1 Introduction

As one of the world’s top ten technologies,network sensor technology has been widely researched.The wireless sensor network(WSN)nodes were powered by the nonrechargeable battery which would severely limit the development of wireless sensor network techniques.Energy harvesting WSN(EHWSN)utilizes energy harvesting technology to collect the available energy in the environment to power the whole system,which can effectively reduce the energy limitation of the sensor nodes.

Unlike most of the energy sources,the raido frequency(RF)energy sources are continuously available in the atmosphere environment.However,the power density of space RF sources is very low[1].For example,when the distance from a China Mobile Communications Corporation(CMCC)GSM base station to the receiver is 60meters,the wireless power intensity is 5.25μW/cm2;when the distance from a China Unicom GSM base station to the receiver is 70meters,the wireless power intensity is5.94μW/cm2[2].Moreover,if the antenna aperture is 50 cm2,such wireless power that can meet the rectifying circuits is about22 dBm.

Previous works on RF harvesting circuits focused on a single operating frequency[3],[5],[6].When multiple RF energy sources are available,the amount of harvested energy can be increased if the system is designed to work in multiple frequency bands[4]as proposed in this paper.From theory analysis supported by simulation results and measurements,an ultra-low power(22 dBm)high-efficiency UHF-band wireless energy harvesting circuit has been designed to work at the GSM900 and GSM1800 bands.The GSM900 entire band is from 870 MHz to 960 MHz including up link(UL)and down link(DL)modes.The DCS1800 is from 1710MHz to 1880MHz(including UL and DL modes).Finally,the harvested energy is stored in the super capacitor through the energy management circuit BQ25570.

This paper is organized as follows.Section 2 presents the state of the art research progress and the rectifier impact on the multi-band RF harvester architecture.Section 3 explains the designed rectifier in the dual-band RF harvester and presents the dual-band RF harvester simulations.Section 4 shows the dual-band RF harvester experiments and measurements.Section 5 concludes this work.

2 State of the Art:Rectifier Impact on Multi-band RF Harvester Architecture

The goal of a wireless energy harvesting circuit(RF energy harvester)is to convert the RF energy received from ambient RF sources(GSM900/GSM1800 in this paper)into direct current(DC)power.A typical wireless energy harvesting circuit consists of a receiving antenna followed by an RF bandpass filter,a rectifier,a low pass filter,and a load.Many of the previous studies are single band RF harvesting circuits[3],[5],[6]while some other studies use multi-band RF harvesting circuits[4].However,when the operating frequency is changed from the optimal resonance frequency,a single-band harvesting circuit is not suitable to supply the sensor,since mismatching between the source and the rectifying circuits will degrade the rectification efficiency.In fact,the predominant frequencies may be different in different locations.Therefore,a multi-band energy harvesting circuit is more desirable.Some works have reported on multi-band structures[4],[7][13].This type of energy harvester benefits from the accumulation of RF radiation for several frequencies and a higher amount of energy can be harvested[9].

2.1 Dual-Band RF Harvester Topology Choice

In order to harvest energy from GSM900 and GSM1800 RF bands,several RF harvester topologies should be investigated.The main difference among these topologies is the design of RF bandpass filter.The role of the RF bandpass filter is to match the antenna impedance and the conjugate impedance of the rectifier circuit.In the previous studies,there are two common topologies,as shown in Fig.1a and Fig.1b.

In the first topology,the RF bandpass filter covers a large bandwidth;however,its shortcoming is significant.As we all know,the rectifier circuit input impedance with the antenna impedance varies as a function of the frequency and the incident power.The impedance mismatch will undoubtedly affect the RF-to-DC conversion efficiency.As shown in Fig.1a,the RF-to-DC conversion efficiency is 8%at1550MHz RF band,when the incident power is 20 dBm[11].However,this efficiency is15%in[8]with the same incident power and same topology,but at300 MHz RF band.Because our harvester is designed for GSM900 and GSM1800 bands,we cannot use this topology.

For the second one,its RF bandpass filter is a multi-band bandpass filter(Fig.1b),and many designs[6],[11],[13],[14]have used this architecture.The complexity of RF bandpass filter will affect the RF-to-DC conversion efficiency and make the circuit design more difficult.The filter components are important for obtaining the correct adaptations between the antenna and the rectifier.

There are several rectifier topologies which depend on the incident power and frequency(Fig.2).Fig.2a shows the series topology.This topology is suitable for the situations of low input power[12][14].Fig.2c is the Greinacher topology[7].This topology has a higher output DC voltage levels.However,it has twice as many diodes as a voltage doubler(Fig.2b)and four times more than a series rectifier.In the case of outdoor applications,the number of rectifier’s diodes must be limited as the RF density power is low,thus the Greinacher rectifier is not a good candidate.The voltage doubler topology is chosen to maintain high RF-to-DC conversion efficiency at low RF input power while maximizing the output DC voltage of rectifier.The voltage doubler topology has a higher output voltage than the series topology and helps implement cold/hot start of the subsequent DCDC boost devices,so that it gets the sensitivity of minimum input RF power and the voltage doubler’s diode number is just two.Based on these discussions,the voltage doubler topology is selected.

▲Figure1.Multi-band RF harvestersa)with only one designed broadband RF bandpass filter,b)for a multi-band bandpass circuit,and c)in the proposed architecture in this paper.

RF energy around multiple frequencies can be harvested by stacking several rectifier circuits.In this case,a structure for four bands with RF-to-DC efficiency up to 84%is proposed in[4].Based on the similar idea,Fig.1c illustrates the architecture proposed in this paper,which is for GSM900 and GSM1800 bands.The diplexer(a RF high-pass filter or a RF low-pass filter),the matching network,the rectifier,and the low-pass filter compose an RF branch(Fig.1c).In this paper,we will not focus on the design of the dual-band antenna.The input of a diplexer is connected to a single access dual-band antenna,in order to match two parallel rectifiers at the dedicated frequencies.This structure is more compact.There is a matching network circuit between the diplexer and rectifier in each branch to allow the maximum energy to reach input of the rectifier to improve the RF-to-DC conversion efficiency.Finally,the rectifier branch DC output is connected to the load(one independent load for each or a shared one).Any RF signals must be blocked by a low-pass filter which is connected at the end of rectifier,so this structure only allows the DC component to pass through.

2.2 Voltage Doubler Rectifier Topology Choice

在文献[1]的基础上，用热力学方法优化分析了中冷回热再热不可逆闭式三级燃气轮机循环系统，在一定总压比条件下，有一个最佳压比πout使取得双重最大功率和效率有一个最佳的高低温侧换热器、回热器和中冷器的热导率和中间压比分配方法，可以使系统达到最大循环的输出功率.对热导率进行最优分配,可以合理分配给定循环功率条件下各换热器的面积，使其总尺寸最小化.对中间压比进行优化,有助于设计或选用合适的低、高压压气机.与不可逆闭式中冷回热燃气轮机循环[3]相比，量纲-功率从0.58增大到3.10，所以对不可逆闭式中冷回热再热三级燃气轮机循环研究具有很大意义.

美国由于花样游泳发展得早，普及条件也比较好，目前它的水平在世界上居领先地位，但是，另外几个国家也具有相当的实力。

▲Figure2.Three topologies of rectifier:a)series,b)voltage doubler,and c)Greinacher.

3 Dual-Band RF Harvester Design and Simulations

The ultra-low power high-efficiency UHF-band wireless energy harvesting circuit(Fig.3)consists of five major parts:diplexer,matching networks,rectifiers,BQ25570 and its peripheral circuit diagram,and super capacitor.

3.1 Diplexer Design

The diplexer consists of a high-pass filter and a low-pass filter and is located between the antenna and the matching network.The ambient RF energy is divided into two parts,respectively located in the GSM 900 MHz and GSM 1800 MHz bands after RF energy through the diplexer.Since this novel design will not reduce the incident energy of each branch,it can improve the RF-to-DC conversion efficiency and output voltage.

To validate the approach described in the previous section,the following experiments were performed.

3.2 Diplexer Simulation Setup in ADS

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图2是磁性纤维素的扫描电镜图和透射电镜图，由图2 (a-c)可见改性磁性纤维素的表面形貌粗糙，层状结构明显。这可能是由于Fe3O4的引入，使得其表面变得粗糙[17]。图2 (d)所示为磁性纤维素的透射电镜图，由图可知Fe3O4粒子整体分散较好，均匀的分散在磁性纤维素中[18]。

The return loss of the diplexer circuit’s RF input port is larger than 18 dB in the 1003000 MHz band,larger than 22 dB in the GSM900 band,and larger than 18 dB in the GSM1800 band.Furthermore,the return loss of the RF output port(GSM900 band)is larger than 20 dB,while the insertion loss of the input port and the RF output port(GSM900 band)is less than 0.3 dB.The return loss of the RF output port(GSM1800 band)is larger than 17 dB,while the insertion loss of the input port and the RF output port(GSM1800 band)is less than 0.3 dB.Finally,the minimum isolation between RF GSM900 output port and GSM1800 output port is greater than 8 dB(11001500MHz).

3.3 Matching Network Design

We next focus on the design of the matching network.Thanks to the maximum power transfer theory,the highest power can be transferred to the load if the source and load complex impedances are complex conjugates.This is achieved by means of an impedance matching network placed between the diplexer and the rectifier.Whenever a source or a load has a reactive component,the adaptation depends on the frequency for which it is designed.The most frequently used matching networks are the Ltype,the Пtype and the Ttype networks[14].With the aid of ADS,we get the Ttypematching network for GSM900 and theПtypematching network for GSM1800,and the specific parameters are shown in Fig.3.

The diplexer was simulated using the Advanced Design System(ADS)software from Agilent Technologies.

▲Figure3.Wirelessenergy harvesting circuitschematic diagram.

3.4 Matching Network Simulation Setup in ADS

These matching networks were simulated by ADS and the simulation results are shown in Fig.4.

Based on the simulation results,the return loss(S11)of the GSM1800matching network and that of the GSM900matching network are larger than 13 dB in the GSM900/GSM1800 band.

3.5 Dual-Band RF Harvester Design

In order to obtain higher rectification efficiency from low power incident RF sources,we choose onestage voltage doubler rectifier circuits.The overall design of the dual-band RF harvester is shown in Fig.3.At the end of the rectifier in the figure,a Zener diode is connected parallel to limit the voltage for protecting the follow up circuit.Finally,the end of the circuit is an 8.66 kΩload.Wemust point out that the resistance is only required under the test environment and it is not included in the actual tag.

▲Figure 4.a)The simulation results of GSM 1800matching network;b)the test results of GSM 1800matching network;c)the simulation results of GSM 900matching network;d)the test results of GSM 900matching network.

3.6 Dual-Band RF Harvester Simulation Setup in ADS

Fig.7 shows the RF-to-DC conversion efficiency of the combined GSM1800 and GSM900 branches varies with the changes of the input power.

▲Figure5.The RF-to-DC conversion efficiency of the GSM 900/GSM 1800 branch varies with the input power.

Based on the simulation results,when the RF incident power is greater than14 dBm,the DC output voltage of GSM900MHz rectifier circuit in the 850950 MHz bandwidth is greater than 0.365 V,and the efficiency is higher than 39%.This voltage meets energy management circuit BQ25570’s cold start condition.The DC output voltage of GSM1800MHz rectifier circuit in the 18001860 MHz bandwidth is greater than 0.370 V,and the efficiency is higher than 40%.This voltage also meets energy management circuit BQ25570’s cold start condition.

3.7 DCDC Boost and Energy Management Circuit

The DCDC boost and energy management circuit use two BQ25570s as core components,and the input ports are connected to the output of GSM900 rectifier circuit and the output of GSM1800 rectifier circuit,respectively.The output is the power supply for other chips.These two BQ25570s’pin VBATs are connected in parallel toa 6.8mF super capacitor.

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To prevent rechargeable batteries from being exposed to excessive charging voltages and to prevent overcharging a capacitive storage element,the over voltage(VBAT_OV)threshold level can be set based on(1)using two external resistors(ROV1,ROV2),where VBIAS=1.21 V.

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Battery voltage within operating range(VBAT_OK Output)can be set based on(2)and(3)through external three resistors(ROK1,ROK2,ROK3).

The OUT regulation voltage(VOUT)is then given by(4):

The VOUT output pin can be used directly as the supply voltage for other chips without the aid of low dropout regulator(LDO).

4 Dual-Band RF Harvester Experiments and Measurements

This diplexer circuit is to divide the GSM900/GSM1800 signal energy collected by antenna into two branches:the 870960MHz output connected to the GSM900 rectifier circuit and the 17101860 MHz output connected to the GSM1800 RFDC rectifier circuit.The input and output impedance of the diplexer is matched to 50Ω.

4.1 Diplexer Measurements

The diplexer was tested using the vector network analyzer.The diplexer has three ports,one input port and two output ports.We used a vector network analyzer and a 50Ωload to experiment.

本次收治的胸腹部占位性病变60例患者，全部取得病灶组织，且全部穿刺成功，阳性诊断准确率达到了100%。细胞学与病理学诊断为：10例腺癌（16.67%），17例肺鳞癌（28.33%），7例小细胞肺癌（11.67%），1例淋巴瘤（1.67%），1例炎性假瘤（1.67%），1例胸腺瘤（1.67%），2例恶性间皮瘤（3.33%），2例肝转移瘤（3.33%），2例肝癌（3.33%），6例肾转移癌（10.00%），11例肾透明细胞癌（18.33%）。未发现严重并发症，肺内少量出血2例，极小区域局限性气胸2例，未做特殊处理，3d后进行CT复查，气胸、出血症状均消退。

Then,we tested the RF-to-DC conversion efficiency of the GSM1800 branch.The test system is built as shown in Fig.6a.We connected the signal source directly to the input port of the GSM1800’s matching circuit,and then used the multimeter to observe the voltage on the load which was connected at the end of the GSM1800 branch to calculate the RF-to-DC conversion efficiency.

4.2 Matching Network Measurements

The matching network was tested using the same vector network analyzer.The front end of the matching network was connected to the vector network analyzer,and the back end of the matching network was connected to the rectifier circuit and the load.Therefore,S11 represents the degree of matching.Fig.4 shows the test results.

Based on the test results,S11 of the GSM1800matching network and that of the GSM900matching network are larger than 13 dB in the GSM900/GSM1800 band.

4.3 Dual-Band RFDC Rectifier Circuit Measurements

Then,we tested the ultra-low power high-efficiency UHF-band wireless energy harvesting circuit’s RF-to-DC conversion efficiency.The test contained three parts:a)The GSM900 branch test,b)the GSM1800 branch test,and c)the GSM900+GSM1800 combined test.

First of all,we tested the RF-to-DC conversion efficiency of the GSM900 branch.The test system is built as shown in Fig.6b.We connected the signal source directly to the input port of the GSM900’s matching circuit,and then used the multimeter to observe the voltage on the load which was connected at the end of the GSM900 branch to calculate the RF-to-DC conversion efficiency.

In the GSM900 branch rectifier circuit,it could be seen that the RF-to-DC conversion efficiency reached 40.5%when the input power was14 dBm,and the voltage across the load was 375 mV.This voltage meets BQ25570’s cold start condition.In the case that the input power was1 dBm,the RF-to-DC conversion efficiency reached 63.2%,while in the case that the low input power was22 dBm,the RF-to-DC conversion efficiency reached 20%.Fig.5 shows that the RF-to-DC conversion efficiency of the GSM900 branch varies with different input power.

The RF-to-DC conversion efficiency of the GSM900 branch varies with the frequency of the GSM900 band.When the frequency is 880 MHz,the RF-to-DC conversion efficiency of GSM900 is the highest which reaches to 41%.

The return loss of the diplexer circuit’s RF input port is larger than 7 dB in the 60024,000MHz band,larger than 34 dB in the GSM900 band,and larger than 16 dB in the GSM1800 band.Furthermore,the return loss of the RF output port(GSM900 band)is larger than 5 dB,while the insertion loss of the input port and the RF output port(GSM 900 band)is less than 0.7 dB.The return loss of the RF output port(GSM1800 band)is larger than 20 dB,while the insertion loss of the input port and the RF output port(GSM1800 band)is less than 0.8 dB.Finally,the minimum isolation between RF GSM900 output port and GSM1800 output port is greater than 16 dB(11001500 MHz).The comparisons between simulations and test results indicate that these test results can validate the simulation values.

Based on the test results,on the GSM1800 branch rectifier circuit,when the input power was14 dBm,the RF-to-DC conversion efficiency reached 32.6%,and the voltage across the load was 335.7 mV.This voltage meets BQ25570’s cold start condition.When the input power was 3 dBm,the RF-to-DC conversion efficiency reached 55.5%,and when the input power is 22 dBm,the RF-to-DC conversion efficiency reached 13.8%.Fig.5 shows the RF-to-DC conversion efficiency of the GSM1800 branch varies with different input power.

The RF-to-DC conversion efficiency of the GSM 1800 branch varies also with the frequency of the GSM1800 band,in the case that the input power is14 dBm.When the frequency is 1770 MHz,the RF-to-DC conversion efficiency of GSM1800is the highest that reaches to33.3%.

▲Figure6.a)The test system of GSM 1800,b)the test system of GSM 900,and c)the test system of GSM 900+GSM 1800.

Finally,we tested the RF-to-DC conversion efficiency of the combined GSM900 and GSM1800 branches.The test system is built as shown in Fig.6c.We connected two signal sources and a power splitter to the input port of the diplexer,and then used the multimeter to observe the voltage on load.

Based on test results,in the case that both two input powers are 14 dBm(Double 14 dBm input powers equal to 11 dBm),the RF-to-DC conversion efficiency reaches 29.5%,due to the insertion loss of the diplexer.The voltage across the load is451mV,and this voltage meets BQ25570’s cold start condition.In the case that the input power is 0 dBm,the RF-to-DC conversion efficiency reaches 42.7%,and in the case that the input power is 22 dBm,the RF-to-DC conversion efficiency reaches11.7%.

The dual-band RF harvester was simulated by the ADS.In the cases of different incident power levels with the same frequency and different frequencies with the same incident power,the RF-to-DC conversion efficiency was simulated(Fig.5).

第一，银行信任对小微企业信贷可获得性的影响。如前文所述，信任有助于减少银企之间的信息不对称程度、代理问题及交易成本，当银行进行信贷决策时，信任不仅可以巩固对小微企业的信用评价，还可以提升决策的有效性和合理性。本文并不认为信任是决定银行贷款决策的主要因素，但可作合理假说，银行对小微企业的信任与最终贷款发放的可能性呈正相关。

有砟轨道床在时速350 km/h的条件下容易发生道砟飞溅现象，此次“高速铁路固化道床防飞溅高分子材料涂层”的研发与应用，通过将防飞溅涂层喷洒至道床表面区域，促使表面道砟颗粒发生固化，从而防止列车风荷载作用下发生道砟飞溅的现象，对保障线路的行车安全具有重要意义。

The test results of RF-to-DC conversion efficiency of GSM900/GSM1800which varies with the input power are basically the same as the simulation results with small difference.In the branch of GSM900 and that of GSM1800,the average difference between test results and simulation results is only 1.7%and 11.4%respectively.The test results of RF-to-DC conversion efficiency GSM900/GSM1800which varies with frequency are also basically the same as the simulation results with small difference.In the branch of GSM900 and that of GSM1800,the average difference between test results and simulation results is only 5.46%and 11.46%respectively.The average difference of the branch of GSM1800 is large,but it is still in the acceptable range.

4.4 Analysis of Cold and Hot Start of BQ25570Chip

The DCDC boost and energy management circuits used two BQ25570 as core components,and the input were connected to the output of GSM900 rectifier circuit and the output of GSM1800 rectifier circuit respectively.

▲Figure7.The RF-to-DC conversion efficiency of GSM 900+GSM 1800 varies with the input power.

The BQ25570 device is specifically designed to efficiently extract microwatts(μW)to milliwatts(mW)of power generated from a variety of high output impedance DC sources.The boost charger can effectively extract power from low voltage output harvesters,such as our dual-band RFDC rectifier circuit.The outputting voltages of harvesters go down to VIN(DC)(100m Vminimum),so it can be hot start.When starting from the voltage of the super capacitor＜100 mV,the cold start circuit needs at least VIN(CS),330mV typical to charge.

随着人工智能技术的广泛应用，在给人们带来便利的同时，也必然增大犯罪发生的概率。不能只顾品味人工智能技术发展所带来的饕餮盛宴，而无视其可能带来的风险。为了避免未来人工智能时代的犯罪蔓延，有必要对犯罪预防问题进行深入探讨。

The BQ25570 chip’s DC input impedance is 8.66 kΩ which was simulated at the end of the rectifier circuit.Based on the test results of the rectifier circuit,in the case that the input power is greater than orequal to14 dBm,the output of the GSM900/GSM1800 rectifier circuit can provide a voltage greater than 330 mV(GSM900:375mV and GSM1800:335mV)to cold and hot start BQ25570 chip.

▲Figure8.The prototypephoto graph of the test system.

4.5 Wireless Energy Charging Experiments

In order to verify the wireless charging performance of double-band RF harvester,we organized this wireless energy charging experiment.We used the method of wireless charging to charge the super capacitor on the dual-band RF harvester.The experimental system is built as shown in Fig.8.

人文精神是一种普遍的人类自我关怀，表现为对人的尊严、价值、命运的维护，追求和关切，对人类遗留下来的各种精神文化现象的高度珍视，对一种全面发展的理想人格的肯定和塑造。而人文学科是集中表现人文精神的知识教育体系，它关注的是人类价值和精神表现。人文精神的含义与初中政治教学的目标是相符合的，即教育学生融入生活，悦纳自己、学习社会规则，关注个人发展等。

We used the R2000 reader as the power source,and connected the coaxial cable to the R2000 reader and transmitter antenna.The transmit power of R2000 reader was 30 dBm,and the gain of the transmitter antenna was 12 dBic.The receiving antenna which gain was 8 dBic was one meter away from transmitter antenna.As the reader was sending GSM900 band signal,we used the GSM900 branch rectifier circuit to charge the super capacitor.Due to the insertion loss,the diplexer was abandoned.Finally,we used the multimeter to observe the voltage in the super capacitor.

According to the Friss formula(electromagnetic wave propagation),we can calculate the power intensity at the front end of the rectifier circuitas follows.

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where Pe is the power intensity at the front end of the rectifier circuit,P1 is the transmit power of R2000 reader,G1 is gain of the transmitter antenna,G2 is gain of the receiving antenna,G3 is the loss of pipelines(2 dB),r1 is distance between two antennas,and f is900MHz,which is used to calculate the wavelengthλ.According to this formula,the Pe is16.47 dBm.

The experimental system is built as shown in Figs.9 and 10.

从内国的视角看，对于没有纳入到法定权利之中的新兴权利(亦或者合法利益)的保护，在比较法上可以观察到基本权利的保护方式，这种保护方式在国外的新兴权利保护中成为重要的甚至是主要的方式。

Based on the test results,the super capacitor was filled to the set voltage value 4.2 V in 24 seconds.This wireless energy charging experiment proves that our UHF-band wireless energy harvesting circuit can harvest wirelessly GSM900 energy and charge for super capacitor.

▲Figure 9.The prototypephoto graph of the test system.

▲Figure 10.The prototypephoto graph of the dual-band RF harvester.

5 Conclusions

An ultra-low power high-efficiency UHF-band wireless energy harvesting circuit was designed for harvesting RF energy in the GSM900 and GSM1800 bands.This harvester features an RF-to-DC conversion efficiency in the range of 20%63.2%for an available input power of22 dBm to 1 dBm in the GSM900 band,and that in the range of 13.8%55.5%for an available input power of22 dBm to 3 dBm in the GSM1800 band.This harvester can charge the super capacitor through the energy management circuit BQ25570 in case of the input power greater than or equal to14 dBm.Through the wireless energy charging experiments,we confirmed that this harvester could use just24 seconds to fill the super capacitor.This ultra-low power high-efficiency UHF-band wireless energy harvesting circuit has wide application prospect.For example,it can power small sensor systems,such as the wireless sensor network(WSN)nodes.

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