Saturday, January 25, 2020

ZigBee Physical IEEE

ZigBee Physical IEEE This report work started with extensive literature study in several area of ZigBee, particular in the physical aspect. This knowledge was then implemented in simulating the physical aspect of the Zigbee working in the range of 2.4 GHz. Various parameter of the physical layer are alter to demonstrate the its effect by using MATLAB(syntax code in M-file and Simulink). Results are analyzed and compared to demonstrate how the actual standard and specification are derived. 2.0 Literature Review Zigbee is known as IEEE 802.15.4 Low-Rate Wireless Personal Area Network (WPAN) standard is part of the IEEE 802 family of digital communication standards. It is designed for low-cost, low-power applications that require relatively low data throughput which is down to an average of less than 1 bps. It is also differentiated from IEEE 802.15.1TM (Bluetooth TM) in several respects; it does not support isochronous voice, as Bluetooth does. Figure 2.0(a) shows the comparison with standard and technologies. 2.1 Applications ZigBee technology is well suited to a wide range of energy management and efficiency, building automation, industrial, medical, home automation applications. Essentially, applications that require interoperability and/or the RF performance characteristics of the IEEE 802.15.4 standard would benefit from a ZigBee solution. Examples include: Demand Response Advanced Metering Infrastructure Automatic Meter Reading Lighting controls HVAC control Heating control Environmental controls Wireless smoke and CO detectors Home security Blind, drapery and shade controls Medical sensing and monitoring Universal Remote Control to a Set-Top Box which includes Home Control Industrial and building automation 2.2 Advantages The most appealing advantages Zigbee has is low power consumption due low duty cycle of end device that only turns on when required, uses only small capacity of battery but long operating time. It is also relatively low cost compare to other wireless network. It offered low message throughput with the size of code ranges from 32kB to 70kB and is only approximately 10% of code size used in Bluetooth technology. Other advantages are listed below: -Large network order. -Few QoS guarantee -Selectable levels of security based on the Advanced Encryption Standard with 128-bit keys (AES-128) s. 2.3 Physical layer IEEE 802.15.4/ZigBee has two available physical layers. In the 2.4-GHz band, it supports a data rate of 250 kbps; there are 16 available channels, centred at 2405 + 5k MHz, where 0 ≠¤ k ≠¤ 15. The other physical layer is a regional one, covering the 868.0 to 868.6 MHz band available in Europe and the 902 to 928 MHz band available in much of the Americas. There is a single channel in the 868 MHz band, centred at 868.3 MHz, with a BPSK data rate of 20 kbps; the standard supports a BPSK data rate of 40 kbps in the 902 to 928 MHz band, with channels centred at 906 + 2k MHz, where 0 ≠¤ k ≠¤ 9.[1] 2.4 Network topologies To meet its wide range of potential applications, IEEE 802.15.4/ZigBee supports star, mesh, and tree networks, the latter two being multihop networks. Multihop Network: A multi-hop communications allows data from one device to be relayed to another device via intermediary devices. By relying on these intermediary devices, the range of a given network can be significantly increased while at the same time limiting the power consumption of each device. [2] Star Network: Star network topologies are commonly referred to as point-to-point and point-to-multipoint networks. This topology can be supported by either ZigBee or 802.15.4. In this network, all devices are limited to â€Å"single-hop† communications. Typical applications for star networks include garage door openers and remote controls. [2] 2.5 DSSS (Direct Sequence Spread Spectrum) IEEE 802.15.4 uses direct sequence spread spectrum (DSSS) for robust data communications. A DSSS spectrum system is spreading baseband by directly multiplying the baseband data with the PN code sequence. At the receiver side code, synchronization is received and the signal is passed through a filter. At the next step, it is multiplied by a local version of the same PN sequence. The received data are then dispread. The signal bandwidth is reduced. An interference signal will be spread when multiplying with the dispread sequence and the power of the interference is reduced when the bandwidth are increased. The part of the interference signal that does not have the same bandwidth as the desired signal is then filter out. In this way the most of the interference power is eliminated. 2.6 Channel Access There are two types of channel access in the IEEE 802.15.4 defined communication system. They are based on whether the devices want to retain their own exclusive time slot for communication or they have to compete with other devices for accessing the channel. The contention based allows the devices to access the channel in distributed way using CSMA CA algorithm. With this method each devices has to scan the air medium for free channel or to compete with other devices for the channel access. With contention free method, the network coordinator decides about the channel access by using Guaranteed Time Slot (GTS) of the channel space. This method is suitable for latency sensitive devices that require short delay time and no competition for channel access. To meet its low average power consumption goals, IEEE 802.15.4/ZigBee is capable of extremely low duty cycles — below 10 ppm [3]. The standard also supports beaconless operation — an asynchronous, asymmetrical mode supporting unslotted CSMA-CA channel access for star networks — that enables devices other than the receiving central node to remain asleep for indefinite periods, thus reducing their average power consumption still further. 2.7 Data processing IEEE 802.15.4 2.4-GHz physical layer uses a 16-ary quasi-orthogonal signalling technique — trading signal bandwidth to recover sensitivity with coding gain. A particular 32-chip, pseudo-random (PN) sequence is used to represent four bits [3].A chip is a symbol from p-n code sequence. There are 16 chips sequence and one is defined in table below: Information is placed on the signal by cyclically rotating or conjugating (inverting chips with odd indices) the PN sequence 8. The PN sequence is rotated in increments of four chips: symbols 0 through 7 represent rotation without conjugation; and symbols 8 through 15 represent the same rotations, but with conjugation. In this way, four bits are placed on each transmitted symbol and, because transmitted symbols are related by simple rotations and conjugations, receiver implementations can be simplified over other orthogonal signalling techniques that employ unrelated PN sequences. Half-sine shaped Offset-Quadrature Phase Shift Keying (O-QPSK) is employed, in which the chips of even index are placed on the I-channel and the chips of odd index are delayed one-half chip period and then placed on the Q-channel. The chip rate on either the I or the Q channel is 1 Mchip/s, so the overall chip rate is 2 Mchip/s. The symbol rate is 62.5 k symbols/s, leading to a data rate of 250 kbps. [4] 3.0 Description of the Simulator In this report, Simulink and syntax code (M-file) in MATLAB are used to generate the scatter plot. For the implementation of overall block system in Simulink model, the equivalent block diagram is as shown above. The Simulink model block consists of random integer generator, modulator and demodulator, noise channel and also error rate calculator. Simulink model effectively represent the complicated syntax code into system model block. The signal is generated by using a Random integer, the Random Integer Generator block generates uniformly distributed random integers in the range [0, M-1]. Then, the signal are modulated by OQPSK, the Offset Quadrature Phase Shift Keying (OQPSK) modulation scheme is used in this assignment. As stated in literature review, Offset Quadrature Phase Shift Keying (OQPSK) is a variant of phase-shift keying modulation using 4 different values of the phase to transmit. Addictive White Gaussian Noise is then added to the signal to simulate a practical channel w hich consists noise. After that, the signal is demodulated by using the same scheme-OQPSK. Result are compared with the initial signal (output from the Random Integer) to calculate the BER and SER performance of the scheme. The Discrete-Time Scatter Plot Scope block displays scatter plots of a modulated signal, which are located after AWGN block to reveal the modulation characteristics, such as channel distortions of the signal. For M-file code, the sequence is similar as the above block diagram, the following command are to used to generated the random signal : out = randint(m,n,rg) The code represented above generates an m by n integer matrix of random number. Variable â€Å"rg† represent the range of random number to be generated. The modulating part and demodulating are done by using the below code: y = oqpskmod(x) y = oqpskdemod(x) To add noise to the signal: y = awgn(x,snr,measured) Where x is the input signal and â€Å"snr† is the signal to noise ratio. The scatter plot are plotted by using: scatterplot(y) Besides plotting the scatter plot, the BER versus SNR curve are plotted as it is important to compare different modulating scheme in term of the BER performance. This is done by using syntax code in M-file. The complete code is attached in the appendix. The following is the flow chart to describe the sequence of the code. At the end, three graphs are generated ideal BER characteristic, practical BER characteristic and SER characteristic. 4.0 Result and Discussion . Dots are located at the centre of the boundary lines which is within the box or boundary line. This indicated that proper digital signal is being received. The closer the detected level/phase dots are plotted to the middle of the boundaries, the lesser noise and interference to the digital signal. However this diagram will never be obtain in practical cases. Therefore to simulate a practical real cases, Addictive White Gaussian noise must be considered, Additive Gaussian noise disturb the digitally modulated signal during analog transmission, for instance in the analog channel. Additive superimposed noise normally has a constant power density and a Gaussian amplitude distribution throughout the bandwidth of a channel. If no other error is present at the same time, the points representing the ideal signal status are expanded to form circular â€Å"clouds† as shown below. As figure above shown, scattering of the dots indicates some marginal signal performance degradation but not enough to cause significant digital bit errors because dots are still located inside the boundary. Only dots to the edges of the quadrant or beyond represent significant degradation that results in bit errors during decoding which are shown in figure below generated by using Simulink . In conventional QPSK, change in the input bit from 00 to 11 or 01 to 10 causes a corresponding 180 ° shift in the output phase therefore an advantage of OQPSK is the limited phase shift that must be imparted during modulation. The sudden phase-shifts occur about twice as often as for QPSK (since the signals no longer change together), but they are less severe. In other words, OQPSK has smaller jumps when compared to QPSK. This lowers the dynamical range of fluctuations in the signal which is desirable in engineering communications signals. As mentioned earlier, the simulation is performed to study the performance of the design model. The study is done by observing the bit error rate (BER) with respect to the signal to noise ratio (SNR) The simulation (Figure 4.0(f)) compares the BER versus SNR curve for different modulation scheme used. Four different modulation schemes is taken into comparison, which is the Quadrature Amplitude Modulation (QAM), Quadrature Phase Shift Keying (QPSK), Differential Phase Shift Keying (DPSK) and finally Offset Quadrature Phase Shift Keying (OQPSK) employed by Zigbee operating at 2.4GHz radio band. By comparing different modulation scheme give better insight on which modulation is better and suitable. All modulation schemes are simulated with the value M = 4, where it is effectively represented by n = 2 bits which can be calculated from the following formula below: n = log2 (M) The first graph below shows the theoretical bit error rate versus signal to noise ratio curve. For practical system, white Gaussian noise is added. If comparison is made between theoretical graph and practical graph, it shows that there is not much of the different in term of the shape of the graph. ,it shows that for all the modulating scheme, the higher the SNR the lower the BER (bit error rate).The same principal are apply to the symbol error rate(SER) vs SNR(figure 4.0(g)). For BER vs SNR, comparing the four different modulation schemes from the practical graph plotted, DPSK modulation scheme shows to have the worst bit error rate at any level of SNR, followed by QPSK and QAM having approximately similar bit error rate at any SNR level. The OQPSK tends to have the lowest bit error rate at any SNR level if compared to other modulation scheme, which is desired. The comparison is done by taking one fixed SNR level, for example, considering the SNR level of -2. The bit error rate of OQPSK falls approximately to 10-2, which is the smallest. The QAM and QPSK have bit error rate falls within the range of 110-1 to 510-1, slightly much higher than OQPSK. The DPSK has the highest bit error rate, which is above the range 110-1. 2dB Graph 4.0(h) illustrate symbol error rate (SER) versus signal to noise ratio (SNR) under the same condition for the four modulation scheme. The SER versus SNR curve has similar characteristic over the BER versus SNR curve, with OQPSK being in the best performance, followed by QPSK and QAM and DPSK having the worst performances. Low average power is achieved with a low overall system duty cycle. However, low duty cycle must be achieved with low peak power consumption during active periods because most of the target power sources have limited current sourcing capabilities and low terminal voltage, and it is not desired to implement with complex power conditioning systems for cost and efficiency reasons. At the physical layer, the need for low duty cycle yet low active power consumption implies the need for a high data rate (to finish active periods quickly and return to sleep), but a low symbol rate (because signal processing peak power consumption is more closely tied to the symbol rate than the data rate). Therefore, this implies the need for multilevel signalling (or m-ary signalling, with m > 2), in which multiple information bits are sent per transmitted symbol. However, simple multilevel signalling, such as 4-FSK, results in a loss of sensitivity. As can be seen from figure 4.0(h), OQPSK provides a 2-dB increasein sensitivity over nearest scheme (QAM). For modulating scheme with low sensitivity, there is a need to recover the needed link margin (i.e. range) without resorting to directive antennas, the transmitted power must be increased or the receiver noise figure must be reduced, both of which can increase power consumption significantly. 5.0 Conclusion In conclusion, IEEE 802.15.4 is still a new standard which has the potential to unify methods of data communication for sensors, actuators, appliances, asset tracking devices and so on. It offers the means to build a reliable and affordable network backbone that takes advantage of battery-powered devices communicating at low data rates. In addition the complexity and cost of the IEEE 802.15.4/Zigbee-compliant devices are intended to be low. It can potentially create a whole new ecosystem of interconnected home appliances, light and climate control systems, and security and sensor sub-networks. In this respect, the implementation of the physical layer of the IEEE 802.15.4 standard must be optimized to meet the challenging low-cost and low-power targets. From the context above, various test and evaluation on the BER versus SNR curve and scatter plot for various scheme are done on physical layer of the ZigBee, the result shows that OQPSK is the most suitable modulating scheme which fit the ZigBee (2.4 GHz band) characteristic (low power consumption, high sensitivity, high reliability and low cost ). Thus it coincides with the actual standard for Zigbee. 6.0 References 1. Sensor Technology Handbook, Page 593 Section:  22. Wireless Sensor Networks: Principles and Applications Wilson, Jon S ISBN: 0750677295, Newnes, 2004 ZigBee Specification, ZigBee Alliance, Zigbee Document 053474r05 Version1.0, 2005-06-20 2.ZigBee and 802.15.4 Solutions -http://www.silabs.com/public/documents/marcom_doc/pbrief/Microcontrollers/en/ZigBee_Brief_Web.pdf 3.RF Circuit Design Theory and Applications, Reinhold Ludwig and Pavel Bretchko Pretince Hall, ISBN 0-13-095323-7 4. Zigbee Ready RF Design -http://rfdesign.com 5. Zigbee http://en.wikipedia.org/wiki/ZigBee 6.Edgar H. Callaway, Jr., Wireless Sensor Networks. Boca Raton, FL: Auerbach Publications, 2003, Chap. 7. 7. chipcon,http://www.chipcon.com,2006-01 8. IEEE802.15.4 and ZigBee Compliant Radio Transceiver Design

Friday, January 17, 2020

High employee performance

Question: â€Å" Making people satisfied in and with their occupations generates high employee public presentation. † Discus This essay argues whether high employee public presentation is a consequence of doing people happy in and with their occupations. It will sketch the points in favor and against the statement whilst mentioning to the different occupation satisfaction and public presentation theories that have been examined by Human Resource Management ( HRM ) theoreticians. The different points and theories on the occupation satisfaction occupation public presentation theoretical accounts will besides be highlighted to back up the statement. Job public presentation is officially defined as the value of the set of employee behaviours that contribute, either positively or negatively to organizational end achievement ( Colquit, Lepine, Wesson pg. 37 ) . Job satisfaction on the other is defined as a enjoyable emotional province ensuing from the assessment of 1s occupation or occupation experiences ( Colquit, Lepine, Wesson pg. 104 ) . In other words, it represents how you feel about your occupation and what you think about your occupation. There are different factors that contribute to employee satisfaction in the workplace runing from inducements such as periphery benefits to wagess such as higher wage. One cardinal factor that affects employee satisfaction is motive. Motivation has been describe as the cognitive determination devising procedure through which end directed behavior is initiated, energized, directed and maintained. ( Andrzej, Huzynski, Buchanan ) . This merely means that motive is what drives an person to bring forth an result. There is a valid nexus between these two descriptions and research has shown that occupation satisfaction most times leads to high employee public presentation. Take for e.g. theoretical account 1 developed by†¦ shows a clear nexus between occupation satisfaction and public presentation as G Strauss ( 1968 ) commented that â€Å" early human relationists viewed the morale-productivity relationship rather merely: higher morale would take to improved productiveness. This provides a valid relationship between morale and productiveness e.g. a telesales agent who is extremely motivated and is happy with their occupation is more likely to execute better than one who is non. On the other manus anticipation theories of motive by and large stipulate that satisfaction follows from the wagess produced by public presentation ( Naylor, Pritchard, Illgen 1980 ) ( Vroom 1964 ) . Lawler and Porter ( 1967 ) anticipation theorists themselves argued that public presentation would take to occupati on satisfaction through the proviso of intrinsic and extrinsic wagess. In contrast to this there are different values each employee is more normally associated with. Some employees value money as a chief aim to be satisfied by their occupation while others value friendly relationship as a step of occupation satisfaction, as Locke ( 1970 ) hypothesised that value attainment would chair the performance- satisfaction relationship, such that public presentation is fulfilling to the extent that It leads to of import work values. Therefore, a strong pay-performance eventuality would do those who value wage satisfied because public presentation leads to valued wagess. Although this is the instance these theories differ depending iupon what type of profession or occupation you are looking at. E.g intrinsic wagess would use more to physicians and engeeners as they are more satisfied by value of their occupations and†¦ wheras person working on a local shop may be more satisfied by how much money thay make par twenty-four hours. So if the statement that doing people satisfied with their occupations generates high employee public presentation is entirely used in a concern environment and other factors are non included such as the 1s above this would non turn out practical as grounds shows that there are other factors that influence this. Personality besides affects occupation satisfaction and public presentation. Therefore it is really of import to separate between the different personality traits each person has in order to use the right theoretical accounts to increase their occupation satisfaction and public presentation. A meta analysis conducted by, Organ and Ryan ( 1995 ) proposed that employee personality traits such as conscientiousness indirectly influence Organisational Citizenship Behaviour ( OCB ) through employee affect. Job satisfaction would be one index of this affect. In certain occupation prspects such as marketing employees who score higher points on extroversion traits Mccrae and costa ‘s ( 1987 ) would have more attending from people in authorization as those are some of the chief qualities that leaders look for in selling industry ensuing in more contact and attending from leaders. This is supported by ( Graen, 2003 ; Graen & A ; Uhl-Bien, 1995 ; Lapierre, Hackett, & A ; Taggar, 2006 ) ‘s, statetement that those in higher quality Leader Member Exchange ( LMX ) relationships typically receive discriminatory intervention, such as more discretion and liberty at work, every bit good as more ambitious and of import duties ensuing in increased occupation satisfaction ( Schriesheim, Castro, Zhou, & A ; Yammarino, 2001 ) . Clearly one can see that when employees are making good in their occupation and are acquiring the recognition and incentives they deserve they will be satisfied with their work hence taking them to execute better in undertakings allocated to them and with their overall occupation. However It can be argued that overall occupation satisfaction may non ever be measured accurately as being satisfied with one facet of work such as friendly relationship s at work might non intend one is satisfied with their whole occupation as they may non be satisfied with wage. Employees may be probably to execute better with undertakings that relate to a portion of the occupation they are satisfied with and make strictly with undertakings related to things they are non satisfied with in their occupations. Besides lazy workers although satisfied may non better on their public presentation which supports the McCrae and Costa ‘s ( 1987 ) unfastened model on personality.

Thursday, January 9, 2020

Colonialism in Heart of Darkness - Free Essay Example

Sample details Pages: 3 Words: 884 Downloads: 1 Date added: 2019/06/10 Category Literature Essay Level High school Topics: Heart of Darkness Essay Did you like this example? Heart of Darkness centers around a man named Marlow, an inward – looking sailor, and his journey up the Congo River to meet a man named Kurtz. Marlow takes a job as a riverboat captain for an ivory trading company in the Congo. As Marlow travels through the Congo he sees a lot of carelessness and disorganization in the company’s stations. Don’t waste time! Our writers will create an original "Colonialism in Heart of Darkness" essay for you Create order Marlow sees how the native inhabitants have become slaves for the company. According to Marlow, colonialism began because of the ivory which the Europeans were very hungry for. All the way through his journey up the Congo and into the Heart of Darkness, the true purpose of colonialism and the European capitalist approach is uncovered. Before we can talk about colonialism in the book we must first understand what it is. Colonialism is the policy or practice of acquiring full or partial political control over another country, occupying it with settlers, and exploiting it economically. Now let’s talk about how Conrad colonializes Africa in the book. Conrad uses Marlow to tell his story of how everything took place. The story starts with Marlow on ship on the Thames River. The first time the theme of colonialism is brought up is on page 2 when Marlow talks about the old river, he says â€Å"the old river in its broad reach rested unruffled at the decline of day, after ages of good service done to the race that peopled its banks, spread out in the tranquil dignity of a waterway leading to the uttermost ends of the earth† The rivers are very important and complicated symbols throughout Heart of Darkness, and Marlow presents the Thames as â€Å"unruffled† and possessing a â€Å"tranquil dignity.â₠¬  The waters that he is describing here is responsible for the violent colonial events treated later in the text. There were many purposes for colonialism according to Marlow. One of the main reasons for the colonialism of Africa is the ivory business. Another reason according to Kurtz is for the suppression of the Natives beliefs and traditional way of life. Another purpose for colonialism is to gain control over the natural wealth of the country. The need for ivory was more important than civilizing the natives of the land especially for the Europeans, but also for Kurtz. His need for ivory drove him to sickness and insanity and madness. The Russian told Marlow that Kurtz was about to shoot him over a small stash of ivory. â€Å"he declared he would shoot me unless I gave him the ivory and then cleared out of the country, because he could do so, and had a fancy for it, and there was nothing on earth to prevent him killing whom he jolly well pleased.† Kurtz need for ivory got so bad that he was willing to kill for it. The colonization of Africa had some major impacts and affects. Conrad attacks these affects’ on the native population and the colonizers of the land. He directly attacks this by Marlow’s description of the natives. â€Å"It was unearthly, and the men were—No, they were not inhuman. Well, you know, that was the worst of it—the suspicion of their not being inhuman. It would come slowly to one. They howled and leaped, and spun, and made horrid faces; but what thrilled you was just the thought of their humanity—like yours—the thought of your remote kinship with this wild and passionate uproar. Ugly. Yes, it was ugly enough; but if you were man enough you would admit to yourself that there was in you just the faintest trace of a response to the terrible frankness of that noise, a dim suspicion of there being a meaning in it which you—you so remote from the night of first ages—could comprehend.† There were some impacts to colon ization as well. One of the major impacts would be the increased tension and violence between natives and the colonizers. Another impact would be the racial oppression of the natives. Colonizers forced the natives to be their slaves so they didn’t have to do all of the hard work. In the movie it showed how the natives were operating the boats and collecting and loading ivory onto the boats while the white colonizers watched and told them what to do. Unlike most novels that focus on the evils of colonialism, Heart of Darkness focus on the attention to damage that colonization does to souls of the colonizers. Kurtz would be a perfect example of this situation because he went insane over ivory. In the end of the book Kurtz screams out â€Å"the horror, the horror†. I have explored the meanings and the purposes, and the impacts of colonization of Africa. I have discussed how colonization of Africa drove one man to death and impacted the lives of others. Throughout his book â€Å"Heart of Darkness†, Joseph Conrad tells that colonialism is a cruel and savage process that seeks to remove all radical beliefs. He divulges that colonialism is just a brutal fight for domination and power in a foreign territory where getting the top is the only thing that matters. All the way through Marlow’s journey up the Congo and into the heart of darkness, the true purpose of colonialism and the European capitalist approach has be en uncovered.

Wednesday, January 1, 2020

U.s. Private And Public Schools - 1398 Words

Mexico has both: private and public schools. This does not mean that all people have the opportunity to study where they wish, because the options for studying without expensive tuition require a selection process. Merida, the city where I grew up, is no exception. I was fourteen and was about to start one of the most important stages of my life: to be accepted at school number 2 of the Autonomous University of Yucatan also known as UADY. This school was and remains the most prestigious university of my city, state and one of the most important in the country. Studying at the Prepa 2 is practically free; you just have to cover an annual fee of $ 2.600 Mexican pesos, pay for uniforms, and buy books and school supplies. It is an investment equivalent to $ 250.00 Canadian dollars per year. Besides all this, being a graduate from this school was a way to set foot into one of the best university faculties in the country. By starting high school I was also choosing my future as a university student. My parents always instilled in me the importance of a good education. I was an outstanding student from kindergarten through middle school. After middle school my dad enrolled me in a preparation course, which the Prepa 2 was offering for getting the admission in this institution. They were happy days; I was with my best friends Angelica, Vianney and Emanuel. We had studied together since primary school, and they also took the course with me. After one month, the test day arrivedShow MoreRelatedCampus Safety Analysis: Capella University1217 Words   |  5 Pagescrime rates, data was pooled from the U.S. Dept. of Education’s website on Campus Crime. This data will be utilized to examine the following questions from the security team: What crimes were most commonly committed on Minnesota campuses between 2009 and 2011? Based on the data, would you say the crime rates decreased or increased from 2009 to 2011? 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