, which is about 300-600 um (Lloyd, 2013; Lodhi, 2019). Therefore, ADT is preferable.
Thermal resolution in ADT method and spectral resolution in a hyperspectral imaging method.
Both thermal resolution in ADT method and spectral resolution in hyperspectral imaging method are high. The typical thermal resolutions in ADT method are ± 5%, ± 2%, and ± 1% of the detecting temperature range (Szajewska, 2017; Lloyd, 2013). The typical spectral resolutions in hyperspectral imaging method are 5nm, 2nm and 1nm (Gutiérrez, 2019; Lodhi, 2019). Although those numbers are not comparable since they belong to different categories, it can be concluded that both systems have very high accuracy.
Sensitivity and specificity
In terms of accuracy of thermal damage assessment, hyperspectral imaging is better than ADT. Renkielska et al. (2014) compared the performance of ADT method with clinical evaluation, static thermography, and histopathologic assessment for burn wound depth grading. The study was an in vivo experiment on domestic pigs, and a small number of patients. The results of the study showed an accuracy of 60.7% for clinical evaluation, 69.6% for static thermography, 83.0% for ADT, and 84.0% for histopathologic assessment, which indicated that ADT method was suitable for the qualitative and quantitative assessment of burn depth. While for hyperspectral imaging, an earlier study, conducted by Calin M et al. (2015), pointed out the value of hyperspectral imaging technique together with linear spectral unmixing model for burns characterization, which can help clinicians to distinguish the extent of thermal damage. Parasca, S. V. et al. (2018) compared the ability of this technique to create burning level colormap with laser Doppler imaging (LDI) as a golden standard. The results were very promising. The average overall classification accuracy of the proposed new method and LDI method were 92.17 ± 2.513% and 89.42 ± 2.276%, respectively (Parasca, 2018). Though hyperspectral imaging has a better accuracy (as high as 92.17%), the performance of ADT is good enough for the HIFU treatment.
Conclusions
HIFU is gaining its popularity in medical treatment for many tumors. Although ADT and hyperspectral imaging methods are focusing on different biological aspects, they are both promising tools for diagnosis of HIFU therapy. This paper compares two methods in system cost,
portability, operation convenience and measurement performance. Considering this, ADT method is superior than hyperspectral imaging method for quantifying thermal damage in clinical. Besides HIFU therapy, ADT method can also be applied for thermal damage assessment
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
of other hyperthermia treatment, like laser surgery and microwave radiology. Therefore, ADT deserves more research focus in quantification of therapy assessment. However, there are still a lot of potentials remaining to explore for both methods, attention should be paid equally on ADT
and hyperspectral imaging techniques for future work.
References
1, Haar, G., & Coussios, C. (2007). High intensity focused ultrasound: physical principles and devices.
International Journal of Hyperthermia
,
23
(2), 89-104. Retrieved from https://www.tandfonline.com/doi/full/10.1080/02656730601186138
2,
Kim, Y. S., Rhim, H., Choi, M. J., Lim, H. K., & Choi, D. (2008). High-intensity focused ultrasound therapy: an overview for radiologists.
Korean Journal of Radiology
,
9
(4), 291-
302. Retrieved from https://synapse.koreamed.org/DOIx.php?id=10.3348/kjr.2008.9.4.291&vmode=FULL
3, Banerjee, R. K., & Dasgupta, S. (2010). Characterization methods of high-intensity focused ultrasound-induced thermal field. In
Advances in Heat Transfer
(Vol. 42, pp. 137-177). Elsevier. Retrieved from https://www.sciencedirect.com/science/article/pii/S006527171042002X
4,
Renkielska, A., Nowakowski, A., Kaczmarek, M., & Ruminski, J. (2006). Burn depths evaluation based on active dynamic IR thermal imaging—a preliminary study.
Burns
,
32
(7), 867-875. Retrieved from https://www.sciencedirect.com/science/article/pii/S0305417906000374
5,
Renkielska, A., Kaczmarek, M., Nowakowski, A., Grudziński, J., Czapiewski, P., Krajewski, A., & Grobelny, I. (2014). Active dynamic infrared thermal imaging in burn depth evaluation.
Journal of Burn Care & Research
,
35
(5), e294-e303. Retrieved from https://academic.oup.com/jbcr/article-abstract/35/5/e294/4568826
6, Kaczmarek, M., & Nowakowski, A. (2016). Active IR-thermal imaging in medicine.
Journal of Nondestructive Evaluation
,
35
(1), 19. Retrieved from https://link.springer.com/article/10.1007/s10921-016-0335-y
7, Jaspers, M. E., Carrière, M. E., Meij-de Vries, A., Klaessens, J. H. G. M., & van Zuijlen, P. P. M. (2017). The FLIR ONE thermal imager for the assessment of burn wounds: Reliability and validity study.
Burns
,
43
(7), 1516-1523. Retrieved from https://www.sciencedirect.com/science/article/pii/S0305417917302206
8, Wang, C., Zheng, W., Bu, Y., Chang, S., Zhang, S., & Xu, R. X. (2016). Multi-scale hyperspectral imaging of cervical neoplasia.
Archives of Gynecology and Obstetrics
,
293
(6), 1309-1317. Retrieved from http://europepmc.org/abstract/med/26446578
9, Zheng, W., Wang, C., Chang, S., Zhang, S., & Xu, R. X. (2015). Hyperspectral wide gap second derivative analysis for in vivo detection of cervical intraepithelial neoplasia.
Journal of Biomedical Optics
,
20
(12), 121303. Retrieved from https://www.ncbi.nlm.nih.gov/pubmed/26220210
10, Randeberg, L. L., Larsen, E. L. P., & Svaasand, L. O. (2010). Characterization of vascular structures and skin bruises using hyperspectral imaging, image analysis and diffusion theory.
Journal of Biophotonics
,
3
(1‐2), 53-65. Retrieved from https://onlinelibrary.wiley.com/doi/abs/10.1002/jbio.200910059
11, Bjorgan, A., Milanic, M., & Randeberg, L. L. (2014). Estimation of skin optical parameters for real-time hyperspectral imaging applications.
Journal of Biomedical Optics
,
19
(6), 066003. Retrieved from https://www.ncbi.nlm.nih.gov/pubmed/24898603
12, Parasca, S. V., Calin, M. A., Manea, D., Miclos, S., & Savastru, R. (2018). Hyperspectral index-based metric for burn depth assessment.
Biomedical Optics Express
,
9
(11), 5778-
5791. Retrieved from https://www.ncbi.nlm.nih.gov/pubmed/24898603
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
13, Calin, M. A., Parasca, S. V., Savastru, R., & Manea, D. (2015). Characterization of burns using hyperspectral imaging technique–A preliminary study.
Burns
,
41
(1), 118-124. Retrieved from https://www.ncbi.nlm.nih.gov/pubmed/24997530
14, Szajewska, A. (2017). Development of the Thermal Imaging Camera (TIC) Technology.
Procedia Engineering
,
172
, 1067-1072. Retrieved from https://www.sciencedirect.com/science/article/pii/S1877705817306707
15, Lloyd, J. M. (2013).
Thermal Imaging Systems
. Springer Science & Business Media. Retrieved from https://www.springer.com/gp/book/9780306308482
16, Gutiérrez-Gutiérrez, J. A., Pardo, A., Real, E., López-Higuera, J. M., & Conde, O. M. (2019).
Custom scanning hyperspectral imaging system for biomedical applications: modeling, benchmarking, and specifications.
Sensors
,
19
(7), 1692. Retrieved from https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6479616/
1
7
, Lodhi, V., Chakravarty, D., & Mitra, P. (2019). Hyperspectral Imaging System: Development Aspects and Recent Trends.
Sensing and Imaging
,
20
(1), 35. Retrieved from https://link.springer.com/article/10.1007/s11220-019-0257-8
Related Documents
Related Questions
Explain the operation of clamping circuit.
In clamping circuits, what is the effect of adding a battery in series with the diode?
In designing clamping circuits, what should be the values of Resistor and Capacitor?
List at least 3 applications of waveshaping circuits?
arrow_forward
Using the image below, explain what is happening within a semiconductor solid. Include the following terms in your
explanation:
photoelectric effect,
• photon energy, and
• valence and conductor bands.
Image to dissect
-10-22 eV
Conduction
band
Band gap
p
alence
band
"Bands" are
composed of
closely spaced
orbitals
a
Interatomic distance
Energy
arrow_forward
True or False (No need for explanation)
1. LDR is an energy source whose output voltage varies in relation to the light intensity at its surface.
2. A thermistor is a two dissimilar metal alloys, joined in one end that measures temperature by the voltage across two other ends.
3. The error etween effective input and source voltage reflect the overall sensitivity of the system.
arrow_forward
Explain the characteristics of LDR?
What is the use of Multimeter in the experiment?
arrow_forward
Discuss the importance of print resolution and color depth in the context of professional-grade photo printers.
arrow_forward
What is Kelvin probe force microscopy (KPFM). How does it work and what information can be obtained from KPFM measurements?
arrow_forward
1. What are the main components that make up a photoresist? 2. What is a two-component resist? What are the two components? 3. What does the concept of dose involve? 4. What effect does the dose have on the molecular weight of a negativeresist? (Does it cause it to decrease or increase?5. Identify one problem that can arise when positive resist is applied to athermally grown oxide wafer (silicon substrate). How can this problembe resolved?
arrow_forward
(b) Measure (using the DVM and oscilloscope) the voltage drop Vc across the capacitor and explain the operation of the circuit.
the voltage drop Vc across the capacitor is 4.61V
please explain question b
arrow_forward
4 (a) “There are three types of optical fibers available for optic communication”. What are these three types and describe each. You may use diagrams to help you with your answers.
(b) Pin diodes and Avalanche photodiodes (APD) are detectors which are used to convert the transmitted light back into an electrical signal
I. Describe the operating principles of a PIN diode and an Avalanche photodiode
II. The quantum efficiency of APD is 80% for the detection of radiation at a wavelength of 0.9 μm. When the incident optical power is 0.5 μW, the output current from the device (after avalanche gain) is 11 μA. Determine the multiplication factor of the photodiode under these conditions.
(c) A silica optical fibre with a core diameter large enough to be considered by ray theory analysis has a core refractive index of 1.480 and a cladding refractive index of 1.44. Determine:
I. The critical angle at the core–cladding interface
II. The acceptance angle in air for the fibre.
arrow_forward
What are the differences between General purpose diode and Fast-recovery and Schottky diodes?
Standard Recovery Diodes
Fast Recovery Diodes
Schottky Diodes
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Related Questions
- Explain the operation of clamping circuit. In clamping circuits, what is the effect of adding a battery in series with the diode? In designing clamping circuits, what should be the values of Resistor and Capacitor? List at least 3 applications of waveshaping circuits?arrow_forwardUsing the image below, explain what is happening within a semiconductor solid. Include the following terms in your explanation: photoelectric effect, • photon energy, and • valence and conductor bands. Image to dissect -10-22 eV Conduction band Band gap p alence band "Bands" are composed of closely spaced orbitals a Interatomic distance Energyarrow_forwardTrue or False (No need for explanation) 1. LDR is an energy source whose output voltage varies in relation to the light intensity at its surface. 2. A thermistor is a two dissimilar metal alloys, joined in one end that measures temperature by the voltage across two other ends. 3. The error etween effective input and source voltage reflect the overall sensitivity of the system.arrow_forward
- Explain the characteristics of LDR? What is the use of Multimeter in the experiment?arrow_forwardDiscuss the importance of print resolution and color depth in the context of professional-grade photo printers.arrow_forwardWhat is Kelvin probe force microscopy (KPFM). How does it work and what information can be obtained from KPFM measurements?arrow_forward
- 1. What are the main components that make up a photoresist? 2. What is a two-component resist? What are the two components? 3. What does the concept of dose involve? 4. What effect does the dose have on the molecular weight of a negativeresist? (Does it cause it to decrease or increase?5. Identify one problem that can arise when positive resist is applied to athermally grown oxide wafer (silicon substrate). How can this problembe resolved?arrow_forward(b) Measure (using the DVM and oscilloscope) the voltage drop Vc across the capacitor and explain the operation of the circuit. the voltage drop Vc across the capacitor is 4.61V please explain question barrow_forward4 (a) “There are three types of optical fibers available for optic communication”. What are these three types and describe each. You may use diagrams to help you with your answers. (b) Pin diodes and Avalanche photodiodes (APD) are detectors which are used to convert the transmitted light back into an electrical signal I. Describe the operating principles of a PIN diode and an Avalanche photodiode II. The quantum efficiency of APD is 80% for the detection of radiation at a wavelength of 0.9 μm. When the incident optical power is 0.5 μW, the output current from the device (after avalanche gain) is 11 μA. Determine the multiplication factor of the photodiode under these conditions. (c) A silica optical fibre with a core diameter large enough to be considered by ray theory analysis has a core refractive index of 1.480 and a cladding refractive index of 1.44. Determine: I. The critical angle at the core–cladding interface II. The acceptance angle in air for the fibre.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,