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Outline Smart power grids Powerline noise Receiver design Testbeds

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0 Smart Grid Communications
2013 National Instruments Week Smart Grid Communications Prof. Brian L. Evans Dept. of Electrical & Computer Engineering Wireless Networking & Communications Group The University of Texas at Austin 7 August 2013 In collaboration with Ms. Jing Lin, Mr. Yousof Mortazavi, Mr. Marcel Nassar & Mr. Karl Nieman at UT Mr. Mike Dow & Dr. Khurram Waheed at Freescale Semiconductor (Austin) Dr. Anuj Batra, Dr. Anand Dabak & Dr. Il Han Kim at Texas Instruments (Dallas) Dr. Doug Kim, Mr. James Kimery, Mr. Mike Trimborn and Dr. Ian Wong (NI) Austin, Texas USA

1 Outline Smart power grids Powerline noise Receiver design Testbeds
Types Modeling Receiver design Testbeds Conclusion ISTOCKPHOTO.COM/© SIGAL SUHLER MORAN IEEE Signal Processing Magazine Special Issue on Signal Processing Techniques for the Smart Grid, September 2012.

2 Smart Grid Wind farm Central power plant HV-MV Transformer
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Smart Grid Wind farm Central power plant HV-MV Transformer Grid status monitoring Utility control center Smart meters Integrating distributed energy resources Houses Offices Traditional power grids have been coupled with communication networks today, leading to so-called smart grids. A smart grid enables information flow among various components of the grid, ranging from power plants to distributed energy resources, and from local utilities to residential and commercial customers. The purpose is to better monitor and control power generation and consumption. For example, distributed energy resources, such as solar power, fuel power and other personally-owned energy storage, can be integrated to the grid to provide low-cost or standby energy during peak hours. Transducers deployed over the grids are used to collect measurement data for grid status estimation and outage detection. Smart meters can be used for time-dependent pricing, which motivates customers to scale back their energy usage during peak hours, and also device-specific billing, so that the house owner doesn’t have be pay electric bills for charging his friend’s electric vehicle. In addition, smart buildings and smart homes can be energy efficient with automated lights, air conditioners and other smart appliances. Device-specific billing Automated control for smart appliances Medium Voltage (MV) 1 kV – 33 kV three phase High Voltage (HV) 33 kV – 765 kV three phase Industrial plant

3 Smart Grid Goals Improve asset utilization and operating efficiencies
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Smart Grid Goals Improve asset utilization and operating efficiencies Reduce peak load (generation cost 30x vs. average load) Reduce excess power generation (12% margin in US) Accommodate all energy sources (renewable, storage) Scale grid voltage with energy demand Smart meter communications Communicate grid load snapshots to utility for analysis Enable reduction of peak demand (e.g. duty cycling AC and scaling billing rate) Monitor power quality Disconnect/reconnect remotely Notify outage/restoration event Enable informed customer participation 75M smart meters sold in 2011 EU goal of 80% smart meter deployments by 2020 Source: Jerry Melcher, IEEE Smart Grid Short Course, 22 Oct. 2011, Austin TX USA

4 Smart Meter Communications
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Smart Meter Communications Communication backhaul carries traffic between concentrator and utility on wired or wireless links Local utility MV-LV transformer Smart meters Data concentrator Smart meter communications between smart meters and data concentrator via powerline or wireless links On the distribution side of the grids, the communications between a local utility control center and its customers plays an important role in local utility applications that I just mentioned. The local utility communicates with a number of data concentrators located at the medium-voltage lines in the US via communication backhaul. Each data concentrator is in charge of a few houses and can talk to them via the last mile communications to the smart meters. The smart meter serves as a gateway in the home area sensor networks that interconnect transducers on appliances and indoor power lines. Distances from Smart Meter to Data Concentrator: m in Europe/China/India and 3-4 km in US 3-4 Low voltage (LV) under 1 kV single phase Home area data networks connect appliances, EV charger and smart meter via powerline or wireless links

5 Wireless Smart Meter Communications
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Wireless Smart Meter Communications Use orthogonal frequency division multiplexing (OFDM) Communication challenges Channel distortion Non-Gaussian noise/interference in unlicensed bands Category Band Bit Rates Coverage Enables Standards Meter to customer 2.4 GHz Up to 250 kbps 100m Customer participation 802.11b/g (ZigBee) Meter to concentrator 900 MHz Up to 250 kbps 1000m Smart meter communication 802.11ah (draft) g Concentrator to utility Up to 800 kbps IEEE g will likely initially use frequency shift keying (FSK)

6 Powerline Communications (PLC) for Smart Meters
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Powerline Communications (PLC) for Smart Meters Use orthogonal frequency division multiplexing (OFDM) Communication challenges Channel distortion Non-Gaussian noise/interference Category Band Bit Rates Coverage Enables Standards Broadband MHz Up to 200 Mbps <1500 m Home area data networks HomePlug ITU-T G.996x IEEE P1901 Narrowband 3-500 kHz Up to 800 kbps Multi-kilometer Smart meter communication PRIME, G3 ITU-T G.990x IEEE P1901.2 The smart grid communications are supported by a heterogeneous set of network technologies, ranging from wireless to wireline solutions. Among the wireline alternatives, powerline communications, or PLC, have been deployed outdoor for last mile communications and indoor for home area networks. Narrowband PLC operating in the kHz band to deliver a few hundred kbps has been used for last mile communications over MV and LV lines. For home area networks, broadband PLC can provide several hundred Mbps in the MHz band. These PLC systems adopt multicarrier communications, or OFDM. (Introduce OFDM here)

7 Narrowband PLC Transceiver Design
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Narrowband PLC Transceiver Design Periodic bursty transmission of customer load profile Once every 15 minutes is common today and up to once every minute in future Uses carrier sense multiple access (CSMA) to see if medium is available OFDM transmission Most of transmission band unusable Pilot tones, and null tones on band edges and unused tones Channel modeling [Nassar12mag] Transfer functions – include effect of MV-LV transformer for US and Brazil Additive noise/interference – impulsive noise up to 40 dB higher than thermal Global synchronization to AC main frequency (50 or 60 Hz) PLC modem should consume less power than small light bulb (30W) Low power consumption should enable large-scale deployments Largest power consumption in power amplifier for transmission (e.g. 10V / 1.5A)

8 Types of Powerline Noise
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Types of Powerline Noise Background Noise Cyclostationary Impulsive Noise Asynchronous Impulsive Noise Spectrally shaped noise with 1/f spectral decay Periodic: Synchronous and asynchronous to half AC cycle Random impulsive bursts micro to milliseconds long Superposition of low intensity noise sources Switching power supplies and rectifiers Circuit transient noise and uncoordinated interference Present in all PLC Dominant in Narrowband PLC Dominant in Broadband PLC time

9 Periodic Noise from DC-DC Buck Converter
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Periodic Noise from DC-DC Buck Converter Spectrum has first peak at twice main AC frequency Harmonics at multiples of MOSFET switching frequency (16.9 kHz) Buck converter Resulting noise has periodicities in time domain at 120 Hz &16.9 kHz

10 Periodic Noise from DC-DC Buck Converter
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Periodic Noise from DC-DC Buck Converter Time-domain voltage output ripple varies periodically at 120 Hz Note: DC value has been filtered out Impulsive noise at switching transients Zoom in to see 16.9 kHz component

11 Cyclostationary Impulsive Noise
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Cyclostationary Impulsive Noise Medium Voltage Site Low Voltage Site Period is one half of AC cycle Segment: Segment: Field measurements collected jointly with Aclara and Texas Instruments near St. Louis, Missouri USA

12 Cyclostationary Impulsive Noise Modeling
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Cyclostationary Impulsive Noise Modeling Measurement data from UT/TI field trial Cyclostationary Gaussian Model [Katayama06] Proposed model uses three filters [Nassar12] Demux Period is one half of an AC cycle s[k] is zero-mean Gaussian noise Adopted by IEEE P narrowband PLC standard

13 Asynchronous Impulsive Noise Modeling
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Asynchronous Impulsive Noise Modeling Additive interference from multiple sources Assume source emissions are modeled by Poisson distribution Attenuation g(d) = exp(-a(f) d) where d is distance Interference from source i Homogeneous network Ex. Semi-urban areas, apartment complexes Middleton class A li = l, mi = m General (heterogeneous) network Ex. Dense urban and commercial settings Gaussian mixture model li, mi Middleton Class A is a special case of Gaussian mixture model

14 Asynchronous Noise Model Fitting
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Asynchronous Noise Model Fitting Homogeneous PLC Network General PLC Network Tail probabilities (which direct relate to communication performance) Models also work for additive uncoordinated wireless interference Middleton Class A for a Wi-Fi receiver in a Wi-Fi hotspot Gaussian mixture model for a Wi-Fi receiver in a cluster of Wi-Fi hotspots

15 OFDM Systems in Impulsive Noise
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion OFDM Systems in Impulsive Noise FFT in receiver spreads impulsive energy over all tones Signal-to-noise ratio (SNR) in each subchannel decreases Narrowband PLC systems operate over -5 dB to 5 dB in SNR Data subchannels carry same number of bits (1-4) in current standards Each 3 dB increase in SNR on data subchannels could give extra bit

16 Mitigating Impulsive Noise in OFDM Systems
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Mitigating Impulsive Noise in OFDM Systems A linear system with Gaussian disturbance Estimate the impulsive noise and remove it from the received signal Then apply standard OFDM decoder as if only AWGN were present

17 Proposed Non-Parametric Receiver Methods
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Proposed Non-Parametric Receiver Methods Exploit sparsity of impulsive noise in time domain Build statistical model each OFDM symbol using sparse Bayesian learning (SBL) At receiver, null tones contain only additive noise (Gaussian + impulsive) SNR gain vs. conventional OFDM systems at bit error rate 10-4 Complex OFDM, 128-point FFT, QPSK, data tones , rate ½ conv. code Test SBL algorithms using additive three-term Gaussian mixture model (GMM) noise and Middleton Class A (MCA) noise with A = 0.1 and  = 0.01 time System Noise SBL w/ null tones SBL w/ all tones SBL w/ decision feedback Uncoded GMM 8 dB 10 dB - MCA 6 dB 7 dB Coded 2 dB 9 dB 1.75 dB 6.75 dB 8.75 dB Every SNR gain of 3 dB could mean +1 bit/tone

18 Time Domain Interleaving
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Time Domain Interleaving Bursts span consecutive OFDM symbols Coded performance in cyclostationary noise Interleave Complex OFDM, 128-point FFT, QPSK, data tones , rate ½ conv. Code Burst duty cycle of 30% Bursts spread over many OFDM symbols PLC standards use frequency-domain interleaving

19 Testbed #1: Built on Previous DSL Testbed
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Testbed #1: Built on Previous DSL Testbed Adaptive signal processing algorithms for bit loading and interference mitigation Hardware Software NI x86 controllers stream data NI cards generates/receives analog signals TI front end couples to power line Transceiver algorithms in C on x86 Desktop LabVIEW configures system and visualizes results 1x1 Testbed

20 Testbed #2: Noise Playback/Analysis
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Testbed #2: Noise Playback/Analysis G3 link using two Freescale G3 PLC modems Freescale software tools allow frame-by-frame analysis Test setup allows synchronous noise injection into power line Freescale PLC G3-OFDM Modem One modem to sample powerline noise in field Collected 16k 16-bit 400 kS/s at each location Freescale PLC Testbed 20

21 Testbed #2: Cyclic Power Line Noise
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Testbed #2: Cyclic Power Line Noise Analyzed cyclic properties of PLC noise measurements Developed cyclic bit loading method for transmitter Receiver measures noise power over half AC cycle Feedback modulation map to transmitter Allocate more bits in higher SNR subchannels 2x increase in bit rate Won ISPLC 2013 Best Paper Award 21

22 Testbed #3: FPGA Implementation
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Testbed #3: FPGA Implementation Built NI/LabVIEW testbed with real-time link (G3 PLC settings) Redesigned parametric impulsive noise mitigation algorithm Based on approximate message passing (AMP) framework Converted matrix operations to distributed calculations on scalars Mapped transceiver to fixed-point data/arithmetic using Matlab Synthesized NI LabVIEW DSP Diagram onto Xilinx Vertex 5 FPGAs SNR gain of up to 8 dB Utilization Trans. Rec. AMP+Eq FPGA 1 2 3 total slices 32.6% 64.0% 94.2% slice reg. 15.8% 39.3% 59.0% slice LUTs 17.6% 42.4% 71.4% DSP48s 2.0% 7.3% 27.3% blockRAMs 7.8% 18.4% 29.1% Received QPSK constellation at equalizer output conventional receiver with AMP 22

23 Conclusion Powerline communication systems are interference limited
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Conclusion Powerline communication systems are interference limited Statistical models powerline interference Cyclostationary model is synchronous with zero crossings of AC cycle Gaussian mixture model is for asynchronous impulsive noise Interference mitigation algorithms give up to 10 dB of SNR gain Non-parametric sparse Bayesian learning algorithms do not map well to FPGAs Parametric distributed approximate message algorithms map well to FPGAs Future research for smart meter communications Use diversity of powerline and wireless links to data concentrator Maintain minimum quality link under extreme conditions Reduce power consumption in transmitter front end Project Web site:

24 Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion
References [Caire08] G. Caire, T.Y. Al-Naffouri, and A.K. Narayanan. Impulse noise cancellation in OFDM: an application of compressed sensing. Proc. IEEE Int. Symp. Information Theory, pages 1293–1297, 2008. [Cho04] J. H. Cho. Joint transmitter and receiver optimization in additive cyclostationary noise. IEEE Trans. on Information Theory, vol. 50, no. 12, 2004. [Garcia07] R. Garcia, L. Diez, J.A. Cortes, and F.J. Canete. Mitigation of cyclic short-time noise in indoor power-line channels. Proc. IEEE Int. Symp. Power Line Comm. and Its Applications, pp. 396–400, 2007. [Haring02] J. Haring. Error Tolerant Communication over the Compound Channel. Aachen, 2002. [Haring03] J. Haring and A. J. H. Vinck. Iterative decoding of codes over complex numbers for impulsive noise channels. IEEE Trans. on Information Theory, 49(5):1251–1260, 2003. [Katayama06] M. Katayama, T. Yamazato, and H. Okada. A mathematical model of noise in narrowband power line communication systems. IEEE J. Sel. Areas in Commun., vol. 24, no 7, pp , 2006. [Lampe11] L. Lampe. Bursty impulse noise detection by compressed sensing. Proc. IEEE Int. Symp. Power Line Commun. and Appl., pages 29–34, 2011 [Liano11] A. Liano, A. Sendin, A. Arzuaga, and S. Santos. Quasi-synchronous noise interference can- cellation techniques applied in low voltage PLC. Proc. IEEE Int. Symp. Power Line Comm. and Its Applications, 2011. [Lin11] J. Lin, M. Nassar, and B. L. Evans, “Non-Parametric Impulsive Noise Mitigation in OFDM Systems Using Sparse Bayesian Learning”, Proc. IEEE Int. Global Comm. Conf., 2011. [Lin12] J. Lin and B. L. Evans, “Cyclostationary Noise Mitigation in Narrowband Powerline Communications”, Proc. APSIPA Annual Summit and Conf., 2012.

25 Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion
References [Nassar09] M. Nassar, K. Gulati, M. DeYoung, B.L. Evans, and K. Tinsley. Mitigating near-field interference in laptop embedded wireless transceivers. Journal of Signal Proc. Systems, pp. 1–12, 2009. [Nassar11] M. Nassar and B.L. Evans. Low Complexity EM-based Decoding for OFDM Systems with Impulsive Noise. In Proc. Asilomar Conf. on Sig., Systems, and Computers, [Nassar12] M. Nassar, A. Dabak, I.H. Kim, T. Pande, and B.L. Evans. Cyclostationary noise modeling in narrowband powerline communication for smart grid applications. Proc. IEEE Int. Conf. on Acoustics, Speech and Sig. Proc., pages 3089–3092, 2012. [Nassar12mag] M.Nassar, J.Lin, Y. Mortazavi, A.Dabak, I.H.Kim and B.L.Evans, “Local Utility Powerline Communications in the kHz Band: Channel Impairments, Noise, and Standards”, IEEE Signal Processing Magazine, vol. 29, no. 5, pp , Sep [Nieman13] K. Nieman, J. Lin, M. Nassar, K. Waheed and B. L. Evans, “Cyclic Spectral Analysis of Power Line Noise in the kHz Band”, Proc. IEEE Int. Sym. on Power Line Communications and Its Applications, Mar , 2013. [Pauli06] V. Pauli, L. Lampe, and R. Schober. ”turbo dpsk” using soft multiple-symbol differential sphere decoding. IEEE Trans. on Information Theory, 52(4):1385–1398, 2006. [Raphaeli96] D. Raphaeli. Noncoherent coded modulation. IEEE Trans. on Comm., vol. 44, no. 2, pp. 172–183, 1996. [Tipping01] M.E. Tipping. Sparse Bayesian learning and the relevance vector machine. Journal of Machine Learning Research, vol. 1, pp. 211–244, 2001. [Umehara01] D. Umehara, M. Kawai, and Y. Morihiro. Performance analysis of noncoherent coded modulation for power line communications. Proc. Int. Symp. Power Line Commun. and Its Appl., pp. 291–298, 2001.

26 Backup Slides

27 Research Group Present: 9 PhD, 0 MS, 4 BS Alumni: 21 PhD, 9 MS, 142 BS
1376 alumni of real-time DSP course Communication systems Powerline communications (interference modeling & mitigation) Cellular, Wimax & Wi-Fi (interference modeling & mitigation) Mixed-signal IC design (mostly digital ADCs and synthesizers) Image processing Electronic design automation (EDA) tools/methods Part of Wireless Networking & Communications Group 160 grad students, 20 faculty members, 13 affiliate companies

28 Completed Projects System Contribution SW release Prototype Funding
20 PhD and 9 MS alumni System Contribution SW release Prototype Funding ADSL equalization Matlab DSP/C Freescale, TI 2x2 testbed LabVIEW LabVIEW/PXI Oil&Gas Wimax/LTE resource alloc. Underwater comm. space-time comm. large rec. arrays Lake Travis testbed UT Applied Res. Labs Camera image acquisition Intel, Ricoh Display image halftoning C HP, Xerox video halftoning Qualcomm Elec. design automation fixed point conv. FPGA Intel, NI distributed comp. Linux/C++ Navy sonar Navy, NI DSP: Digital Signal Processor PXI: PCI Extensions for Inst.

29 Current Projects System Contributions SW release Prototype Funding
9 PhD students System Contributions SW release Prototype Funding Powerline comm. interference reduction testbeds LabVIEW Freescale, TI modems Freescale, IBM, TI Wi-Fi interference reduction Matlab NI FPGA Intel, NI time-based analog-to-digital converter IBM 45nm TSMC 180nm Cellular (LTE) cloud radio access net. baseband compression Huawei Handheld camera reducing rolling shutter artifacts Android TI EDA reliability patterns NI

30 Simulated Performance
Symbol error rate in different noise scenarios ~10dB ~6dB ~6dB ~8dB ~4dB Gaussian mixture model Middleton class A model MMSE w/ (w/o) CSI: Parametric estimator assuming known (unknown) statistical parameters of noise CS+LS: A compressed sensing and least squares based algorithm

31 A Smart Grid Source: ETSI Integrating alternative energy sources
Communication to isolated area Power generation optimization Load balancing Disturbance monitoring Smart metering Electric car charging & smart billing Source: ETSI

32 Power Lines Built for unidirectional energy flow
Bidirectional information flow throughout smart grid will occur High Voltage (HV) 33 kV – 765 kV Medium Voltage (MV) 1 kV – 33 kV Low Voltage (LV) under 1 kV Transformer Source: ERDF

33 Today’s Power Grids in the United States
7 large-scale power grids each managed by a regional utility company 700 GW generation capacity in total for long-haul high-voltage power transmission Synchronized independently, and exchange power via DC transfer 130+ medium-scale power grids each managed by a local utility Local power distribution to residential, commercial and industrial customers Heavy penalties in US for blackouts (2003 legislation) Utilities generate expected energy demand plus 12% Energy demand correlated with time of day Effect of plug-in electric vehicles (EVs) on energy demand uncertain Generation cost 30x higher during peak times vs. normal load Traditional ways to increase capacity to meet peak demand increase Build generation plant $1B to $10B if new permit is issued Build transmission line at $0.6M/km which will take 5-10 years to complete Source: Jerry Melcher, IEEE Smart Grid Short Course, 22 Oct. 2011, Austin TX USA

34 Smart Power Meters at Customer Site
Enable local utilities to improve Operating efficiency System reliability Customer participation Automatic metering infrastructure functions Interval reads (every 1/15/30/60 minutes) and on-demand reads and pings Transmit customer load profiles and system load snapshots Power quality monitoring Remote disconnect/reconnect and outage/restoration event notification Need low-delay highly-reliable communication link to local utility 75M smart meters sold in 2011 (20% increase vs. 2010) Source: Jerry Melcher, IEEE Smart Grid Short Course, 22 Oct. 2011, Austin TX USA

35 Local Utility Powerline Communications (PLC)
PLC modems (PRIME, etc.) use carrier sensed multiple access to determine when the medium is available for transmission MV router plays similar role as a Wi-Fi access point

36 Sources of Powerline Noise
Uncoordinated transmission Power line disturbance Taken from a local utility point of view Electronic devices

37 PLC In Different Frequency Bands
Category Band Bit Rate Applications Standards Ultra Narrowband 0.3 – 3 kHz ~100 bps Automatic meter reading Outage detection Load control N/A Narrowband 3 – 500 kHz ~500 kbps Smart metering Real-time energy management PRIME, G3 ITU-T G.hnem IEEE P1901.2 Broadband 1.8 – 250 MHz ~200 Mbps Home area networks HomePlug ITU-T G.hn IEEE P1901 All of the above standards are based on multicarrier communications using orthogonal frequency division multiplexing (OFDM).

38 Physical Layer Parameters for OFDM Narrowband PLC Standards
CENELEC A band is from 3 to 95 kHz. FCC band is from to kHz. PRIME and G3 use real-valued baseband OFDM. Others are complex-valued.

39 Comparison Between Wireless and PLC Systems
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Comparison Between Wireless and PLC Systems Wireless Communications Narrowband PLC (3-500 kHz) Time selectivity Time-selective fading and Doppler shift (cellular) Periodic with period of half AC main freq. plus lognormal time-selective fading Power loss vs. distance d d –n/2 where n is propagation constant e – a(f) d plus additional attenuation when passing through transformers Propagation Dynamically changing Determinism from fixed grid topology Synchronization Varies AC main power frequency Additive noise/ interference Assumed stationary and Gaussian Gaussian plus non-Gaussian noise dominated by cyclostationary component Asynchronous interference Uncoordinated users in Wi-Fi bands; Frequency reuse in cellular Due to power electronics and uncoordinated users using other standards MIMO Standardized for Wi-Fi and cellular Number of wires minus 1; G.9964 standard for broadband PLC

40 Cyclostationary Impulsive Noise
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Cyclostationary Impulsive Noise Linear periodically time-varying system model Period (half of the AC cycle) is partitioned into M segments Noise within each segment is stationary Hi - Linear time invariant filter N - Period in samples Segment:

41 Asynchronous Impulsive Noise Modeling
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Asynchronous Impulsive Noise Modeling Wireless Emissions Uncoordinated Meters (coexistence) Total interference at receiver: Interference from source i

42 Two Asynchronous Impulsive Noise Models
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Two Asynchronous Impulsive Noise Models Gaussian Mixture Model (isotropic, zero-centered) Amplitude distribution Middleton Class A (without additive Gaussian component) Special case of the Gaussian Mixture Model Also model for additive uncoordinated wireless interference Middleton Class A for a Wi-Fi receiver in a Wi-Fi hotspot Gaussian mixture model for a Wi-Fi receiver in a cluster of Wi-Fi hotspots

43 Non-Gaussian Noise: Challenge to PLC
Performance of conventional communication system degrades in non-AWGN environment Statistical modeling of powerline noise Noise mitigation exploiting the noise model or structure Listen to the environment Estimate noise model Use model or structure to mitigate noise

44 Narrowband PLC Systems
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Narrowband PLC Systems Problem: Non-Gaussian impulsive noise is primary limitation to communication performance yet traditional communication system design assumes additive noise is Gaussian Goal: Improve communication performance in impulsive noise Approach: Statistical modeling of impulsive noise Solution #1: Receiver design (standard compliant) Solution #2: Joint transmitter-receiver design Parametric Methods Nonparametric Methods Listen to environment No training necessary Find model parameters Learn statistical model from communication signal structure Use model to mitigate noise Exploit sparsity to mitigate noise

45 Parametric vs. Nonparametric Noise Mitigation
Must build a statistical model of the noise Yes No Requires training data to compute model parameters Degrades in performance due to model mismatch Has high complexity when receiving message data Prior receiver methods to cope with non-Gaussian noise can be categorized as parametric and nonparametric approaches. Parametric methods assumes a statistical noise model, estimates model parameters during a training stage, and use that to mitigate noise during data transmissions. These methods generally allow low-complexity implementations during the transmission stage. However, in time-varying noise statistics, re-training is needed which introduces extra overhead. Otherwise performance degradation can be expected due to model mismatch. Nonparametric methods, on the other hand, require no additional training since they don’t assume any noise models. Instead they denoise the received signal by exploiting certain sparsity structure of the noise. These methods are more robust in various noise environments since it doesn’t rely on statistical models but the sparse structure of the noise. However, the denoising algorithms are generally of high computational complexity.

46 Cyclostationary Noise Modeling in Narrowband PLC (3-500 kHz)
1. M. Nassar, A. Dabak, I. H. Kim, T. Pande and B. L. Evans, “Cyclostationary Noise Modeling In Narrowband Powerline Communication For Smart Grid Applications”, Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Proc., Mar , 2012, Kyoto, Japan. 2. M. Nassar, J. Lin, Y. Mortazavi, A. Dabak, I. H. Kim and B. L. Evans, “Local Utility Powerline Communications in the kHz Band: Channel Impairments, Noise, and Standards”, IEEE Signal Processing Magazine, Special Issue on Signal Processing Techniques for the Smart Grid, Sep. 2012, 14 pages.

47 Impulsive Noise in Broadband PLC: Modeling and Mitigation
3. M. Nassar, K. Gulati, Y. Mortazavi, and B. L. Evans, “Statistical Modeling of Asynchronous Impulsive Noise in Powerline Communication Networks”, Proc. IEEE Int. Global Communications Conf., Dec. 5-9, 2011, Houston, TX USA. 4. J. Lin, M. Nassar and B. L. Evans, “Non-Parametric Impulsive Noise Mitigation in OFDM Systems Using Sparse Bayesian Learning”, Proc. IEEE Int. Global Communications Conf., Dec. 5-9, 2011, Houston, TX USA.

48 Statistical-Physical Modeling
Interference from a single source Emission duration: geometrically distributed with mean μ Pulse arrivals: homogeneous Poisson point process with rate λ Assuming channel between interference source and receiver has flat fading k pulses in a window of duration T (k) (j) (2) (1) Noise envelope Tk Pulse emission duration τj Pulse arrival time t=0

49 Parametric Vs. Non-Parametric Methods
Noise in different PLC networks has different statistical models Mitigation algorithms need to be robust in different noise scenarios Parametric Methods Non-Parametric Methods Assume parameterized noise statistics Yes No Performance degradation due to model mismatch Training needed

50 Non-Parametric Mitigation Using Null Tones
A compressed sensing problem Exploiting the sparse structure of the time-domain impulsive noise Sparse Bayesian learning (SBL) Proposed initially by M. L. Tipping A Bayesian inference framework with sparsity promoting prior J : Index set of null tones FJ : DFT sub-matrix e: Impulsive noise in time domain g: AWGN with unknown variance

51 Sparse Bayesian Learning
Bayesian inference Sparsity promoting prior: Likelihood: Posterior probability: Iterative algorithm Step 1: Maximum likelihood estimation of hyper-parameters (γ, σ2) Solved by expectation maximization (EM) algorithm (e is latent variable) Step 2: Estimate e from the mean of the posterior probability, go to Step 1

52 Non-Parametric Mitigation Using All Tones
Joint estimation of data and noise Treat the received signal in data tones as additional hyper-parameters Estimate of is sent to standard OFDM equalizer and symbol detector : Index set of data tones z : Received signal in frequency domain

53 Time-Domain Interleaving
Smart grids – Powerline noise – Receiver design – Testbeds – Conclusion Time-Domain Interleaving Coded performance in cyclostationary noise Burst duty cycle 10% Burst duty cycle 30% Time-domain interleaving over an AC cycle Current PLC standards use frequency-domain interleaving (FDI)


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