Multiple-Embedded-System Optimization Layout for Electromagnetic Wave Power Density in Complex Environments

: Many embedded systems are implemented for healthcare, and smart homes and spaces. These devices are generally designed for elderly care, for monitoring, surveillance, and collection information. As embedded systems are ubiquitous and pervasive in a smart home, o ﬃ ce, or space, di ﬀ erent layout a ﬀ ects not only reduce the implementation cost but also the power density of electromagnetic waves. This study aimed to develop a multiple-embedded-system optimization layout to consume less electromagnetic wave power density and gain better communication strength. For smart o ﬃ ces, we analyzed the layout topology of n -shaped and n -shaped with door layout categories. On the basis of the location of each embedded system in a communication center via an n -shaped layout, we investigated the electromagnetic wave e ﬀ ect to the local, direct, and semidirect e ﬀ ects. Indirect and subindirect e ﬀ ects were also studied in the n -shaped layout with a door. In addition, we derived a set of formulas from the scope for the diverse e ﬀ ects to help users to quickly identify the scope of each e ﬀ ect. To verify the multiple-embedded-system optimization layout, 16 cooperating embedded systems with four test cases in a smart o ﬃ ce were used to evaluate the diverse e ﬀ ects of electromagnetic wave power density and communication strength. Experiment results showed that the optimization layout consumed 3950 × 10 − 6 W / m 2 electromagnetic wave power density.

in [2] that comprises a processor, memory, touch screen, display, and UART. It is an embedded e-book system with ARM9 CPU, 32 MB flash memory, a 3.5-inch touch screen, and audio UART. It reduced the design size and cost to smaller and cheaper than those of a personal computer. That is, each component in an embedded system is necessary while tasks are being executed. Consequently, one embedded system does not have any redundant components unless the function of a component is integrated into a microcontroller. Figure 1 shows diverse embedded systems with various peripherals to connect to miscellaneous sensors. One embedded system is demonstrated in Figure 1a that consists of a microcontroller with UART and I2C peripherals. The UART peripheral is generally used to implement RS-232 to connect two devices. It limits scalability due to merely connecting two devices. If an embedded system needs to connect more devices, a solution is adopting the I2C peripheral. Another embedded system is presented in Figure 1b that comprises a microcontroller, and UART and SPI peripherals. The SPI interface is faster than I2C is. Another embedded system is illustrated in Figure 1c that is composed of a microcontroller, UART, SPI, and SDIO. The SDIO interface can not only connect more devices. It also extends communication by wired or wireless protocols. Figure 2 shows four applications adopting the aforementioned embedded systems in a smart home, office, or space.
Energies 2020, 13, x FOR PEER REVIEW 2 of 17 embedded e-book system with ARM9 CPU, 32 MB flash memory, a 3.5-inch touch screen, and audio UART. It reduced the design size and cost to smaller and cheaper than those of a personal computer. That is, each component in an embedded system is necessary while tasks are being executed. Consequently, one embedded system does not have any redundant components unless the function of a component is integrated into a microcontroller. Figure 1 shows diverse embedded systems with various peripherals to connect to miscellaneous sensors. One embedded system is demonstrated in Figure 1a that consists of a microcontroller with UART and I2C peripherals. The UART peripheral is generally used to implement RS-232 to connect two devices. It limits scalability due to merely connecting two devices. If an embedded system needs to connect more devices, a solution is adopting the I2C peripheral. Another embedded system is presented in Figure 1b that comprises a microcontroller, and UART and SPI peripherals. The SPI interface is faster than I2C is. Another embedded system is illustrated in Figure 1c that is composed of a microcontroller, UART, SPI, and SDIO. The SDIO interface can not only connect more devices. It also extends communication by wired or wireless protocols. Figure 2 shows four applications adopting the aforementioned embedded systems in a smart home, office, or space.  There is a rising number of embedded systems that integrate sensors to work in a smart home. According to sensor market trends, it is expected that a massive number of sensors will be deployed in future households. Therefore, Klemenjak and Elmenreich [3] aimed to analyze user behavior and energy consumption. They presented an open-hardware energy measurement approach to reflect the power consumption of a certain appliance and impact on the environment. Visutsak and Daoudi [4] addressed smart home technology for the elderly, and proposed a specific smart home model with a selection of passive and active-intervention devices. In order for devices to communicate with each Energies 2020, 13, x FOR PEER REVIEW 2 of 17 embedded e-book system with ARM9 CPU, 32 MB flash memory, a 3.5-inch touch screen, and audio UART. It reduced the design size and cost to smaller and cheaper than those of a personal computer. That is, each component in an embedded system is necessary while tasks are being executed. Consequently, one embedded system does not have any redundant components unless the function of a component is integrated into a microcontroller. Figure 1 shows diverse embedded systems with various peripherals to connect to miscellaneous sensors. One embedded system is demonstrated in Figure 1a that consists of a microcontroller with UART and I2C peripherals. The UART peripheral is generally used to implement RS-232 to connect two devices. It limits scalability due to merely connecting two devices. If an embedded system needs to connect more devices, a solution is adopting the I2C peripheral. Another embedded system is presented in Figure 1b that comprises a microcontroller, and UART and SPI peripherals. The SPI interface is faster than I2C is. Another embedded system is illustrated in Figure 1c that is composed of a microcontroller, UART, SPI, and SDIO. The SDIO interface can not only connect more devices. It also extends communication by wired or wireless protocols. Figure 2 shows four applications adopting the aforementioned embedded systems in a smart home, office, or space.  There is a rising number of embedded systems that integrate sensors to work in a smart home. According to sensor market trends, it is expected that a massive number of sensors will be deployed in future households. Therefore, Klemenjak and Elmenreich [3] aimed to analyze user behavior and energy consumption. They presented an open-hardware energy measurement approach to reflect the power consumption of a certain appliance and impact on the environment. Visutsak and Daoudi [4] addressed smart home technology for the elderly, and proposed a specific smart home model with a selection of passive and active-intervention devices. In order for devices to communicate with each There is a rising number of embedded systems that integrate sensors to work in a smart home. According to sensor market trends, it is expected that a massive number of sensors will be deployed in future households. Therefore, Klemenjak and Elmenreich [3] aimed to analyze user behavior and energy consumption. They presented an open-hardware energy measurement approach to reflect the power consumption of a certain appliance and impact on the environment. Visutsak and Daoudi [4] addressed smart home technology for the elderly, and proposed a specific smart home model with a selection of passive and active-intervention devices. In order for devices to communicate with Energies 2020, 13, 4758 3 of 17 each other, the Internet of Things is usually adopted as the network technology. Florea et al. [5] addressed several standardized protocols with diverse networking levels on embedded devices to achieve low memory, processing power, and data rate. Chen et al. [6] also applied the Internet of Things to interconnect and have embedded systems and smart devices to collaborate in cyber-physical systems. In the smart-sensory-furniture (SSF) project of ambient assisted living, Bleda et al. [7] presented an SSF sensor layer for sensing massively distributed objects with energy limitations and other factors. Researchers such as Chen et al. [6], and Bleda et al. [7] expressed a need to process the awareness information from pervasive sensors because they adopted Internet of Things technology. Lalanda et al. [8] defined a self-aware solution relationship mechanism and proposed context-management software in a service-oriented pervasive environment. As opposed to software, Adiono et al. [9] presented prototyping for controlling devices in smart homes. Considering the shift from the smart home to an overall smart space, issues relating to interconnectedness, collaboration, monitoring, management, control, or power consumption have become more complex. Zeng et al. [10] proposed a system-level design approach for smart spaces that constrained cost and power consumption. Regarding it as a multiobjective issue, Deuri and Sathya [11] proposed the cricket-chirping algorithm, and validated their solution using multiobjective test functions. It was used to solve the disc brake and weld beam design problems. As a problem from multiple object functions evolves to multiple levels, Dutta and Datta [12] applied a combine-and-transform method to combine both levels of a multiobjective optimization problem to a single level. Zhou [13] presented a decomposition-based multiobjective tabu search algorithm for multiobjective unconstrained binary quadratic programming problems. The procedures included uniform weight-vector collection decomposed into an aggregation function set and tabu search. Experiment results showed that the proposed solution was effective in meeting its benchmarks.

Problem Formulation
A smart office usually splits spaces into business, work, or meeting room areas. A smart home has a few spaces, such as the living room, kitchen, bedroom, and dining room. These spaces generally have some embedded systems set up for collecting data, detecting smoke, or tracking objects for office protection or home care. From an architecture viewpoint, those embedded systems form distributed embedded systems with wireless services in different spaces to the communication center for transferring data. However, interfering substances such as walls, doors, furniture, beam columns, and electromagnetic radiation implicitly or explicitly affect communication strength between embedded systems and the communication center, resulting in each embedded system needing more electromagnetic wave power density for data transfer. Consequently, locations in different spaces of distributed embedded systems and the communication center, called the embedded system layout, require a good arrangement for better electromagnetic signal strength and less electromagnetic wave energy consumption. Moreover, in focusing on an embedded system layout, we assumed the following. First, due to electromagnetic radiation, electromagnetic wave power density through walls is classified into semidirect, indirect, or/and subindirect effects. Second, wall reflection and absorption were ignored because they are hard to identify. Third, electromagnetic wave power density was generated by the communication center and embedded systems. Lastly, the measured electromagnetic wave power density included the transmitter and received data.

Initial Measurement for Electromagnetic Wave Power Density
This work studies the embedded system-layout approach for better electromagnetic signal strength and less electromagnetic wave power density at smart offices. Figure 3 demonstrates an example of a multiple-embedded-system layout at a smart office with business, work, and meeting room areas for an indoor floor plane. Each embedded system was named S 0 , S 1 , . . . , and S 15 , respectively. The location Energies 2020, 13, 4758 4 of 17 and distance layout considered electromagnetic wave strength and power density. Electromagnetic waves are ubiquitous and they propagate energy through space. Two expressions, -dBm and power density, are frequently used to assess the electromagnetic wave effect.  The former is used to define electromagnetic signal strength in the microwave (MW) or radiofrequency (RF) field. It is generally represented as negative. The range from 0 to 80 -dBm represents electromagnetic wave strength. Being nearer to zero indicates better electromagnetic strength. The latter is used to evaluate the power consumption per transmitter area between source and receiver. Electromagnetic waves are ubiquitous in any environment. In order to investigate the original data of electromagnetic signal strength and power density, shown in Figure 3, we measured electromagnetic wave strength and power consumption per area at S0, S1, …, and S15 with a Wi-Fi analyzer [14], multiple-route optimization layout (MROL) applications, and a Tenmars TM-196 instrument [15]. We measured 16 different locations for two reasons: (a) each location was a candidate for setting up an embedded system, and (b) to analyze the effect of locations and distances for various layouts. On the one hand, the Wi-Fi analyzer, downloaded for free from the Google app store, could be used to detect the electromagnetic wave strength of a wireless access point in space. On the other hand, we developed the multiple-route optimization layout (MROL) application to obtain a better layout with better electromagnetic signal strength and less electromagnetic power density of embedded systems. Both applications were executed in an Android operating system of a mobile platform. Table 1 shows the results of the original data from Figure 3. The Location column represents the site of embedded systems. The Dist. column represents the distance between the communication center and embedded system. The -dBm column indicates the electromagnetic signal strength, and the Power Density column shows power consumption per area. Figure 4 shows the original data of electromagnetic wave power density for S0, S1, …, and S15. The former is used to define electromagnetic signal strength in the microwave (MW) or radio-frequency (RF) field. It is generally represented as negative. The range from 0 to 80-dBm represents electromagnetic wave strength. Being nearer to zero indicates better electromagnetic strength. The latter is used to evaluate the power consumption per transmitter area between source and receiver.
Electromagnetic waves are ubiquitous in any environment. In order to investigate the original data of electromagnetic signal strength and power density, shown in Figure 3, we measured electromagnetic wave strength and power consumption per area at S 0 , S 1 , . . . , and S 15 with a Wi-Fi analyzer [14], multiple-route optimization layout (MROL) applications, and a Tenmars TM-196 instrument [15]. We measured 16 different locations for two reasons: (a) each location was a candidate for setting up an embedded system, and (b) to analyze the effect of locations and distances for various layouts. On the one hand, the Wi-Fi analyzer, downloaded for free from the Google app store, could be used to detect the electromagnetic wave strength of a wireless access point in space. On the other hand, we developed the multiple-route optimization layout (MROL) application to obtain a better layout with better electromagnetic signal strength and less electromagnetic power density of embedded systems. Both applications were executed in an Android operating system of a mobile platform. Table 1 shows the results of the original data from Figure 3. The Location column represents the site of embedded systems. The Dist. column represents the distance between the communication center and embedded Energies 2020, 13, 4758 5 of 17 system. The -dBm column indicates the electromagnetic signal strength, and the Power Density column shows power consumption per area. Figure 4 shows the original data of electromagnetic wave power density for S 0 , S 1 , . . . , and S 15 . Table 1. Original data of signal strength and total electromagnetic wave power density for S 0 , S 1 , . . . , and S 15 . Note: MROL, multiple-route optimization layout.  Table 1. Original data of signal strength and total electromagnetic wave power density for S0, S1, …, and S15. Note: MROL, multiple-route optimization layout.  . Original data of electromagnetic wave power density for S0, S1, …, and S15.

Layout Topology
According to the results in Table 1, the location and distance layout affects -dBm and electromagnetic wave power density. Figure 5 demonstrates layout examples with many embedded systems, a communication center, and obstacles. Sign 0 in Figure 5a represents a communication center providing a wireless network service for all embedded systems. Sign 1 represents an embedded system that works for detecting, monitoring, or collecting data. In reality, location, distance, and also doors and walls may interfere with or block the communication path between Signs 0 and 1. The white square under the graph represents interference factors between Signs 0 and 1 such as air, temperature, humidity, and obstacles. While an embedded system transfers data through white squares via a green path, it may consume more power density than the red path does. Otherwise, to rearrange the layout of the communication center with a dotted line, and to a route with a red gain, less power consumption per area and better communication strength among embedded systems are needed. Rearranging a layout results in changes in the locations, distances, and obstacle paths between the communication center and embedded systems. Either -dBm or power density is affected. As an increasing number of embedded systems are deployed into smart homes or offices, the layout becomes more complex for locations, distances, and obstacles between the

Layout Topology
According to the results in Table 1, the location and distance layout affects -dBm and electromagnetic wave power density. Figure 5 demonstrates layout examples with many embedded systems, a communication center, and obstacles. Sign 0 in Figure 5a represents a communication center providing a wireless network service for all embedded systems. Sign 1 represents an embedded system that works for detecting, monitoring, or collecting data. In reality, location, distance, and also doors and walls may interfere with or block the communication path between Signs 0 and 1. The white square under the graph represents interference factors between Signs 0 and 1 such as air, temperature, humidity, and obstacles. While an embedded system transfers data through white squares via a green path, it may consume more power density than the red path does. Otherwise, to rearrange the layout of the communication center with a dotted line, and to a route with a red gain, less power consumption per area and better communication strength among embedded systems are needed. Rearranging a layout results in changes in the locations, distances, and obstacle paths between the communication center and embedded systems. Either-dBm or power density is affected. As an increasing number of embedded systems are deployed into smart homes or offices, the layout becomes more complex for locations, distances, and obstacles between the communication center and embedded systems. For example, Figure 5b-d illustrates the layout topology for three, six, and nine embedded systems in smart homes, offices, or other complex environments. Each layout shows two kinds of topologies in red and green. In fact, there are various layout topologies for each space. One can have multiobjective optimization with obstacles, better electromagnetic wave strength, and less electromagnetic effect.
Energies 2020, 13, x FOR PEER REVIEW 6 of 17 communication center and embedded systems. For example, Figure 5b-d illustrates the layout topology for three, six, and nine embedded systems in smart homes, offices, or other complex environments. Each layout shows two kinds of topologies in red and green. In fact, there are various layout topologies for each space. One can have multiobjective optimization with obstacles, better electromagnetic wave strength, and less electromagnetic effect.  Figure 3 shows a business area where some embedded systems were set up. The business area had three side walls, as shown in Figure 6, which we called an n-shaped layout. In practice, most designers set the location of a communication center at the center or near-center of an n-shaped space as shown in Figure 6a-c. For such a space, we analyzed the effect factors of electromagnetic waves as l1, l2, R, r1, r2, L, and W, which are depicted in Figure 7. For Figure 7a, l1 and l2 represent the length from the communication center to the edge of the left and the right side, respectively. R is the circle radius for electromagnetic waves. r1 and r2 are the lengths from the edge of the left and the right side, respectively, to the circumference. L and W are the length and width for the n-shaped layout, respectively. There were also five limitations. One was the floor that was limited in the same plane because the smart office only had two floors in this study. That is, either the upper or the lower floor did not need to be considered. Another limitation regards the entrance. Both the left and right walls of the n-shaped layout had an entrance to set up embedded systems, shown with a red circle. The front wall was not a way in or out, shown by the grid symbol. The other limitations were l1 < W, l2 < W, and l1 = l2 because the communication center was set at the center or near-center. Either l1 or l2 was variant, and they were the values corresponding to the location of the communication center.

Front
Right Left   Figure 3 shows a business area where some embedded systems were set up. The business area had three side walls, as shown in Figure 6, which we called an n-shaped layout. In practice, most designers set the location of a communication center at the center or near-center of an n-shaped space as shown in Figure 6a-c. For such a space, we analyzed the effect factors of electromagnetic waves as l 1 , l 2 , R, r 1 , r 2 , L, and W, which are depicted in Figure 7. For Figure 7a, l 1 and l 2 represent the length from the communication center to the edge of the left and the right side, respectively. R is the circle radius for electromagnetic waves. r 1 and r 2 are the lengths from the edge of the left and the right side, respectively, to the circumference. L and W are the length and width for the n-shaped layout, respectively. There were also five limitations. One was the floor that was limited in the same plane because the smart office only had two floors in this study. That is, either the upper or the lower floor did not need to be considered. Another limitation regards the entrance. Both the left and right walls of the n-shaped layout had an entrance to set up embedded systems, shown with a red circle. The front wall was not a way in or out, shown by the grid symbol. The other limitations were l 1 < W, l 2 < W, and l 1 = l 2 because the communication center was set at the center or near-center. Either l 1 or l 2 was variant, and they were the values corresponding to the location of the communication center.  Figure 3 shows a business area where some embedded systems were set up. The business area had three side walls, as shown in Figure 6, which we called an n-shaped layout. In practice, most designers set the location of a communication center at the center or near-center of an n-shaped space as shown in Figure 6a-c. For such a space, we analyzed the effect factors of electromagnetic waves as l1, l2, R, r1, r2, L, and W, which are depicted in Figure 7. For Figure 7a, l1 and l2 represent the length from the communication center to the edge of the left and the right side, respectively. R is the circle radius for electromagnetic waves. r1 and r2 are the lengths from the edge of the left and the right side, respectively, to the circumference. L and W are the length and width for the n-shaped layout, respectively. There were also five limitations. One was the floor that was limited in the same plane because the smart office only had two floors in this study. That is, either the upper or the lower floor did not need to be considered. Another limitation regards the entrance. Both the left and right walls of the n-shaped layout had an entrance to set up embedded systems, shown with a red circle. The front wall was not a way in or out, shown by the grid symbol. The other limitations were l1 < W, l2 < W, and l1 = l2 because the communication center was set at the center or near-center. Either l1 or l2 was variant, and they were the values corresponding to the location of the communication center.    Figure 7a presents a six-embedded-system layout in an n-shaped space. According to the results of the original data measurement in Table 1, we categorized electromagnetic signal strength and power density distribution into local, direct, and semidirect effects, shown in Figure 7b-d, respectively. First, the local effect is shown in Figure 7b, and it has three characteristics. (a) The embedded systems and communication center were located inside the n shape. Therefore, each embedded system could communicate with the communication center inside the n shape. (b) It was without obstacles between the communication center and embedded systems, obtaining better electromagnetic signal strength. (c) This regarded the electromagnetic signal coverage that was dependent on radiation angle a0 between embedded systems and the communication center. On the basis of the aforementioned characteristics, embedded systems in a local effect could gain the best electromagnetic signal and the least electromagnetic wave power density. The scope of the local effect can be seen in formula form below:

n-Shaped Layout
where h represents the height of triangle a1a0a2. Electromagnetic wave power density for embedded systems in a local effect can be evaluated with the sum of the number of embedded systems as follows: (2) where i represents the number of embedded systems.
Second, the direct effect that is illustrated in Figure 7c has three characteristics: (a) The location of the embedded systems. Embedded systems can directly transmit electromagnetic signals to the communication center because their locations have better electromagnetic signal strength. (b) It is without obstacles between the communication center and embedded systems. These two features are the same as those of the local effect, but the difference is in terms of location and distance. (c) The electromagnetic signal coverage is determined by the radiation angle from a0 to a2. As shown in Figure  7c, the area shape of the direct effect can be seen in formula form as follows:  Figure 7a presents a six-embedded-system layout in an n-shaped space. According to the results of the original data measurement in Table 1, we categorized electromagnetic signal strength and power density distribution into local, direct, and semidirect effects, shown in Figure 7b-d, respectively. First, the local effect is shown in Figure 7b, and it has three characteristics. (a) The embedded systems and communication center were located inside the n shape. Therefore, each embedded system could communicate with the communication center inside the n shape. (b) It was without obstacles between the communication center and embedded systems, obtaining better electromagnetic signal strength. (c) This regarded the electromagnetic signal coverage that was dependent on radiation angle a 0 between embedded systems and the communication center. On the basis of the aforementioned characteristics, embedded systems in a local effect could gain the best electromagnetic signal and the least electromagnetic wave power density. The scope of the local effect can be seen in formula form below: where h represents the height of triangle a 1 a 0 a 2 . Electromagnetic wave power density for embedded systems in a local effect can be evaluated with the sum of the number of embedded systems as follows: where i represents the number of embedded systems. Second, the direct effect that is illustrated in Figure 7c has three characteristics: (a) The location of the embedded systems. Embedded systems can directly transmit electromagnetic signals to the communication center because their locations have better electromagnetic signal strength. (b) It is without obstacles between the communication center and embedded systems. These two features are the same as those of the local effect, but the difference is in terms of location and distance. (c) The electromagnetic signal coverage is determined by the radiation angle from a 0 to a 2 . As shown in Figure 7c, the area shape of the direct effect can be seen in formula form as follows: where R represents the radius of circle X. Additionally, electromagnetic wave power density for embedded systems can be evaluated with the sum of the number of embedded systems as follows: where j represents the number of embedded systems in direct effect. Third, the semidirect effect is displayed in Figure 7d, which is the specific location in the neighborhood of r 1 and r 2 , respectively. It is called semidirect because the electromagnetic signal is interfered with by wall obstacles. In addition, the effect source may originate from either a local or a direct effect. Consequently, the area of the semidirect effect consisted of two scopes, as follows: where b 0 a 1 b 1 and c 0 a 2 c 1 represent the left and right sector, respectively. In addition, the electromagnetic wave power density of embedded systems can be evaluated with the sum of the number of embedded systems as follows: where k represents the number of embedded systems in semidirect effect. In summary, the optimization power density of the electromagnetic waves of embedded systems for an n-shaped layout is calculated using

n Shape with Door Layout
Except for needing to discuss the n-shaped space, another n-shaped space with a door is frequently seen in smart homes or offices. Figure 8 exhibits five kinds of n-shaped layouts with a door. Figure 8a-c demonstrates three kinds of n-shaped communication center layouts with a wider door. Figure 8d,e displays two kinds of communication center layouts in an n shape with a narrower door. We analyzed the effect factors for n-shaped layouts with a wider and narrower door, shown in Figure 9. Those effect parameters consisted of l 1 , l 2 , R, d 1 , d 2 , L, and W, depicted in Figure 9a. l 1 and l 2 are the lengths from the center of a circle to the edge of the left and right sides, respectively. R is the radius of the circle for electromagnetic waves. d 1 and d 2 represent the length of the left and right door, respectively. L and W are the length and width, respectively. There were also four limitations. The first is the same as that of the n-shaped layout that was addressed in Section 3.3. Second, it had an entrance to set up embedded systems behind the front wall. Third, either a wider or a narrower door was in the way of obstacles that could interfere with -dBm and power density. The fourth limitation was the communication center being set at the center or near-center. Figure 9a presents an n-shaped eight-embedded-system layout with a door space. We categorized electromagnetic signal strength and power density distribution into local, direct, semidirect, indirect, and subindirect effects. Figure 9b displays the local effect, whose characteristics were the same as those of the local effect of the n-shaped layout that was addressed in Section 3.3. According to Figure 9b, the scope of the local effect can be formulated as follows: where h represents the triangle height. In addition, electromagnetic wave power density for embedded systems could be evaluated with the sum of the number of embedded systems as follows: where i represents the number of embedded systems. Figure 9c demonstrates the direct effect with the same characteristics as those of the direct effect of the n-shaped layout. The scope is in formula form below.
where R represents the radius of circle X. In addition, electromagnetic wave power density for embedded systems can be evaluated with the sum of the number of embedded systems as follows.
where j represents the number of embedded systems in direct effect. Figure 9d demonstrates the semidirect effect that was located in the neighborhood of the direct effect. It consisted of the left and right sectors, respectively. Therefore, the scope could be formulated as follows: where b 01 b 00 b 02 and b 11 b 10 b 12 represent the left and right sectors, respectively. If d 1 = d 2 and l 1 = l 2 , the scope can be formulated as follows: In addition, electromagnetic wave power density for embedded systems can be evaluated with the sum of the number of embedded systems as follows: where k represents the number of embedded systems in semidirect effect. Figure 9e demonstrates the indirect effect that was located in the neighborhood of the local effect. It consisted of the left and right sectors, respectively. Therefore, the scope could be formulated as follows: where c 01 c 00 c 02 and c 11 c 10 c 12 represent the left and right sector, respectively. If d 1 = d 2 and l 1 = l 2 , the scope is as follows: In addition, electromagnetic wave power density for embedded systems can be evaluated with the sum of the number of embedded systems as follows: where m represents the number of embedded systems in indirect effect. Figure 9f demonstrates the subindirect effect that was located at L. It consisted of the left and right sectors, respectively. Therefore, the scope could be formulated as follows: ∠e 01 e 00 e 02 where e 01 e 00 e 02 and e 11 e 10 e 12 represent the left and right sector, respectively. If d 1 = d 2 and l 1 = l 2 , the scope could be formulated as follows: In addition, electromagnetic wave power density for embedded systems can be evaluated with the sum of the number of embedded systems as follows: where n represents the number of embedded systems in subindirect effect. The optimization power density of electromagnetic waves for an n-shaped layout with a door is calculated with Energies 2020, 13, x FOR PEER REVIEW 10 of 17 where e01e00e02 and e11e10e12 represent the left and right sector, respectively. If d1 = d2 and l1 = l2, the scope could be formulated as follows: In addition, electromagnetic wave power density for embedded systems can be evaluated with the sum of the number of embedded systems as follows: where n represents the number of embedded systems in subindirect effect.
The optimization power density of electromagnetic waves for an n-shaped layout with a door is calculated with  where e01e00e02 and e11e10e12 represent the left and right sector, respectively. If d1 = d2 and l1 = l2, the scope could be formulated as follows:

Experiment Results
In addition, electromagnetic wave power density for embedded systems can be evaluated with the sum of the number of embedded systems as follows: where n represents the number of embedded systems in subindirect effect.
The optimization power density of electromagnetic waves for an n-shaped layout with a door is calculated with   Figure 3 illustrates the smart office with business, work, and meeting room areas where a communication center C and 16 embedded systems S0, S1, …, and S15 were set up. We implemented resulting in them becoming candidates to rearrange the locations. Considering electromagnetic wave power density, all embedded systems consumed 7800 × 10 −6 W/m 2 .  Figure 10. Various effects for C1 and 16-embedded-system layout. Figure 11. Electromagnetic wave power density for C1 to S0, S1, …, and S15.

Experiment Results
The second test case is demonstrated in Figure 12, where C2 was set as the work area. The measured results of electromagnetic wave power density are demonstrated in Figure 13. This test case was used to evaluate the n-shaped layout with a door. In order to distinguish the effect from that of the n-shaped layout, the effect column in Table 2 was labeled in lowercase. S4 and S5 were located in the local effect area, resulting in the best communication strength gained, with 33 and 32 -dBm, respectively. S5 consumed the most electromagnetic wave power density, 7000 10 −6 W/m 2 , in comparison to other embedded systems due to its location being the nearest to C2. S1 was located in the direct-effect area that had better communication strength than that of S0. In comparison, with electromagnetic wave power density to S0, S1, and S0 consumed 50 and 100 10 −6 W/m 2 Figure 10. Various effects for C1 and 16-embedded-system layout. Figure 11. Electromagnetic wave power density for C1 to S0, S1, …, and S15.
The second test case is demonstrated in Figure 12, where C2 was set as the work area. The measured results of electromagnetic wave power density are demonstrated in Figure 13. This test case was used to evaluate the n-shaped layout with a door. In order to distinguish the effect from that of the n-shaped layout, the effect column in Table 2 was labeled in lowercase. S4 and S5 were located in the local effect area, resulting in the best communication strength gained, with 33 and 32 -dBm, respectively. S5 consumed the most electromagnetic wave power density, 7000 10 −6 W/m 2 , in comparison to other embedded systems due to its location being the nearest to C2. S1 was located in the direct-effect area that had better communication strength than that of S0. In comparison, with electromagnetic wave power density to S0, S1, and S0 consumed 50 and 100 10 −6 W/m 2 Figure 11. Electromagnetic wave power density for C 1 to S 0 , S 1 , . . . , and S 15 .
Because the first and second test cases had few candidates for rearrangement, the third and fourth test cases aimed to decrease the number of rearrangement candidates to improve the embedded system layout. Figure 14 shows the third test case that set up C 3 at the S 6 location. Embedded systems except for S 4 , S 5 , S 13 , and S 15 are discussed with regard to the n-shaped layout. From the viewpoint of -dBm in MROL in Table 3, values from 33 to 56 indicated that those embedded systems had better communication strength. On the other hand, considering S 4 , S 5 , S 13 , and S 15 with an n-shaped layout with a door, only S 15 had worse communication quality. Only one embedded system needed rearrangement. Considering electromagnetic wave power density, it consumed 3950 × 10 −6 W/m 2 for all embedded systems; measured results are illustrated in Figure 15. The final test case set C 4 at the S 3 location. Embedded systems except for S 4 , S 5 , and S 13 are discussed with regard to the n-shaped Energies 2020, 13, 4758 13 of 17 layout. The values of -dBm in MROL ranged from 35 to 73. There were three embedded systems, S 10 -S 12 , with worse communication strength that needed to be rearranged. Embedded systems with an n-shaped layout with a door had efficient enough communication strength to work.   local effect direct effect semidirect effect indirect effect subindirect effect room Figure 12. Various effects for C2 and 16 embedded system layouts. Figure 13. Electromagnetic wave power density for C2 to S0, S1, …, and S15.    . Electromagnetic wave power density for C2 to S0, S1, …, and S15.  Electromagnetic wave power density for C3 to S0, S1, …, and S15. Figure 15. Electromagnetic wave power density for C 3 to S 0 , S 1 , . . . , and S 15 . Considering electromagnetic wave power density, all embedded systems consumed 3995 × 10 -6 W/m 2 ; measured results are illustrated in Figure 16. On the basis of all test case results, the third test case had better electromagnetic wave strength and less of an electromagnetic effect.

Conclusions
Embedded systems with smaller, cheaper, and easier-to-implement characteristics are more popular for designing smart objects, devices, applications, or services. Recently, there has been an increasing number of functions, such as wired, wireless, or/and sensor peripherals that are integrated into embedded systems to provide interconnected and collaborating services. As diverse embedded systems are continually set and joined up to smart offices, either electromagnetic wave power density or the communication strength is a significant issue considering energy-saving or cooperation work for all embedded systems. This work studied the layout of multiple embedded systems for communication strength and electromagnetic wave power density optimization. Our prior works measured the original data of electromagnetic signal strength and power density for smart offices, shown in Figure 3. For the issue of electromagnetic signal strength, we analyzed deployment topology into an n-shaped layout and an n-shaped layout with a door in smart offices. In the n-shaped

Conclusions
Embedded systems with smaller, cheaper, and easier-to-implement characteristics are more popular for designing smart objects, devices, applications, or services. Recently, there has been an increasing number of functions, such as wired, wireless, or/and sensor peripherals that are integrated into embedded systems to provide interconnected and collaborating services. As diverse embedded systems are continually set and joined up to smart offices, either electromagnetic wave power density or the communication strength is a significant issue considering energy-saving or cooperation work for all embedded systems. This work studied the layout of multiple embedded systems for communication strength and electromagnetic wave power density optimization. Our prior works measured the original data of electromagnetic signal strength and power density for smart offices, shown in Figure 3. For the issue of electromagnetic signal strength, we analyzed deployment topology into an n-shaped layout and an n-shaped layout with a door in smart offices. In the n-shaped layout, we classified electromagnetic signal strength into local, direct, and semidirect effects, and their scope. Then, we defined a set of formulas to determine the effect of each embedded system. We presented local, direct, semidirect, indirect, and subindirect effects for an n-shaped layout with a door. Each effect was derived from the scope, and then defined a set of formulas. Those formulas can help users to quickly identify the scope of each effect while the communication center is set up. In the experiments, we measured each effect in either the n-shaped layout or the n-shaped layout with a door for four test cases. Experiment results indicated that the local effect had the best communication strength, but electromagnetic wave power density was critical. The direct effect had better communication strength and less consumption of electromagnetic wave power density than the semidirect effect did. By comparing the semidirect and indirect effects, the former generally had better communication strength than that of the latter. Regarding the subindirect effect, it consumed the least electromagnetic wave power density, but communication strength was the weakest among all effects. Lastly, a summary of the experiment results pointed to diverse effects with the optimization layout for embedded systems.
Funding: This research received no external funding.