Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Relay ARQ Strategies for Single Carrier MIMO Broadband Amplify-and-Forward Cooperative Transmission Zakaria El-Moutaouakkil Nokia Siemens Networks, Morocco This work is co-authored with Tarik Ait-Idir (INPT, Morocco/Telecom Bretagne, France) Halim Yanikomeroglu (Carleton University, Canada) Samir Saoudi (Telecom Bretagne, France) IEEE Symposium on Personal Indoor and Mobile Radio Communications 29th September 2010 Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (1)
Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Outline Relay ARQ System 1 Information-Theoretic Analysis 2 Simulation Results 3 Conclusion and Perspectives 4 Related Works 5 Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (2)
Relay ARQ System Brief Description of the Concept Information-Theoretic Analysis Relay ARQ Protocol Simulation Results Relay ARQ with Slot Mapping Reversal Conclusion and Perspectives Sub-Packets ARQ Transmission Model Related Works Brief Description of the Concept N R Relay 1 2 ARQ N S N D 3 Destination Source Fig. 1: Relay ARQ System Model Channel 1, channel 2, and channel 3 are regarded at k th transmission as a frequency selective fading MIMO channels having L SR , L RD , and L SD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix H AB ( k ) ∈ C NA × NB for l ∈ { 0 , . . . , L AB − 1 } where A ∈ { S, R } and B ∈ { R, D } . l Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s. Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)
Relay ARQ System Brief Description of the Concept Information-Theoretic Analysis Relay ARQ Protocol Simulation Results Relay ARQ with Slot Mapping Reversal Conclusion and Perspectives Sub-Packets ARQ Transmission Model Related Works Brief Description of the Concept N R Relay 1 2 ARQ N S N D 3 Destination Source Fig. 1: Relay ARQ System Model Channel 1, channel 2, and channel 3 are regarded at k th transmission as a frequency selective fading MIMO channels having L SR , L RD , and L SD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix H AB ( k ) ∈ C NA × NB for l ∈ { 0 , . . . , L AB − 1 } where A ∈ { S, R } and B ∈ { R, D } . l Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s. Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)
Relay ARQ System Brief Description of the Concept Information-Theoretic Analysis Relay ARQ Protocol Simulation Results Relay ARQ with Slot Mapping Reversal Conclusion and Perspectives Sub-Packets ARQ Transmission Model Related Works Brief Description of the Concept N R Relay 1 2 ARQ N S N D 3 Destination Source Fig. 1: Relay ARQ System Model Channel 1, channel 2, and channel 3 are regarded at k th transmission as a frequency selective fading MIMO channels having L SR , L RD , and L SD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix H AB ( k ) ∈ C NA × NB for l ∈ { 0 , . . . , L AB − 1 } where A ∈ { S, R } and B ∈ { R, D } . l Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s. Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)
Relay ARQ System Brief Description of the Concept Information-Theoretic Analysis Relay ARQ Protocol Simulation Results Relay ARQ with Slot Mapping Reversal Conclusion and Perspectives Sub-Packets ARQ Transmission Model Related Works Brief Description of the Concept N R Relay 1 2 ARQ N S N D 3 Destination Source Fig. 1: Relay ARQ System Model Channel 1, channel 2, and channel 3 are regarded at k th transmission as a frequency selective fading MIMO channels having L SR , L RD , and L SD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix H AB ( k ) ∈ C NA × NB for l ∈ { 0 , . . . , L AB − 1 } where A ∈ { S, R } and B ∈ { R, D } . l Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s. Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)
Relay ARQ System Brief Description of the Concept Information-Theoretic Analysis Relay ARQ Protocol Simulation Results Relay ARQ with Slot Mapping Reversal Conclusion and Perspectives Sub-Packets ARQ Transmission Model Related Works Brief Description of the Concept N R Relay 1 2 ARQ N S N D 3 Destination Source Fig. 1: Relay ARQ System Model Channel 1, channel 2, and channel 3 are regarded at k th transmission as a frequency selective fading MIMO channels having L SR , L RD , and L SD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix H AB ( k ) ∈ C NA × NB for l ∈ { 0 , . . . , L AB − 1 } where A ∈ { S, R } and B ∈ { R, D } . l Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s. Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)
Relay ARQ System Brief Description of the Concept Information-Theoretic Analysis Relay ARQ Protocol Simulation Results Relay ARQ with Slot Mapping Reversal Conclusion and Perspectives Sub-Packets ARQ Transmission Model Related Works Brief Description of the Concept Fig. 2: Source node transmitter scheme. Splitting Rule Upon the 1 st transmission, node S generates according to an STBICM encoder the symbol packet x � [x 0 , . . . , x T − 1 ] ∈ C NS × T . (1) The symbol vectors x t ′ ∈ X NS × 1 for t ′ = 0 , · · · , T − 1 are chosen to have equally powered entries, hence satisfying E[x t ′ x H t ′′ ] = δ t ′ ,t ′′ I NS . It is then splitted into two equally sized N S × T 2 sub-packets z 1 and z 2 constructed as � 0 ≤ t ≤ T 2 − 1 z 1 ,t = x 2 t , 2 − 1 . (2) 0 ≤ t ≤ T z 2 ,t = x 2 t +1 , Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (4)
Relay ARQ System Brief Description of the Concept Information-Theoretic Analysis Relay ARQ Protocol Simulation Results Relay ARQ with Slot Mapping Reversal Conclusion and Perspectives Sub-Packets ARQ Transmission Model Related Works Brief Description of the Concept Fig. 2: Source node transmitter scheme. Splitting Rule Upon the 1 st transmission, node S generates according to an STBICM encoder the symbol packet x � [x 0 , . . . , x T − 1 ] ∈ C NS × T . (1) The symbol vectors x t ′ ∈ X NS × 1 for t ′ = 0 , · · · , T − 1 are chosen to have equally powered entries, hence satisfying E[x t ′ x H t ′′ ] = δ t ′ ,t ′′ I NS . It is then splitted into two equally sized N S × T 2 sub-packets z 1 and z 2 constructed as � 0 ≤ t ≤ T 2 − 1 z 1 ,t = x 2 t , 2 − 1 . (2) 0 ≤ t ≤ T z 2 ,t = x 2 t +1 , Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (4)
Relay ARQ System Brief Description of the Concept Information-Theoretic Analysis Relay ARQ Protocol Simulation Results Relay ARQ with Slot Mapping Reversal Conclusion and Perspectives Sub-Packets ARQ Transmission Model Related Works Brief Description of the Concept Fig. 2: Source node transmitter scheme. Splitting Rule Upon the 1 st transmission, node S generates according to an STBICM encoder the symbol packet x � [x 0 , . . . , x T − 1 ] ∈ C NS × T . (1) The symbol vectors x t ′ ∈ X NS × 1 for t ′ = 0 , · · · , T − 1 are chosen to have equally powered entries, hence satisfying E[x t ′ x H t ′′ ] = δ t ′ ,t ′′ I NS . It is then splitted into two equally sized N S × T 2 sub-packets z 1 and z 2 constructed as � 0 ≤ t ≤ T 2 − 1 z 1 ,t = x 2 t , 2 − 1 . (2) 0 ≤ t ≤ T z 2 ,t = x 2 t +1 , Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (4)
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