On joint CFO and channel estimation in single-user and multi-user OFDM systems
|
|
- Abel Shields
- 5 years ago
- Views:
Transcription
1 On joint CFO and channel estimation in single-user and multi-user OFDM systems Yik-Chung Wu The University of ong Kong Webpage: 1
2 OFDM basics exp(j2pt/t) exp(j2p(2t)/t) Digital implementation S IFFT P/S exp(j2p(3t)/t) exp(j2p(4t)/t) F t F -1 f Challenges: Time offset, frequency offset, unknown channel 2
3 Outline Conventional OFDM [1] ML estimator under timing uncertainty Two ML estimators Relationship and comparison OFDMA [2] ML estimator Optimization theorem Importance sampling MIMO-OFDM [3] CRB and ascrb Optimal training Performances of different kinds of training 3
4 Conventional OFDM Packet structure Preamble section Variable number of OFDM symbols AGC & rough timing syn CFO & Channel estimation... q o 0 Observation window / FFT window Energy spill from the previous symbol ISI free region 4
5 Two equivalent signal models If the FFT window starts in the ISI-free region: Γ( o ) 2 p / o o N ( ) T q o F D F L h x Γ( ) T( q ) F DF h v If we treat the delay as part of the channel: x Γ( ) F DF ξ v o o : Cyclic shift matrix : N N FFT matrix : L 1 channel vector where ξ [0 h 0 ] o jn o e : Diagonal matrix with (n=0,1,...n-1) on the diagonal : Normalized frequency offset : Diagonal matrix with training data on the diagonal : First L columns of F matrix L cp T T T T q 1 ( L q L) 1 o cp o L (1) (2) 5
6 Two ML estimators For the first system model, with A(q)=T(q)F DF L, { ˆ, ˆ q, hˆ } arg min [ x Γ( ) A( q ) h] [ x Γ( ) A( q ) h] q,, h Since h is linear in the system model, ML for h is ˆ 1 ( ) ( ( ) ( )) ( ) ( ) h FL D DFL Γ A q x A q Γ x Put 2 nd eq. into the 1 st eq. and dropping the irrelevant terms, we have q, Eq. (3) requires a two-dimensional search { ˆ, ˆ q} arg max A ( q ) Γ ( ) x (3) 2 6
7 Two ML estimators (cont.) With similar procedure applied to the second system model, we have ˆ ξ FL D FΓ ( ) x cp ˆ arg max FL D FΓ ( ) x cp Eq. (4) only requires a one-dimensional search Which estimator is better? Number of unknown parameters: L+2 vs L cp +1 The first estimator will perform better But with the price of higher complexity (due to 2-D search) 2 (4) 7
8 Physical interpretation The cost functions in the two estimators are equivalent to J 1 (, q ) F (:, q : q L1) D FΓ ( ) x J 2 ( ) F (:,0 : L 1) D FΓ ( ) x They represent the energies of different sections of the vector It can be shown that if o is a shifted time domain channel estimate cp h( ) F D FΓ ( ) x, h( ) 2 2 h( o ) 8
9 Physical interpretation (cont.) J 2 (, q ) h ( ), J ( ) h ( ) 1 qq : L1 2 0: 1 L cp 2 Observation window for JCCE L cp L Shifting trial window for JTCCE First estimator (JTCCE): Locating a window of length L and finding an s.t. the energy within the window is maximized Second estimator (JCCE): Find an s.t. the energy within the window from 0 to L cp is maximized JCCE can be interpreted as an approximation to JTCCE by using a large window during frequency estimation q o L Optimal window for JTCCE N 9
10 Performance analysis The MSE and CRB expressions for the two estimators can be derived in closed form (eqs. not presented here) Analytical performance comparison: r F (:, L: L 1) D FMF DFLh D FMF DF h MSE2 cp MSE 1 F (:, Lcp : N 1) The second term is the ratio between two projections of a common vector onto different subspaces of F When N is large, dimension of F(:,L:L cp -1) << that of F(:,L cp :N-1) Two estimators are asymptotically equivalent L 2 10
11 Numerical results N=64, N cp =16, L=8 Training: Chu sequence Rayleigh fading channel Exponential delay profile Normalized CFO uniformly distributed in [-0.5,0.5] q o uniformly distributed in the ISI-free region 11
12 12
13 16QAM 5 OFDM symbols after the preamble 13
14 Summary Based on two different signal models, two ML estimators for joint CFO and channel estimation with timing ambiguity have been derived The first estimator needs a 2-D search The second estimator only requires 1-D search The first estimator perform slightly better than the second one, with the price of higher complexity Asymptotically, the two estimators are equivalent 14
15 OFDMA uplink... User 1 User 2 User 3 Each user modulates an exclusive set of subcarrier Subcarrier can be allocated blockwise, interleaved, or arbitrarily Challenges: Different user have different timing delays, CFOs and channels f 15
16 Timing offset problem The user s timing is roughly synchronized using the downlink synchronization channel Timing offsets in the uplink are mainly due to the propagation delay from different users => Limited to a few samples Can be treated as part of the channel Called this quasi-synchronous system As long as max(l k +q k ) < L cp, we will have an observation window free of ISI Observation window CP CP User 1 q 1 +L 1 CP CP User 2 q 2 +L 2 CP CP User 3 q 3 +L 3 16
17 System model Signal of user k x Γ( ) F D F h D k h k Received signal Or in matrix form k k k L k : Diagonal matrix with training data for user k : User s k channel, including the time delay q k K x Γ( ) F D F h n k1 xq( ω) h n k k L k Q( ω) [ Γ( ) F D F Γ( ) F D F... Γ( ) F D F ] 1 1 L 2 2 L K K L h [ h h... h ] T T T T 1 2 K Goal: To estimate and h, based on a single OFDM training symbol 17
18 ML joint CFO and channel estimator Based on the standard procedure of deriving ML estimator, we have ˆ arg max{ ( )( ( ) 1 ( )) ( ) } ω ˆ ˆ ˆ 1 ˆ ω x Q ω Q ω Q ω Q ω x h ( Q ( ω) Q( ω)) Q ( ω) x Multi-dimensional search in Computational expensive Exhaustive search impossible for K 3 Possible method: alternative projection owever, no guarantee of global maximum solution We employ an optimization theorem to solve this problem 18
19 Simple solution in asymptotic case If the number of subcarrier N, it can be shown that ( Q ( ω) Q( ω)) where A k =F D k F L 1 1 ( A1 A1) 0 0 ( AKAK) Therefore, the optimal CFO estimator can be decoupled as 1 ˆ argmax{ x Γ( ) A ( A A ) A Γ ( ) x} k k k k k k k k For large enough but finite N, it can be viewed as an approximate solution For small N, it suffer great performance loss 1 19
20 Optimization theorem Optimization theorem by Pincus [R1]: The global optimal solution (if it is unique) for a multi-dimensional optimization problem maximizing is given by 1 L'( ω)... k exp( 1L'( ω)) dω ˆ k lim k 1,..., K 1... exp( L'( ω)) dω Good news: If we are smart enough to perform the integration, we can get the optimal solution analytically!! Bad news: The integration usually is too complex to be computed analytically Physical meaning of the theorem: Taking exponential make the largest peak in L () peaker and other smaller peaks lower When 1 is large enough, exp( 1 L ()) will have only a single peak The maximum point is the mean of the resultant function (5) [R1] M. Pincus, A closed form solution for certain programming problems, Oper. Res., pp ,
21 Approximation by sample mean The optimization theorem can rewritten as (for large 1 ) ˆ... L k k ( ) d k 1,..., K where L( ω) ω ω exp( L'( ω)) 1... exp( L'( ω)) dω 1 is termed pseudo-pdf This is just the statistical mean of k w.r.t. PDF L( ω) If we can generate a large number of realization of k according to the PDF L( ω), the integration can be approximated by the sample mean T 1 i ˆ k k k 1,..., K T i1 Then the question becomes how to generate samples from L( ω) 21
22 Importance sampling In general, generating samples directly from L( ω) is difficult since it is a multi-dimensional PDF Generating realization from an arbitrary but fixed PDF is a well-studied problem in statistics ere, we use a technique called importance sampling It is based on the observation that L( ω) ˆ k... k L( ω) dω... k g( ω) dω g( ω) g( ω) where g( ω) is called normalized importance function... g( ω) dω If g( ω) is chosen s.t. realization of k can be easily generated T i 1 i L( ω ) ˆ k k i T g( ω ) i1 22
23 Further simplification In our problem, k is the CFO, so it is a circular R.V. The estimator can be further rewritten as T i T i 1 i L( ω ) 1 1 i L( ω ) ˆ k k exp( j2 k ) i p i T g( ω ) 2 p T g( ω ) where L()=exp( 1 x Q(Q Q) -1 Q x) is the non-normalized version of L( ω) and g() is the non-normalized version of g( ω) Advantages: i1 i1 Eliminates potential bias Computation of normalization constants for L() and g() can be avoided 23
24 Choosing g() By the strong laws of large number, the estimate ˆk will converge to optimal value, regardless of choice of g() Choice of g() only affects computational complexity ow fast the estimate converge to the true value General guidelines for choosing g() : Easy sample generation Close to L() in order to reduce variance of the estimate From the discussion in asymptotic case, propose to choose g() as (with 2 < 1 ) g K 1 ( ω) exp( 2 k1x Γ( k ) Ak ( Ak Ak ) Ak Γ ( k ) x) K 1 k1exp( 2x Γ( k ) Ak ( Ak Ak ) Ak Γ ( k ) x) g k ( ) k 24
25 Numerical results N=64, L cp =16, L=8, no time delay, random subcarrier allocation, k uniformly distributed [-N/2,N/2] 1 =2/K, 2 =1/K, T=2000 Training: constant modulus white seq in frequency domain hˆ h K 2 2 MSE ˆ CFO k1( k k ), MSEch 25
26 Asymptotic performance 26
27 Complexity comparison Complexity order has been derived for the proposed estimator, the decoupled estimator and the alternative projection method (APFE) 27
28 Summary Direct implementation of ML joint CFO and channel estimation is impractical due to the multi-dimensional search An optimization theorem, together with the importance sampling technique is used to solve this problem The proposed method can guarantee global optimality without the need of providing a good initial estimate 28
29 Multi-user MIMO-OFDM system Assume quasi-synchronous s.t. the small time delays can be lumped into the channels With spatial multiplexing (e.g., BLAST), each user is using all the subcarriers at the same time The receive antennas at BS share the same oscillator All users are driven by different oscillators Can be easily generalized to the case where user equips with more than one antenna 29
30 System model Received signal (one OFDM symbol) at the jth receive antenna K x 1 Γ( ) A h n Stack all the received vector from different receive antenna where j i i i ij j xq( ω) h n x [ x x... x ], n [ n n... n ] T T T T T T T T 1 2 M 1 2 M h [ h h... h ] with h [ h h... h ] T T T T T T T T 1 2 M j 1 j 2 j Kj Q( ω) I [ Γ( ) A... Γ( ) A ] with A F D F M 1 1 K K i i L r This linear model is in the same form as OFDMA case For estimation of and h, we can use a similar procedure as in OFDMA case What is the optimal training sequences? r r r 30
31 CRB It can be shown that the CRB for the joint CFO and channel estimation problem is 2 1 CRB( ω) ( R{ Z ΠQZ}) CRB( h) 2( ) ( ) ( { Q }) ( ) 2 Q Q Q Q Q Z R Z Π Z Z Q Q Q where 1 ΠQ IM N Q( Q Q) Q r Z11 Z21 ZK1 Z12 Z22 ZK 2 Z, with Z diag(0,1,..., N 1) Γ( ) A h M Z1M Z r 1M Z r KMr ij k i ij 31
32 Special case: CFO-free If there is no CFO, the CRB reduces to It is shown [R2] that the condition of minimizing Tr{ CRB( h) } is It is further shown in [2] that two types of training satisfy the condition L1 1 () l FDM pilot: d ( n) b [ n ln / L k] n N CDM(F) pilot: CRB( h) I ( A A) CFO free k 2 1 CFO free M A A l0 k [R2]. Minn and N. Al-Dhahir, Optimal training signals for MIMO OFDM channel estimation, IEEE Trans. Commun., May I KL () l { b k } are constant-modulus symbols r A [ A1 A2... A K ] L is any integer s.t. N / L is an integer while L L N / K d ( n) exp( j )exp( j )exp( j2 p( k 1) n/ N) k n k n and k are R.V.s in [0,2 p] w.r.t. n and k 0,1,..., 1 k 0,1,..., K 1
33 Asymptotic CRB If the CFOs are not zero, the conditions for the optimal training cannot be obtained in closed-form We turn to asymptotic CRB: ascrb( ω) ( R{ R}) 3 N ascrb( h) ( { }) N R R R 2 Much Simpler!!! where [... ] with diag([ h h... h ]) T T T T 1 2 M j 1 j 2 j Kj r R R R K R21 R22 R2K Ai A j M ij i j R I, with R ( ) r N R K1 R K 2 R KK 33
34 Minimizing the ascrb Using the fact that with equality holds iff It can be shown that Tr( ascrb( ω)) with equality hold iff 1 (( R{ R}) ) kk, 2 K 6 1 N N 2 1 Tr( ascrb( h)) Tr( R ) 3 R is diagonal M r k 1 i1 ki k, k ki R h R ( R{ R}) It can be further shown that this is equivalent to I A A M KL r I h h h K Mr i1 ki ki M r k 1 i1 hki Rk, khki KL kk, 34
35 Optimal training The optimal training for CFO-free case (FDM and CDM(F) sequences) are also asymptotically optimal for joint CFO and channel estimation Question: for finite number of subcarriers, will they perform differently? Fact 1: CRB ascrb Fact 2: Training with correlation in time domain would have the CRB depart from the ascrb FDM sequence is repetitive in time domain correlated CDM(F) sequence has relatively a long correlation Prediction: CDM(F) performs better than FDM sequence 35
36 Numerical results N=64, L cp =16, L=8, M r =2, K=2 Exponential delay profile 36
37 37
38 Summary Condition for optimal training has been derived by minimizing the ascrb Both CDM(F) and FDM sequences are asymptotically the best For finite number of subcarriers, CDM(F) seq perform better than FDM seq 38
39 References [1] Jianwu Chen, Yik-Chung Wu, Shaodan Ma and Tung-Sang Ng, ML Joint CFO and Channel Estimation in OFDM systems with Timing Ambiguity, IEEE Trans. on Wireless Communications, vol. 7, no. 7, pp , Jul 08. [2] Jianwu Chen, Yik-Chung Wu, S. C. Chan and Tung-Sang Ng, Joint maximum-likelihood CFO and channel estimation for OFDMA uplink using importance sampling, IEEE Trans. on Vehicular Technology, vol. 57, no. 6, pp , Nov [3] Jianwu Chen, Yik-Chung Wu, Shaodan Ma and Tung-Sang Ng, Joint CFO and channel estimation for multiuser MIMO-OFDM systems with optimal training sequences, IEEE Trans. on Signal Processing, vol. 56, no. 8, pp , Aug 08. Further related readings: Kun Cai, Xiao Li, Jian Du, Yik-Chung Wu and Feifei Gao, CFO Estimation in OFDM Systems under Timing and Channel Length Uncertainties with Model Averaging, IEEE Trans. on Wireless Communications, Vol. 9, no. 3, pp , Mar Xun Cai, Yik-Chung Wu, ai Lin and Katsumi Yamashita, Estimation and Compensation of CFO and I/Q Imbalance in OFDM Systems under Timing Ambiguity, IEEE Trans. on Vehicular Technology, Vol.60, no.3, pp , Mar Gongpu Wang, Feifei Gao, Yik-Chung Wu and Chintha Tellambura, Joint CFO and Channel Estimation for OFDM-Based Two-Way Relay Network, IEEE Trans. on Wireless Communications, Vol.10, no.2, pp , Feb
Joint CFO and Channel Estimation for CP-OFDM Modulated Two-Way Relay Networks
Joint CFO and Channel Estimation for CP-OFDM Modulated Two-Way Relay Networks Gongpu Wang, Feifei Gao, Yik-Chung Wu, and Chintha Tellambura University of Alberta, Edmonton, Canada, Jacobs University, Bremen,
More informationCell throughput analysis of the Proportional Fair scheduler in the single cell environment
Cell throughput analysis of the Proportional Fair scheduler in the single cell environment Jin-Ghoo Choi and Seawoong Bahk IEEE Trans on Vehicular Tech, Mar 2007 *** Presented by: Anh H. Nguyen February
More informationData-aided and blind synchronization
PHYDYAS Review Meeting 2009-03-02 Data-aided and blind synchronization Mario Tanda Università di Napoli Federico II Dipartimento di Ingegneria Biomedica, Elettronicae delle Telecomunicazioni Via Claudio
More informationFrequency offset and I/Q imbalance compensation for Direct-Conversion receivers
Frequency offset and I/Q imbalance compensation for Direct-Conversion receivers Hung Tao Hsieh Department of Communication Engineering National Chiao Tung University May 12th, 2009 1 Reference M.Valkama,
More informationSingle-Carrier Block Transmission With Frequency-Domain Equalisation
ELEC6014 RCNSs: Additional Topic Notes Single-Carrier Block Transmission With Frequency-Domain Equalisation Professor Sheng Chen School of Electronics and Computer Science University of Southampton Southampton
More informationI. Introduction. Index Terms Multiuser MIMO, feedback, precoding, beamforming, codebook, quantization, OFDM, OFDMA.
Zero-Forcing Beamforming Codebook Design for MU- MIMO OFDM Systems Erdem Bala, Member, IEEE, yle Jung-Lin Pan, Member, IEEE, Robert Olesen, Member, IEEE, Donald Grieco, Senior Member, IEEE InterDigital
More informationCOMPLEX CONSTRAINED CRB AND ITS APPLICATION TO SEMI-BLIND MIMO AND OFDM CHANNEL ESTIMATION. Aditya K. Jagannatham and Bhaskar D.
COMPLEX CONSTRAINED CRB AND ITS APPLICATION TO SEMI-BLIND MIMO AND OFDM CHANNEL ESTIMATION Aditya K Jagannatham and Bhaskar D Rao University of California, SanDiego 9500 Gilman Drive, La Jolla, CA 92093-0407
More informationMaximum Achievable Diversity for MIMO-OFDM Systems with Arbitrary. Spatial Correlation
Maximum Achievable Diversity for MIMO-OFDM Systems with Arbitrary Spatial Correlation Ahmed K Sadek, Weifeng Su, and K J Ray Liu Department of Electrical and Computer Engineering, and Institute for Systems
More informationJoint FEC Encoder and Linear Precoder Design for MIMO Systems with Antenna Correlation
Joint FEC Encoder and Linear Precoder Design for MIMO Systems with Antenna Correlation Chongbin Xu, Peng Wang, Zhonghao Zhang, and Li Ping City University of Hong Kong 1 Outline Background Mutual Information
More informationMulti-Branch MMSE Decision Feedback Detection Algorithms. with Error Propagation Mitigation for MIMO Systems
Multi-Branch MMSE Decision Feedback Detection Algorithms with Error Propagation Mitigation for MIMO Systems Rodrigo C. de Lamare Communications Research Group, University of York, UK in collaboration with
More informationNOMA: Principles and Recent Results
NOMA: Principles and Recent Results Jinho Choi School of EECS GIST September 2017 (VTC-Fall 2017) 1 / 46 Abstract: Non-orthogonal multiple access (NOMA) becomes a key technology in 5G as it can improve
More informationAnalysis of Receiver Quantization in Wireless Communication Systems
Analysis of Receiver Quantization in Wireless Communication Systems Theory and Implementation Gareth B. Middleton Committee: Dr. Behnaam Aazhang Dr. Ashutosh Sabharwal Dr. Joseph Cavallaro 18 April 2007
More informationDesign of MMSE Multiuser Detectors using Random Matrix Techniques
Design of MMSE Multiuser Detectors using Random Matrix Techniques Linbo Li and Antonia M Tulino and Sergio Verdú Department of Electrical Engineering Princeton University Princeton, New Jersey 08544 Email:
More informationORTHOGONAL frequency division multiplexing (OFD-
ACCEPTED FOR PUBLICATION IN IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY 01 1 Integer Frequency Offset Estimation for OFDM Systems with Residual Timing Offset over Frequency Selective Fading Channels Danping
More informationLimited Feedback in Wireless Communication Systems
Limited Feedback in Wireless Communication Systems - Summary of An Overview of Limited Feedback in Wireless Communication Systems Gwanmo Ku May 14, 17, and 21, 2013 Outline Transmitter Ant. 1 Channel N
More informationA Design of High-Rate Space-Frequency Codes for MIMO-OFDM Systems
A Design of High-Rate Space-Frequency Codes for MIMO-OFDM Systems Wei Zhang, Xiang-Gen Xia and P. C. Ching xxia@ee.udel.edu EE Dept., The Chinese University of Hong Kong ECE Dept., University of Delaware
More informationLecture 5: Antenna Diversity and MIMO Capacity Theoretical Foundations of Wireless Communications 1. Overview. CommTh/EES/KTH
: Antenna Diversity and Theoretical Foundations of Wireless Communications Wednesday, May 4, 206 9:00-2:00, Conference Room SIP Textbook: D. Tse and P. Viswanath, Fundamentals of Wireless Communication
More informationJOINT CHANNEL AND FREQUENCY OFFSET ESTIMATION USING SIGMA POINT KALMAN FILTER FOR AN OFDMA UPLINK SYSTEM. H. Poveda, G. Ferré and E.
18th European Signal Processing Conference (EUSIPCO-2010) Aalborg, Denmark, August 23-27, 2010 JOINT CHANNEL AND FREQUENCY OFFSET ESTIMATION USING SIGMA POINT KALMAN FILTER FOR AN OFDMA UPLINK SYSTEM H.
More informationAsymptotic Cramér-Rao Bounds and Training Design for Uplink MIMO-OFDMA Systems with Frequency Offsets
SUBMITTED FOR PUBLICATIO TO IEEE TRASACTIOS O SIGAL PROCESSIG Asymptotic Cramér-Rao Bounds and Training Design for Uplin MIMO-OFDMA Systems with Frequency Offsets Serdar Sezginer*, Student Member, IEEE,
More informationThe Optimality of Beamforming: A Unified View
The Optimality of Beamforming: A Unified View Sudhir Srinivasa and Syed Ali Jafar Electrical Engineering and Computer Science University of California Irvine, Irvine, CA 92697-2625 Email: sudhirs@uciedu,
More informationBER Analysis of Uplink OFDMA in the Presence of Carrier Frequency and Timing Offsets
BER Analysis of Uplink OFDMA in the Presence of Carrier Frequency and Timing Offsets K. Raghunath and A. Chockalingam Department of ECE, Indian Institute of Science, Bangalore 561, IDIA Abstract In uplink
More informationAdaptive Bit-Interleaved Coded OFDM over Time-Varying Channels
Adaptive Bit-Interleaved Coded OFDM over Time-Varying Channels Jin Soo Choi, Chang Kyung Sung, Sung Hyun Moon, and Inkyu Lee School of Electrical Engineering Korea University Seoul, Korea Email:jinsoo@wireless.korea.ac.kr,
More informationLecture 7 MIMO Communica2ons
Wireless Communications Lecture 7 MIMO Communica2ons Prof. Chun-Hung Liu Dept. of Electrical and Computer Engineering National Chiao Tung University Fall 2014 1 Outline MIMO Communications (Chapter 10
More informationMulti-User Gain Maximum Eigenmode Beamforming, and IDMA. Peng Wang and Li Ping City University of Hong Kong
Multi-User Gain Maximum Eigenmode Beamforming, and IDMA Peng Wang and Li Ping City University of Hong Kong 1 Contents Introduction Multi-user gain (MUG) Maximum eigenmode beamforming (MEB) MEB performance
More informationGenetic Algorithm Applied to Multipath Multiuser Channel Estimation in DS/CDMA Systems
6 EEE Ninth nternational Symposium on Spread Spectrum Techniques and Applications Genetic Algorithm Applied to Multipath Multiuser Channel Estimation in DS/CDMA Systems Fernando Ciriaco and Taufik Abrão
More informationMaximum-Likelihood Carrier Frequency Offset Estimation for OFDM Systems Over Frequency-Selective Fading Channels
Maximum-Likelihood Carrier Frequency Offset Estimation for OFM Systems Over Frequency-Selective Fading Channels Tao Cui and Chintha Tellambura epartment of Electrical and Computer Engineering niversity
More informationFBMC/OQAM transceivers for 5G mobile communication systems. François Rottenberg
FBMC/OQAM transceivers for 5G mobile communication systems François Rottenberg Modulation Wikipedia definition: Process of varying one or more properties of a periodic waveform, called the carrier signal,
More informationCyclic Prefix based Enhanced Data Recovery in OFDM
Cyclic Prefix based Enhanced Data Recovery in OFDM T. Y. Al-Naffouri 1 and A. Quadeer 2 Electrical Engineering Department, King Fahd University of Petroleum and Minerals, Saudi Arabia, Email: {naffouri
More informationCoherentDetectionof OFDM
Telematics Lab IITK p. 1/50 CoherentDetectionof OFDM Indo-UK Advanced Technology Centre Supported by DST-EPSRC K Vasudevan Associate Professor vasu@iitk.ac.in Telematics Lab Department of EE Indian Institute
More informationLow Complexity Distributed STBCs with Unitary Relay Matrices for Any Number of Relays
Low Complexity Distributed STBCs with Unitary elay Matrices for Any Number of elays G. Susinder ajan Atheros India LLC Chennai 600004 India susinder@atheros.com B. Sundar ajan ECE Department Indian Institute
More informationApproximate Ergodic Capacity of a Class of Fading Networks
Approximate Ergodic Capacity of a Class of Fading Networks Sang-Woon Jeon, Chien-Yi Wang, and Michael Gastpar School of Computer and Communication Sciences EPFL Lausanne, Switzerland {sangwoon.jeon, chien-yi.wang,
More informationTHE IC-BASED DETECTION ALGORITHM IN THE UPLINK LARGE-SCALE MIMO SYSTEM. Received November 2016; revised March 2017
International Journal of Innovative Computing, Information and Control ICIC International c 017 ISSN 1349-4198 Volume 13, Number 4, August 017 pp. 1399 1406 THE IC-BASED DETECTION ALGORITHM IN THE UPLINK
More informationOn Improving the BER Performance of Rate-Adaptive Block Transceivers, with Applications to DMT
On Improving the BER Performance of Rate-Adaptive Block Transceivers, with Applications to DMT Yanwu Ding, Timothy N. Davidson and K. Max Wong Department of Electrical and Computer Engineering, McMaster
More informationAnalysis of Detection Methods in Massive MIMO Systems
Journal of Physics: Conference Series PAPER OPEN ACCESS Analysis of Detection Methods in Massive MIMO Systems To cite this article: Siyuan Li 208 J. Phys.: Conf. Ser. 087 042002 View the article online
More informationRoot-MUSIC Time Delay Estimation Based on Propagator Method Bin Ba, Yun Long Wang, Na E Zheng & Han Ying Hu
International Conference on Automation, Mechanical Control and Computational Engineering (AMCCE 15) Root-MUSIC ime Delay Estimation Based on ropagator Method Bin Ba, Yun Long Wang, Na E Zheng & an Ying
More informationLecture 9: Diversity-Multiplexing Tradeoff Theoretical Foundations of Wireless Communications 1
: Diversity-Multiplexing Tradeoff Theoretical Foundations of Wireless Communications 1 Rayleigh Friday, May 25, 2018 09:00-11:30, Kansliet 1 Textbook: D. Tse and P. Viswanath, Fundamentals of Wireless
More informationOn the Throughput of Proportional Fair Scheduling with Opportunistic Beamforming for Continuous Fading States
On the hroughput of Proportional Fair Scheduling with Opportunistic Beamforming for Continuous Fading States Andreas Senst, Peter Schulz-Rittich, Gerd Ascheid, and Heinrich Meyr Institute for Integrated
More informationJournal Watch IEEE Communications- Sept,2018
Journal Watch IEEE Communications- Sept,2018 Varun Varindani Indian Institute of Science, Bangalore September 22, 2018 1 / 16 Organization Likelihood-Based Automatic Modulation Classification in OFDM With
More informationConstrained Detection for Multiple-Input Multiple-Output Channels
Constrained Detection for Multiple-Input Multiple-Output Channels Tao Cui, Chintha Tellambura and Yue Wu Department of Electrical and Computer Engineering University of Alberta Edmonton, AB, Canada T6G
More informationTraining Aided Frequency Offset Estimation for MIMO OFDM Systems via Polynomial Rooting
Training Aided Frequency Offset Estimation for MIMO OFDM Systems via Polynomial Rooting Yanxiang Jiang, Xiaohu You, Xiqi Gao National Mobile Communications Research Laboratory, Southeast University, Nanjing
More informationOn Design Criteria and Construction of Non-coherent Space-Time Constellations
On Design Criteria and Construction of Non-coherent Space-Time Constellations Mohammad Jaber Borran, Ashutosh Sabharwal, and Behnaam Aazhang ECE Department, MS-366, Rice University, Houston, TX 77005-89
More informationImproved MU-MIMO Performance for Future Systems Using Differential Feedback
Improved MU-MIMO Performance for Future 80. Systems Using Differential Feedback Ron Porat, Eric Ojard, Nihar Jindal, Matthew Fischer, Vinko Erceg Broadcom Corp. {rporat, eo, njindal, mfischer, verceg}@broadcom.com
More informationPower Control in Multi-Carrier CDMA Systems
A Game-Theoretic Approach to Energy-Efficient ower Control in Multi-Carrier CDMA Systems Farhad Meshkati, Student Member, IEEE, Mung Chiang, Member, IEEE, H. Vincent oor, Fellow, IEEE, and Stuart C. Schwartz,
More informationInterleave Division Multiple Access. Li Ping, Department of Electronic Engineering City University of Hong Kong
Interleave Division Multiple Access Li Ping, Department of Electronic Engineering City University of Hong Kong 1 Outline! Introduction! IDMA! Chip-by-chip multiuser detection! Analysis and optimization!
More informationDFT-Based Hybrid Beamforming Multiuser Systems: Rate Analysis and Beam Selection
1 DFT-Based Hybrid Beamforming Multiuser Systems: Rate Analysis and Beam Selection Yu Han, Shi Jin, Jun Zhang, Jiayi Zhang, and Kai-Kit Wong National Mobile Communications Research Laboratory, Southeast
More informationErgodic and Outage Capacity of Narrowband MIMO Gaussian Channels
Ergodic and Outage Capacity of Narrowband MIMO Gaussian Channels Yang Wen Liang Department of Electrical and Computer Engineering The University of British Columbia April 19th, 005 Outline of Presentation
More informationGame Theoretic Approach to Power Control in Cellular CDMA
Game Theoretic Approach to Power Control in Cellular CDMA Sarma Gunturi Texas Instruments(India) Bangalore - 56 7, INDIA Email : gssarma@ticom Fernando Paganini Electrical Engineering Department University
More informationEstimating Jakes' Doppler power spectrum parameters using the whittle approximation
Electrical and Computer Engineering Publications Electrical and Computer Engineering 3-2005 Estimating Jakes' Doppler power spectrum parameters using the whittle approximation Aleksandar Dogandžić Iowa
More informationOn the Capacity of Distributed Antenna Systems Lin Dai
On the apacity of Distributed Antenna Systems Lin Dai ity University of Hong Kong JWIT 03 ellular Networs () Base Station (BS) Growing demand for high data rate Multiple antennas at the BS side JWIT 03
More informationRobust Learning-Based ML Detection for Massive MIMO Systems with One-Bit Quantized Signals
Robust Learning-Based ML Detection for Massive MIMO Systems with One-Bit Quantized Signals Jinseok Choi, Yunseong Cho, Brian L. Evans, and Alan Gatherer Wireless Networking and Communications Group, The
More informationHopping Pilots for Estimation of Frequency-Offset and Multi-Antenna Channels in MIMO OFDM
Hopping Pilots for Estimation of Frequency-Offset and Multi-Antenna Channels in MIMO OFDM Mi-Kyung Oh 1,XiaoliMa 2, Georgios B. Giannakis 2 and Dong-Jo Park 1 1 Dept. of EECS, KAIST; 373-1 Guseong-dong,
More informationMorning Session Capacity-based Power Control. Department of Electrical and Computer Engineering University of Maryland
Morning Session Capacity-based Power Control Şennur Ulukuş Department of Electrical and Computer Engineering University of Maryland So Far, We Learned... Power control with SIR-based QoS guarantees Suitable
More informationWeighted OFDMA Time-Frequency Synchronization for Space Solar Power LEO Satellites Networks: Performance and Cost Analysis
Weighted OFDMA Tie-Frequency Synchronization for Space Solar Power LEO Satellites Networs: Perforance and Cost Analysis Mohsen Jaalabdollahi, Reza Zeavat Michigan Technological University Cities in the
More informationTraining-Symbol Embedded, High-Rate Complex Orthogonal Designs for Relay Networks
Training-Symbol Embedded, High-Rate Complex Orthogonal Designs for Relay Networks J Harshan Dept of ECE, Indian Institute of Science Bangalore 56001, India Email: harshan@eceiiscernetin B Sundar Rajan
More informationPerformance Analysis and Interleaver Structure Optimization for Short-Frame BICM-OFDM Systems
1 Performance Analysis and Interleaver Structure Optimization for Short-Frame BICM-OFDM Systems Yuta Hori, Student Member, IEEE, and Hideki Ochiai, Member, IEEE Abstract Bit-interleaved coded modulation
More informationTwo-Stage Channel Feedback for Beamforming and Scheduling in Network MIMO Systems
Two-Stage Channel Feedback for Beamforming and Scheduling in Network MIMO Systems Behrouz Khoshnevis and Wei Yu Department of Electrical and Computer Engineering University of Toronto, Toronto, Ontario,
More informationInteractions of Information Theory and Estimation in Single- and Multi-user Communications
Interactions of Information Theory and Estimation in Single- and Multi-user Communications Dongning Guo Department of Electrical Engineering Princeton University March 8, 2004 p 1 Dongning Guo Communications
More informationVersatile, Accurate and Analytically Tractable Approximation for the Gaussian Q-function. Miguel López-Benítez and Fernando Casadevall
Versatile, Accurate and Analytically Tractable Approximation for the Gaussian Q-function Miguel López-Benítez and Fernando Casadevall Department of Signal Theory and Communications Universitat Politècnica
More informationPilot Optimization and Channel Estimation for Multiuser Massive MIMO Systems
1 Pilot Optimization and Channel Estimation for Multiuser Massive MIMO Systems Tadilo Endeshaw Bogale and Long Bao Le Institute National de la Recherche Scientifique (INRS) Université de Québec, Montréal,
More informationOn the Identification of SM and Alamouti. Coded SC-FDMA Signals: A Statistical-Based Approach
On the Identification of SM and Alamouti Coded SC-FDMA Signals: A Statistical-Based Approach arxiv:62.03946v [cs.it] 2 Dec 206 Yahia A. Eldemerdash, Member, IEEE and Octavia A. Dobre, Senior Member, IEEE
More informationEffective Rate Analysis of MISO Systems over α-µ Fading Channels
Effective Rate Analysis of MISO Systems over α-µ Fading Channels Jiayi Zhang 1,2, Linglong Dai 1, Zhaocheng Wang 1 Derrick Wing Kwan Ng 2,3 and Wolfgang H. Gerstacker 2 1 Tsinghua National Laboratory for
More informationLecture 9: Diversity-Multiplexing Tradeoff Theoretical Foundations of Wireless Communications 1. Overview. Ragnar Thobaben CommTh/EES/KTH
: Diversity-Multiplexing Tradeoff Theoretical Foundations of Wireless Communications 1 Rayleigh Wednesday, June 1, 2016 09:15-12:00, SIP 1 Textbook: D. Tse and P. Viswanath, Fundamentals of Wireless Communication
More informationAdaptive Space-Time Shift Keying Based Multiple-Input Multiple-Output Systems
ACSTSK Adaptive Space-Time Shift Keying Based Multiple-Input Multiple-Output Systems Professor Sheng Chen Electronics and Computer Science University of Southampton Southampton SO7 BJ, UK E-mail: sqc@ecs.soton.ac.uk
More informationMultiuser Downlink Beamforming: Rank-Constrained SDP
Multiuser Downlink Beamforming: Rank-Constrained SDP Daniel P. Palomar Hong Kong University of Science and Technology (HKUST) ELEC5470 - Convex Optimization Fall 2018-19, HKUST, Hong Kong Outline of Lecture
More informationEstimation of Performance Loss Due to Delay in Channel Feedback in MIMO Systems
MITSUBISHI ELECTRIC RESEARCH LABORATORIES http://www.merl.com Estimation of Performance Loss Due to Delay in Channel Feedback in MIMO Systems Jianxuan Du Ye Li Daqing Gu Andreas F. Molisch Jinyun Zhang
More informationUpper Bounds on MIMO Channel Capacity with Channel Frobenius Norm Constraints
Upper Bounds on IO Channel Capacity with Channel Frobenius Norm Constraints Zukang Shen, Jeffrey G. Andrews, Brian L. Evans Wireless Networking Communications Group Department of Electrical Computer Engineering
More informationPilot Assisted SNR Estimation in a Non-Coherent M-FSK Receiver with a Carrier Frequency Offset
IEEE ICC 0 - Signal Processing for Communications Symposium Pilot Assisted SNR Estimation in a Non-Coherent -FSK Receiver with a Carrier Frequency Offset Syed Ali Hassan School of EECS National University
More informationImpact of Frequency Selectivity on the. Information Rate Performance of CFO. Impaired Single-Carrier Massive MU-MIMO. Uplink
Impact of Frequency Selectivity on the Information Rate Performance of CFO Impaired Single-Carrier assive U-IO arxiv:506.038v3 [cs.it] 0 Jun 06 Uplink Sudarshan ukherjee and Saif Khan ohammed Abstract
More informationExpected Error Based MMSE Detection Ordering for Iterative Detection-Decoding MIMO Systems
Expected Error Based MMSE Detection Ordering for Iterative Detection-Decoding MIMO Systems Lei Zhang, Chunhui Zhou, Shidong Zhou, Xibin Xu National Laboratory for Information Science and Technology, Tsinghua
More informationModulation Diversity in Fading Channels with Quantized Receiver
011 IEEE International Symposium on Information Theory Proceedings Modulation Diversity in Fading Channels with Quantized Receiver Saif Khan Mohammed, Emanuele Viterbo, Yi Hong, and Ananthanarayanan Chockalingam
More informationUSING multiple antennas has been shown to increase the
IEEE TRANSACTIONS ON COMMUNICATIONS, VOL. 55, NO. 1, JANUARY 2007 11 A Comparison of Time-Sharing, DPC, and Beamforming for MIMO Broadcast Channels With Many Users Masoud Sharif, Member, IEEE, and Babak
More informationA Hybrid Approach to Joint Estimation of Channel and Antenna impedance
1 A Hybrid Approach to Joint Estimation of Channel and Antenna impedance Shaohan Wu and Brian L. Hughes Department of Electrical and Computer Engineering North Carolina State University arxiv:1811.01381v1
More informationApproximately achieving the feedback interference channel capacity with point-to-point codes
Approximately achieving the feedback interference channel capacity with point-to-point codes Joyson Sebastian*, Can Karakus*, Suhas Diggavi* Abstract Superposition codes with rate-splitting have been used
More informationIEEE C80216m-09/0079r1
Project IEEE 802.16 Broadband Wireless Access Working Group Title Efficient Demodulators for the DSTTD Scheme Date 2009-01-05 Submitted M. A. Khojastepour Ron Porat Source(s) NEC
More informationRandom Access Protocols for Massive MIMO
Random Access Protocols for Massive MIMO Elisabeth de Carvalho Jesper H. Sørensen Petar Popovski Aalborg University Denmark Emil Björnson Erik G. Larsson Linköping University Sweden 2016 Tyrrhenian International
More informationMultiple Carrier Frequency Offset and Channel State Estimation in the Fading Channel
Multiple Carrier Frequency Offset and Channel State Estimation in the Fading Channel Brad W Zarikoff, James K Cavers School of Engineering Science, Faculty of Applied Sciences Simon Fraser University Burnaby,
More informationOFDMA Downlink Resource Allocation using Limited Cross-Layer Feedback. Prof. Phil Schniter
OFDMA Downlink Resource Allocation using Limited Cross-Layer Feedback Prof. Phil Schniter T. H. E OHIO STATE UNIVERSITY Joint work with Mr. Rohit Aggarwal, Dr. Mohamad Assaad, Dr. C. Emre Koksal September
More informationGame Theoretic Solutions for Precoding Strategies over the Interference Channel
Game Theoretic Solutions for Precoding Strategies over the Interference Channel Jie Gao, Sergiy A. Vorobyov, and Hai Jiang Department of Electrical & Computer Engineering, University of Alberta, Canada
More informationOptimal Data and Training Symbol Ratio for Communication over Uncertain Channels
Optimal Data and Training Symbol Ratio for Communication over Uncertain Channels Ather Gattami Ericsson Research Stockholm, Sweden Email: athergattami@ericssoncom arxiv:50502997v [csit] 2 May 205 Abstract
More informationChapter 2 Underwater Acoustic Channel Models
Chapter 2 Underwater Acoustic Channel Models In this chapter, we introduce two prevailing UWA channel models, namely, the empirical UWA channel model and the statistical time-varying UWA channel model,
More informationOrthogonal Frequency Division Multiplexing with Index Modulation
Globecom 2012 - Wireless Communications Symposium Orthogonal Frequency Division Multiplexing with Index Modulation Ertuğrul Başar, Ümit Aygölü, Erdal Panayırcı and H. Vincent Poor Istanbul Technical University,
More informationASPECTS OF FAVORABLE PROPAGATION IN MASSIVE MIMO Hien Quoc Ngo, Erik G. Larsson, Thomas L. Marzetta
ASPECTS OF FAVORABLE PROPAGATION IN MASSIVE MIMO ien Quoc Ngo, Eri G. Larsson, Thomas L. Marzetta Department of Electrical Engineering (ISY), Linöping University, 58 83 Linöping, Sweden Bell Laboratories,
More informationarxiv:cs/ v1 [cs.it] 11 Sep 2006
0 High Date-Rate Single-Symbol ML Decodable Distributed STBCs for Cooperative Networks arxiv:cs/0609054v1 [cs.it] 11 Sep 2006 Zhihang Yi and Il-Min Kim Department of Electrical and Computer Engineering
More informationCarrier frequency estimation. ELEC-E5410 Signal processing for communications
Carrier frequency estimation ELEC-E54 Signal processing for communications Contents. Basic system assumptions. Data-aided DA: Maximum-lielihood ML estimation of carrier frequency 3. Data-aided: Practical
More informationMinimum Mean Squared Error Interference Alignment
Minimum Mean Squared Error Interference Alignment David A. Schmidt, Changxin Shi, Randall A. Berry, Michael L. Honig and Wolfgang Utschick Associate Institute for Signal Processing Technische Universität
More informationSystematic Design of Space-Frequency Codes with Full Rate and Full Diversity
Systematic Design of Space-Frequency Codes with Full Rate and Full Diversity Weifeng Su Department of ECE University of Maryland, College Park, MD 20742, USA Email: weifeng@engumdedu Zoltan Safar Department
More informationComparative Analysis of Equalization Methods for SC-FDMA
Comparative Analysis of Equalization Methods for SC-MA Anton ogadaev, Alexander Kozlov SUA Russia Email: {dak, akozlov}@vu.spb.ru Ann Ukhanova U otonik enmark Email: annuk@fotonik.dtu.dk Abstract n this
More informationLecture 8: MIMO Architectures (II) Theoretical Foundations of Wireless Communications 1. Overview. Ragnar Thobaben CommTh/EES/KTH
MIMO : MIMO Theoretical Foundations of Wireless Communications 1 Wednesday, May 25, 2016 09:15-12:00, SIP 1 Textbook: D. Tse and P. Viswanath, Fundamentals of Wireless Communication 1 / 20 Overview MIMO
More informationImproved Detected Data Processing for Decision-Directed Tracking of MIMO Channels
Improved Detected Data Processing for Decision-Directed Tracking of MIMO Channels Emna Eitel and Joachim Speidel Institute of Telecommunications, University of Stuttgart, Germany Abstract This paper addresses
More informationConstellation Precoded Beamforming
Constellation Precoded Beamforming Hong Ju Park and Ender Ayanoglu Center for Pervasive Communications and Computing Department of Electrical Engineering and Computer Science University of California,
More informationPerformance Analysis of Wireless Single Input Multiple Output Systems (SIMO) in Correlated Weibull Fading Channels
Performance Analysis of Wireless Single Input Multiple Output Systems (SIMO) in Correlated Weibull Fading Channels Zafeiro G. Papadimitriou National and Kapodistrian University of Athens Department of
More information2-user 2-hop Networks
2012 IEEE International Symposium on Information Theory roceedings Approximate Ergodic Capacity of a Class of Fading 2-user 2-hop Networks Sang-Woon Jeon, Chien-Yi Wang, and Michael Gastpar School of Computer
More informationAchieving the Full MIMO Diversity-Multiplexing Frontier with Rotation-Based Space-Time Codes
Achieving the Full MIMO Diversity-Multiplexing Frontier with Rotation-Based Space-Time Codes Huan Yao Lincoln Laboratory Massachusetts Institute of Technology Lexington, MA 02420 yaohuan@ll.mit.edu Gregory
More informationfor Multi-Hop Amplify-and-Forward MIMO Relaying Systems
A General Robust Linear Transceiver Design 1 for Multi-Hop Amplify-and-Forward MIMO Relaying Systems Chengwen Xing, Shaodan Ma, Zesong Fei, Yik-Chung Wu and H. Vincent Poor Abstract In this paper, linear
More informationTransmission Schemes for Lifetime Maximization in Wireless Sensor Networks: Uncorrelated Source Observations
Transmission Schemes for Lifetime Maximization in Wireless Sensor Networks: Uncorrelated Source Observations Xiaolu Zhang, Meixia Tao and Chun Sum Ng Department of Electrical and Computer Engineering National
More informationExpectation propagation for signal detection in flat-fading channels
Expectation propagation for signal detection in flat-fading channels Yuan Qi MIT Media Lab Cambridge, MA, 02139 USA yuanqi@media.mit.edu Thomas Minka CMU Statistics Department Pittsburgh, PA 15213 USA
More informationMaxime GUILLAUD. Huawei Technologies Mathematical and Algorithmic Sciences Laboratory, Paris
1/21 Maxime GUILLAUD Alignment Huawei Technologies Mathematical and Algorithmic Sciences Laboratory, Paris maxime.guillaud@huawei.com http://research.mguillaud.net/ Optimisation Géométrique sur les Variétés
More informationPerformance Analysis of Spread Spectrum CDMA systems
1 Performance Analysis of Spread Spectrum CDMA systems 16:33:546 Wireless Communication Technologies Spring 5 Instructor: Dr. Narayan Mandayam Summary by Liang Xiao lxiao@winlab.rutgers.edu WINLAB, Department
More informationLECTURE 18. Lecture outline Gaussian channels: parallel colored noise inter-symbol interference general case: multiple inputs and outputs
LECTURE 18 Last time: White Gaussian noise Bandlimited WGN Additive White Gaussian Noise (AWGN) channel Capacity of AWGN channel Application: DS-CDMA systems Spreading Coding theorem Lecture outline Gaussian
More information