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HomeGrid Forum White Paper Version 3.0 – August 2013 for any wire, anywhere in your home Multiple Input, Multiple Output Technology Accelerates Wired Home Networks The MIMO enhancement to G.hn PLC adds another layer of robustness to its already strong technology foundation while nearly doubling G.hn’s industry-leading throughput Author John Egan Marvell Semiconductor, Inc With contributions from Agustin Badenes Corella, Marvell Semiconductor Chano Gomez, Marvell Semiconductor David Thorne, BT Erez Ben-Tovim, Sigma Designs Ravi Mantri, Metanoia Salvador Iranzo Molinero, Marvell Semiconductor Tom Starr, AT&T HomeGrid Forum | For any wire, anywhere in your home about HomeGrid Forum HomeGrid Forum (HGF) merged with the HomePNA Alliance in May 2013, forming an industry alliance of over 70 members including some of the world’s largest Service Providers, system manufacturers, and silicon companies. HGF promotes development and deployment of a single, unified, multisourced home networking technology, G.hn, over coax, phone wires, powerline, and plastic optic fiber while continuing to support the existing base of HomePNA deployments. HGF provides silicon and system certification through its compliance and interoperability testing programs to ensure that retail customers and service providers can have confidence in all G.hn and HomePNA products. HGF members collectively provide an eco-system covering all aspects of the technology from Retailers to Service Providers, utilities to Smart Grid think tanks, system developers to test houses and silicon companies. Our goals include promoting the benefits of G.hn; enhancing G.hn technology to meet evolving industry requirements; ensuring interoperability, performance based on our certification program; and supporting the needs of Service Providers deploying G.hn and HomePNA technologies. For more information on HomeGrid Forum, please visit our website at http://www.homegridforum.org HomeGrid Certified HomePNA Products The mark of Certified Compliance, Interoperability, and Performance HomeGrid Forum Certified G.hn Products The mark of Certified Compliance, Interoperability, and Performance Note THIS DOCUMENT IS PROVIDED “AS IS” WITH NO WARRANTIES WHATSOEVER, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING WITHOUT LIMITATION, ANY WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT, FITNESS FOR A PARTICULAR PURPOSE, OR ANY WARRANTY OTHERWISE ARISING OUT OF ANY PROPOSAL, SPECIFICATION, OR SAMPLE. HomeGrid Forum disclaims all liability, including liability for infringement, of any proprietary or intellectual property rights, relating to use of information in this document. No license, express or implied, by estoppel or otherwise, to any proprietary or intellectual property rights is granted herein. HomeGrid™, HomePNA®, HomeGrid ForumSM, HomeGrid Forum design, HomeGrid G.hn and G.hn-Lite Certified and Design, and HomePNA design are trademarks and/or service marks of HomeGrid Forum. All other names and logos are trademarks and/or service marks of their respective owners. Copyright © 2013 by HomeGrid Forum. Specifications and content subject to change without notice. 2 Table of Contents page 1Overview 4 2 PLC Background 5 3 PLC Transmission Over Multiple Wires 6 4 G.hn PLC Mode with MIMO 8 5 PLC and MIMO NN Mitigation in MDUS — A Unique G.hn Strength 12 6Summary 13 Appendix15 I. Calculating G.hn PLC Data Rate Numbers 3 16 HomeGrid Forum | For any wire, anywhere in your home 1 Overview This paper introduces the Multiple Input, Multiple Output (MIMO) enhancement to G.hn’s Powerline Communications (PLC) mode, as defined in Recommendation ITU-T G.9963, the first PLC MIMO standard. PLC MIMO enables transmission and reception of multiple signals between pairs of nodes in a network, improving coverage, robustness to noise, and throughput. Since publication of the initial G.hn standards in 2010, the technology has attracted great interest from a growing number of companies. Moreover, there have been a number of subsequent proposals to extend G.hn to make it even better. One such proposal was to enhance G.hn’s PLC mode with MIMO. The ITU-T G.hn standards committee began work on this in 2010, culminating in the G.9963 standard at the end of 2011. G.hn PLC with MIMO brings several improvements over legacy PLC technologies, which use only one transmitter/receiver between them, a technique known as Single Input, Single Output (SISO), to communicate. These improvements can be summarized as: • Extended coverage — even more places in the home can benefit from G.hn’s high Quality of Service (QoS) and Quality of Experience (QoE) • Improved signal crossover between electrical phases — increases coverage and performance, which translates to increased throughput and better HD TV support • Dramatically increased throughput — using spatial multiplexing of signals over two physical channels significantly augments capacity. G.hn MIMO for PLC boosts performance by at least a factor of 1.7 and so extends G.hn’s advantage over legacy technologies to a factor of more than 6 (1.7 times the previous 4-fold advantage) • Consistently improved service over extended distances while improving robustness — using precoding and waterfilling • Improved performance in mixed SISO and MIMO deployments — through receiver diversity (SIMO mode) and multiple transmissions to one receiver (MISO mode) means backward compatibility with improved performance for SISO G.hn networks G.hn’s PLC mode with MIMO takes a technology that already outperforms its rivals and makes it by far the most robust and powerful PLC home network choice available today. With a theoretical PHY data rate approaching 1.9 Gbps, approximately eight times the theoretical rate possible with today’s legacy SISO PLC technologies, and an error rate comparable with that achieved over coax cable, G.hn PLC with MIMO takes home networks to a new level. This ensures that the delivery of high data rate broadband services to the consumer are not bottlenecked by a slow home network or subjected to low quality of service. With the addition of MIMO, G.hn PLC mode is able to increase its reach and throughput, while at the same time becoming more resilient to noise and bit errors. While speed claims get the headlines, it is quality of service and user experience that really matter. G.hn’s PLC mode delivers on its promise of high quality of service with excellent customer experience. Adding MIMO to G.hn increases network coverage throughout the home, as well as boosts speeds, making the G.hn PLC MIMO network a future-proof investment, as demand grows for increasingly complex content and higher rate throughput. As the backbone of a hybrid in-home network, G.hn’s PLC with MIMO is unparalleled in service delivery, stability, and consistency. 4 HomeGrid Forum | For any wire, anywhere in your home There are two classes of PLC standardized by the ITU-T: low frequency G.hnem PLC, and G.hn high frequency PLC mode. Use of the term ‘PLC’ throughout this paper refers to either ‘high frequency PLC’ or PLC as a generic term, based on context. 2 PLC Background To provide data communications over power lines, PLC must overcome many obstacles. Power distribution cables, while efficient for electricity transport, are far from ideal for data transport because they lack balanced lines and signal protection. In addition to the wiring itself not being “data com friendly,” electrical wiring connections, meters, and breakers substantially attenuate PLC signals. PLC signal strength decreases when branching off from the breaker panel and crossing between phases.1 PLC signals also reflect off impedance mismatches, suffer delay spread, and are subject to the ingress of electro-magnetic interference. Many residences are served with multi-phase power and PLC signals crossing over between phases introduces substantial signal drop. In other words, quality communications over power lines is a challenge. Compounding these obstacles, various appliances and electrical devices in the home generate noise on the power lines. Given these factors, noise and attenuation on the wires can significantly deteriorate PLC signals. In summary, prior to G.hn, due to its inability to fully overcome such obstacles, PLC was mainly used for best effort data delivery, often at relatively low data rates. However, given the near ubiquity of power sockets throughout the home, the use of PLC is highly desirable for in-home networking, as long as its obstacles can be overcome, which was one of the key goals achieved with G.hn. Legacy PLC systems are only able to overcome a subset of these obstacles. They use Single Input, Single Output (SISO) technology over the power1 and neutral lines, with signal transmission on the power wire and the neutral wire used for the signal return path. In many homes around the globe, 3-prong electrical sockets are used, with three wire cables to the sockets known as power, neutral, and earth ground.2 TX SISO PLC node Data SISO PLC node In-home MAINS Power RX Neutral » Figure 1: Early PLC SISO communications, only the power and neutral wires are used Unfortunately, the power lines go through surge suppressors, circuit breakers etc., which significantly attenuate or even block PLC signals. Legacy PLC modems when plugged into surge protected outlet strips provide mediocre service at best. Therefore, legacy PLC can be rather unreliable. Although marketed as a “200 Mbps” technology, legacy PLC systems typically achieve a worst-case rate of only 30 Mbps between 95% of the sockets in a home. To achieve 98% coverage reduces this rate to 10 Mbps.[1] 1 Also called ‘live’, ‘phase’ or ‘hot’ 2 Also called ‘protective earth’ or ‘earth’ 5 HomeGrid Forum | For any wire, anywhere in your home From Utility & Meter Two Phase and Neutral Earth Ground Power Neutral Ground Breaker Panel Data Power (Phase 1) Power (Phase 2) PLC TX Data (attenuated) PLC RX » Figure 2: PLC over 3-wire, 120v service Based on advances in modern digital signal processing and error mitigation techniques, OFDM-based G.hn provides dynamic mesh networking, selective retransmission of only the errored segments of packets, advanced LDPC Forward Error Correction, and adaptive bit loading per sub-carrier (or OFDM tone). With these techniques, even without MIMO, G.hn is able to overcome most service impairments and deliver a clean, high-speed PLC data link that can achieve rates of up to 950 Mbps.3 G.hn also suffers, albeit to a lesser extent, when its signals encounter obstacles such as surge suppressors. G.hn with MIMO however virtually eliminates the impact of such devices. 3 PLC transmission over multiple wires The initial definition of PLC was for operation over just the power and neutral lines. The signals between two PLC devices transit the wire in half-duplex mode, which means a PLC device may be either transmitting or receiving at any given moment with another PLC device. The powerline wire types in the home (power, neutral, and earth) have different levels of noise as well as different impediments to signal transit. The power wire is the worst path for signals. The neutral has a lower level of noise while the earth ground wire is relatively clean of noise. The earth ground and neutral lines are typically linked together in the breaker panel, and thus are not a good pair for signal transmission as the signal attenuates to zero where the lines connect. Further, some regions forbid the use of signals on neutral and/or earth ground, therefore they are only suitable for return path use. 3 This calculated value is under optimal theoretical conditions for G.hn PLC mode operating in the 2-100 MHz range; see “Appendices Calculating G.hn PLC data rate numbers” for example rates versus conditions.” 6 HomeGrid Forum | For any wire, anywhere in your home Unfortunately, the power and neutral lines are the least ‘communications friendly’ pairing, yet were the easiest to design given the state of the art when PLC was first commercially deployed. Technology has advanced since then and now there are multiple choices for paths through 3-wire cables. The power and earth pairing is a better choice for transmissions due to the lower noise on the earth wire. SISO PLC modems can now be designed to select which of the two paths are best between any two PLC devices, either power and neutral or power and earth. The ability to select one or the other path is known as Path Diversity. The modems still work in SISO mode, yet they can either determine which to use at start up or dynamically select one path or the other given current conditions and the far end device capabilities. Path Diversity enables backward compatibility with PLC modems that only work over the power and neutral lines. Path Diversity offers an “either/or” selection of paths between modems. By using the power and earth pair, it provides an improvement in service and robustness to noise, yet is still a SISO mode technology. MIMO refers to a communications technique that utilizes more than one transmit and receive path; there are multiple inputs to the medium from the transmitting node while the receiving node accepts multiple outputs from the medium. MIMO PLC uses both, power-neutral and power-earth simultaneously to communicate between two devices. 3.1 Path Choices for SISO devices PLC faces interesting challenges due to the nature of PLC signal propagation over power lines. A PLC signal on one power line will propagate across to nearby lines, be they other power cables, or wires in the same cable. The SISO PLC signal transiting a three-wire cable will propagate to the neutral and earth ground wires, regardless of the Path Diversity route taken. This enables advances in digital signal processing to be used to improve communications between SISO and MIMO PLC devices. In some deployments, there is a mix of SISO and MIMO devices. In these instances, at a given point in time a SISO device may be transmitting to a MIMO device. While the signal was sent on a single path, the MIMO receiving device can use both of its receiver circuits to collect the signal and use advanced algorithms to process the signal achieving an improved signal to noise ratio (SNR). This enables a MIMO device to have improved communications from a SISO device, regardless of the SISO device being Path Diversity capable. This is known as Single Input, Multiple Output (SIMO) mode. Similarly, if a MIMO device is transmitting to a SISO receiving device, the MIMO device can adjust its signals over both channels to provide a stronger arriving signal at the SISO device’s single receiver, regardless of which path is used by the SISO device. This method is known as Multiple Input, Single Output (MISO). 7 HomeGrid Forum | For any wire, anywhere in your home One Transmitter Data Two Receivers Data TX MAINS RX Data 2 (propagated) Power Neutral Ground » Figure 3: Propagation of PLC signal to other wires with multiple outputs (receivers) Note: In some regions, such as Japan and Korea, and in some older homes, only 2-wire sockets and powerline cables are used. Under these conditions, PLC MIMO typically does not bring additional benefit, nor does Path Diversity, SIMO, or MISO. In these instances, G.hn’s SISO mode works well. 4 G.hn PLC mode with MIMO G.hn, with its innovative networking technology, is pioneering important changes in home network equipment. Even the initial G.hn standards allowed more than one receiver circuit in a device. Therefore, one should not regard “regular” G.hn PLC nodes as being limited to SISO, as this may not be true for a given implementation. Non-MIMO G.hn nodes should therefore be generically termed ‘SIxO’.4 In a G.hn PLC network, when the recipient node attached to a 3-wire socket does have two receivers, they can both listen to the three-wire connection. All G.hn SIMO and MIMO nodes support receiver diversity and thereby achieve higher data rates and a reduction in error rate when receiving signals over both links, even if a single channel node (SISO, SIMO, SIxO) is transmitting, or the transmitting end node is operating over a 2-wire socket (see Table 1). The standard, Recommendation ITU-T G.9963, introduces the use of MIMO technology to powerline communications. When 3-wire cabling (with power, neutral and earth ground wires) and 3-wire sockets are present in a residence, the earth ground wire is used to create a second simultaneous transmission path (power–earth) between transmitter and receiver on top of the conventional power-neutral path. The use of multiple transmitters and/or receivers for PLC requires more than one electrical path between two communicating devices, with each path requiring at least two wires. G.hn MIMO PLC devices are able to send as well as receive PLC signals using all three wires as two logical circuits. DLL PHY PMA/ PMD PMA/ PMD G.hn MIMO node Channel 2 Dual AFE Dual AFE Channel 1 Power Neutral Ground PMA/ PMD PMA/ PMD PHY DLL G.hn MIMO node » Figure 4: G.hn PLC nodes with MIMO linked by multiple channels or paths 4 The term ‘SIxO’ used here to denote that a G.hn node might have more than one receive path while it has one transmit path. The node’s transceiver would have to support more than one receive path (be a SIMO node) and the node would have to be attached to a 3-wire socket to gain efficiencies based on its SIMO capabilities. 8 HomeGrid Forum | For any wire, anywhere in your home MIMO PLC transceivers must be able to decode arriving MIMO signals, which are identical frequencies and have propagated to other wires. This is further improved through the use of precoding of the signals using a matrix algorithm. WLAN use of MIMO is to send multiple copies of the same data from the transmitter to the receiver, thus improving robustness to noise, improve service while a receiver is moving, and extend coverage through improved SNR. G.hn PLC MIMO supports this mode, as well, especially to improve noise robustness. A G.hn receiver passes channel state information to the transmitter, so that it constantly adjusts its signals to changing channel conditions. G.hn PLC MIMO adds another dimension to this in that both channels may be used for transporting different data, nearly doubling the capacity of the link between MIMO transmitter and MIMO receiver. G.hn nodes with MIMO achieve an increase in efficiency over the same PLC frequencies by using space diversity at both the transmitter and receiver. As a result: (a) G.hn’s PLC service has increased noise immunity; (b) signals at the same data rate may reach further, thus increasing the effectiveness of the overall network deployment; and (c) higher data rates between G.hn nodes are possible. 4.1 Precoding and Waterfilling As defined in G.9963, PLC MIMO technology can be used in two distinct ways: with precoding and waterfilling. With precoding, two data streams are transmitted and throughput is maximized at the receiver, boosting performance. Waterfilling is used to offset poor performing sub-carriers in one channel by turning their power off and boosting the same sub-carriers in the second channel. Waterfilling results in the same power applied to the line, still within regulatory limits, but instead of the power being divided over two channels; on a per sub-carrier basis power is turned off on one and raised on the corresponding one in the other channel to improve signal strength (SNR), and thus throughput and robustness against noise, at the receiver. » Figure 5: Bit loading per sub-carrier on the two MIMO channels 9 HomeGrid Forum | For any wire, anywhere in your home With waterfilling, the same data stream is transmitted over the two paths with slightly different phase signals so that signals combine coherently at the receiver to deliver a better signal, boosting coverage and robustness to noise. » Figure 6: Waterfilling of sub-carriers Both precoding and waterfilling techniques can be combined on the same data connection as they are performed on a sub-carrier basis. When sub-carriers experience negligible noise, precoding is favored whereas for sub-carriers with substantial noise on a channel, waterfilling is preferred, thus maximizing overall performance and robustness to noise. The net effects of precoding and waterfilling can result in a boost of 3 dB in signal strength versus MIMO without them. This 3 dB increase translates into longer reach for the same throughput level and/or higher robustness to noise over the same reach, resulting in a higher delivered throughput. 4.2 Mixed Mode Operation While MIMO is the typical operational mode for a G.hn PLC MIMO node, there are cases where the far end node, in-home electrical wiring, or the socket types used, may preclude MIMO operation. The following table shows the resulting communication mode (SISO, SIxO, SIMO, MISO, or MIMO) between a transmitter and receiver, given the transceiver and socket types. If a socket type is 3-wire, it is assumed for the purposes of the Table that three wires are attached to the socket. 10 HomeGrid Forum | For any wire, anywhere in your home » Table 1: Communication modes possible for different G.hn node types on 2 and 3-wire sockets • SISO • SIxO • SIMO • MISO • MIMO Receive node type single input, single output single input, one or more output single input, multiple outputs multiple inputs, single output multiple inputs, multiple outputs Transmit node type To 2-wire sockets G.hn SIxO G.hn MIMO To 3-wire sockets G.hn SIxO G.hn MIMO From 2-wire sockets G.hn SIxO SISO SISO SIxO SIMO G.hn MIMO SISO SISO SIxO SIMO From 3-wire sockets G.hn SIxO SISO SISO SIxO (Note 3) SIMO G.hn MIMO SISO SISO MISO or MIMO MIMO Note: 1. The use case of 3-wire sockets and cabling is the predominant one globally, enabling full MIMO service 2. Two-wire sockets are assumed to be connected with two-wire cables and three-wire sockets assumed to be connected with three-wire cables 3. SIxO over 3-wire links may use Path Diversity to improve performance The table highlights another benefit of G.hn PLC with MIMO. When MIMO G.hn nodes are added to an existing G.hn network that includes non-MIMO nodes, their ability to improve reception over threewire sockets, even from non-MIMO nodes, will improve overall network efficiency, while coordinated channel use from MIMO to SISO devices improves their reception as well. 4.3 Comparing G.hn with Other PLC Technologies G.hn uses a more robust and efficient signaling method and MAC layer than legacy PLC technologies. Therefore, G.hn PLC using only a single transmitter and single receiver (SISO mode) performs better than its rivals, achieving a maximum data rate nearly three times its fastest standardized competition (IEEE 1901 FFT with the optional 50 MHz band5) and more than four times HomePlug AV, or any 30 MHz IEEE 1901 PHY. In this scenario, G.hn in SISO mode has been compared with these legacy SISO PLC technologies. G.hn PLC with MIMO can achieve a further near 2-fold increase in PHY data rate, making it up to five times faster than the fastest standardized PLC competitor and more than nine times faster than HomePlug AV. Note that all these comparisons are based on comparable PHY rate calculations and theoretical limits. G.hn PLC MINO 100 Mhz G.hn PLC MINO 50 Mhz G.hn PLC SISO 100 Mhz 1901 FFT (50 Mhz opt.) 1901 30 Mhz HomePlug AV G.hn coax MoCA 2.x (100 Mhz) MoCA 1.x HomePNA (coax) 0 Mbps 500 1000 1500 2000 2500 » Figure 7: Comparing published maximum theoretical PHY rates of several network technologies 5 IEEE 1901 defines two completely non-interoperable PLC MAC/PHY technologies, ‘1901 FFT’ and ‘1901 Wavelet.’ Both define mandatory 2-30 MHz operation while 1901 FFT has an optional 30-50 MHz band. To keep confusion low, the term ‘1901 FFT with optional 50 MHz band’ references 1901 FFT performance over the 2-50 MHz range.d 5/6 to show a much more conservative scenario. 11 HomeGrid Forum | For any wire, anywhere in your home There is an ever increasing “need for speed” to satisfy consumers’ desire for the fastest, most reliable network in their homes delivering high bit rate communications services and content anywhere, at any time. Theoretically, SIxO PLC mode G.hn can achieve more than 950 Mbps wire speed while G.hn PLC mode with MIMO is able to double this to more than 1.9 Gbps.6 Under more real-world conditions, over 400 Mbps application layer throughput is possible with G.hn PLC with MIMO increasing this to 675 Mbps. Therefore G.hn with MIMO comprehensively satisfies both today’s need for speed in the home network, and will continue to do so for the foreseeable future. 5 PLC MIMO NN Mitigation — A Unique G.hn Strength Multiple Input, Multiple Output (MIMO) is a means of using multiple transmit paths and receive paths when 3-wire cabling and sockets are used in residences. However, MIMO may actually exacerbate neighboring network (NN) interference in that it may enable PLC signals from one multidwelling unit (MDU) building living unit to reach another unit with a stronger overall signal. The following Figure (Figure 8) depicts the paths each type of electrical service wire and PLC signal may take between two apartments. As stated previously, the power leads have higher attenuation than other lead types due to transiting breakers and meters. Further, the neutral wire, used as a return path for single input, single output (SISO) PLC has substantial noise, lowering signal integrity and possible detection. The power lead attenuation and neutral lead noise, in most cases, is not enough to eliminate inter-unit network interference, however. Meanwhile, earth ground, which is used as the return path for the MIMO second channel, has less noise and therefore enables a higher PLC signal level inter-unit, increasing the likelihood for neighboring PLC network interference. Legacy PLC technologies may require the user or service provider to install blocking filters as well as a time division methodology to handle neighboring network interference. The filters are relatively expensive and may not resolve the matter fully; moreover, neither of these steps works well in a NN situation due to propagation and the stronger signals due to MIMO. 6 The theoretical nature of PLC numbers comes into play here as the ability of a MIMO link to deliver more than 2 x the SISO rate is well documented in papers, yet real world numbers vary widely depending on several factors such as noise conditions, length of the cable link between nodes, and the topology of the power cabling. A conservative estimate is 1.7 times the SISO rate, this is the rate used throughout the text. 12 HomeGrid Forum | For any wire, anywhere in your home Apartment A TX node Apartment B Meter Meter 01234 01234 RX node Breaker Neutral RX node to/from other apartments Breaker MIMO Neutral MIMO Ground Ground Breaker Panel Breaker Panel TX node Power Riser Power Neutral Ground to/from other apartments » Figure 8: PLC signals crossing between MDU apartments G.hn’s neighboring domain interference mitigation (NDIM) functions enable G.hn PLC networks to operate in MIMO mode and still overcome NN interference, including coping with the increased interference due to MIMO in MDU buildings. 6 Summary PLC has come of age with the arrival of G.hn. G.hn PLC takes a technology, which was only capable of “best effort” data transport, and places it on par with coax and the other wireline media that have high throughput and Quality of Service capabilities (e.g. Cat 5 cable). The G.9963 MIMO enhancement to G.hn enables G.hn PLC nodes to outperform any other PLC technology while remaining fully interoperable with existing G.hn non-MIMO PLC nodes. G.hn’s MIMO enhancement uses Spatial Multiplexing, Precoding, and Waterfilling to maximize performance in three ways: under high noise conditions, over extended distances, and by increasing the data rate by nearly a factor of 2. Moreover, G.hn’s Neighboring Networks technology avoids the interference that afflicts other PLC technologies in MDUs, with or without MIMO. The bottom line is that improvements in G.hn with MIMO take a technology that already outperformed its contemporaries, and makes it by far the fastest and most robust wired home networking choice available, and it avoids the need to install new wires. 13 HomeGrid Forum | For any wire, anywhere in your home There is the prospect of further enhancements as the HomeGrid Forum and ITU-T continuously work on improving how data can be moved not just fast, but completely error-free over the home network, enabling “connectivity anywhere” with the delivery of multiple streams of high data rate content, such as HD TV, anywhere in the home. Acting as the backbone of a hybrid network, G.hn is designed to meet network requirements today and into the future. REFERENCES 1 “Field Testing of High-Speed Power Line Communications in North American Homes,” Barry O’Mahony, Intel, 1-4244-0113-5/06, 2006, IEEE International Symposium on Powerline Communications and its Applications (ISPLC). 14 HomeGrid Forum | For any wire, anywhere in your home Appendix I. Calculating G.hn PLC Data Rate Numbers The following table lists variables and frequency ranges, and provides the calculated possible G.hn PLC mode PHY (on the wire) and MAC (application throughput) data rates. Calculating the data rates for PLC is not an exact science as each pair of nodes in any PLC network experiences its own unique set of obstacles to communication, and such obstacles may be time varying in nature and intensity. Further, PLC transmission is subject to factors related to frequencies (e.g., low frequencies are more subject to noise, while higher frequencies experience high attenuation). Therefore, the following values are presented only for comparison. Included here are the theoretical maxima for G.hn PLC mode with and without MIMO, with examples of more real world numbers under various conditions. These assume a “clean” connection, with no retransmissions required. Retransmissions are used to resend errored data that was not resolved through forward error correction. Retransmissions ensure error-free data delivery but result in lower data throughput. Column Designations: 100 MHz Theoretical Maximum for G.hn MIMO, no notches 100 MHz G.hn MIMO with International Ham notches but without the FM notch 100 MHz G.hn MIMO with the International Ham notches and the FM notch 100 MHz Theoretical Maximum of G.hn SISO, no notches 100 MHz G.hn SISO with the International Ham notches and the FM notch 50 MHz G.hn SISO & MIMO at its theoretical maximum, no notches 50 MHz G.hn SISO & MIMO with International Ham notches 15 HomeGrid Forum | For any wire, anywhere in your home » Table 2: Calculated rates for G.hn PLC bandplans with SISO & MIMO given various conditions7 Example Type A B C D E F G 2-100 2-100 2-100 2-100 2-100 2-50 2-50 Avg. bits per carrier8 12 7.79 8.3 12 8.3 12 9.75 International Ham bands notched No Yes Yes No Yes No Yes Notched at 80 MHz for FM No No Yes No Yes NA NA Highest used frequency 100 100 80 100 80 50 50 Effective spectrum used (MHz) 98 90.45 70.45 98 70.45 48 44.45 Frequency Range (MHz) 128 128 128 128 128 128 128 20/21 5/6 5/6 20/21 5/6 20/21 5/6 Non-MIMO PHY rate (Mbps) 959.12 573.08 475.12 959.12 475.12 469.76 381.63 Non-MIMO MAC rate (Mbps) 913.44 477.57 395.93 913.44 395.93 447.39 318.02 2.0 1.7 1.7 2.0 1.7 PHY rate with MIMO (Mbps) 1918.23 974.24 807.7 939.52 591.8 MAC rate with MIMO (Mbps) 1826.89 811.87 673.08 894.78 493.17 No. of payload symbols FEC rate9 MIMO factor 10 Note: While G.hn defines transmissions up to 100 MHz over any wireline medium, the G.hn standard notches the PLC frequency bands above 80 MHz to avoid the FM radio spectrum. Operation above 80 MHz, while possible with G.hn PLC, is not recommended unless regulatory and FM interference issues are resolved. See (http://www.itu.int/ITU-R/index.asp?category=conferences&rlink=itu-plt-forum11&lang=en). This includes extending the operation of G.hn up to 86 MHz, which can be done if FM issues are resolved. The reasoning behind placing the notch at 80 MHz instead of just below the actual lowest frequency of the FM bands (86 MHz) is due to the practicalities of system and silicon design to ensure there are no side lobes or cross frequency interference into the FM band. Serious consideration was given to this matter and a very conservative 80 MHz limit was agreed upon between radio and PLC experts. Those claiming their technology operates above this 80 MHz frequency may be creating FM interfering systems or are making marketing claims that do not reflect the actual frequency their products operate up to when installed in the field. 7 Conditions calculated as the same over each path, although they will differ in the field. Moreover, the FEC rate is fixed per example to simplify the table. International Ham bands are notched in all examples but the theoretical maximums (columns A, D & F). 8 The values used for average bpc are: either 12 bpc in all frequency ranges to show the theoretical maximum or the following assignments: 11 bpc used for 2-30 MHz, 8 bpc for 30-50 MHz, and 6 for above 50 MHz 9 The FEC values used are either 20/21 to show the theoretical limit and 5/6 to show a much more conservative scenario 10The MIMO multiplier of 1.7 is a reasonable factor while the factor of 2 is a theoretical number used to show a near maximum result. The MIMO factor is dependent on several aspects such as SNR, where the lower the SNR the lower the MIMO factor. The factor may range up to 2 times or more versus the non-MIMO rate. 16