Full Duplex MIMO Radios

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1 Full Duplex MIMO Radios Dinesh Bharadia and Sachin Katti Stanford University 4/25/2014 1

2 Refresher: Why was full duplex considered impossible? 4/25/2014 2

3 Refresher: Why was full duplex considered impossible? Radio 1 Radio 2 X RX RX X 4/25/2014 2

4 Refresher: Why was full duplex considered impossible? Radio 1 Radio 2 X RX RX X 4/25/2014 2

5 Refresher: Why was full duplex considered impossible? Radio 1 Radio 2 X RX RX X 4/25/2014 2

6 Refresher: Why was full duplex considered impossible? Radio 1 Radio 2 X RX RX X Self-Interference is a hundred billion times (110dB+) stronger than the received signal 4/25/2014 2

7 State of the Art: SISO Full duplex (Sigcomm 13) Demonstrated that practical inband SISO (single antenna) full duplex radios are possible Self-Interference cancellation that eliminates everything to the noise floor Practically achieves close to expected theoretical 2x throughput increase Analog Eliminates all x noise and Protects ADC from saturating + +δ X RF Frontend RX RF Frontend Digital Eliminates all Linear and Non- Linear Distortion (armonics) 4/25/2014 3

8 Why care about full duplex? Full Duplex provides a step jump in Spectral Efficiency 4/25/2014 4

9 Why care about full duplex? Full Duplex provides a step jump in Spectral Efficiency LE 2X Spectral Efficiency 4/25/2014 4

10 Why care about full duplex? Full Duplex provides a step jump in Spectral Efficiency LE 2X Spectral Efficiency LE 2X2 Spectral Efficiency is 1.42 bits/sec/z Spectra Efficiency Doubled over last decade 4/25/2014 4

11 Why care about full duplex? Full Duplex provides a step jump in Spectral Efficiency LE 2X Spectral Efficiency LE 2X2 Spectral Efficiency is 1.42 bits/sec/z Spectra Efficiency Doubled over last decade 4/25/2014 4

12 Why care about full duplex? Full Duplex provides a step jump in Spectral Efficiency LE 2X Spectral Efficiency LE 2X2 Spectral Efficiency is 1.42 bits/sec/z Spectra Efficiency Doubled over last decade Full Duplex provides a step jump 4/25/2014 4

13 Why care about full duplex? Full Duplex provides a step jump in Spectral Efficiency LE 2X Spectral Efficiency LE 2X2 Spectral Efficiency is 1.42 bits/sec/z Spectra Efficiency Doubled over last decade Full Duplex provides a step jump Spectral efficiency gains over last decade mostly from MIMO For full duplex to be viable, need to work with MIMO 4/25/2014 4

14 his Work 4/25/2014

15 his Work Designed & implemented a near-ideal MIMO in-band full duplex radio 4/25/2014

16 his Work Designed & implemented a near-ideal MIMO in-band full duplex radio ybrid (analog & digital) cross and self-talk cancellation circuits & algorithms that completely eliminate interference to the noise floor 4/25/2014

17 his Work Designed & implemented a near-ideal MIMO in-band full duplex radio ybrid (analog & digital) cross and self-talk cancellation circuits & algorithms that completely eliminate interference to the noise floor Low complexity cancellation design 4/25/2014

18 his Work Designed & implemented a near-ideal MIMO in-band full duplex radio ybrid (analog & digital) cross and self-talk cancellation circuits & algorithms that completely eliminate interference to the noise floor Low complexity cancellation design Prototype 3x3 MIMO full duplex radios using off-the-shelf WiFi radios 4/25/2014

19 his Work Designed & implemented a near-ideal MIMO in-band full duplex radio ybrid (analog & digital) cross and self-talk cancellation circuits & algorithms that completely eliminate interference to the noise floor Low complexity cancellation design Prototype 3x3 MIMO full duplex radios using off-the-shelf WiFi radios Experimental indoor evaluation which demonstrates that our design practically achieves close to the 2x theoretically expected throughput gain 4/25/2014

20 Why can not we use the SISO design to implement MIMO full duplex? 4/25/2014 6

21 State of the Art for SISO full duplex 4/25/2014 7

22 State of the Art for SISO full duplex X Conceptual model RX 4/25/2014 7

23 State of the Art for SISO full duplex Reflector X Conceptual model RX 4/25/2014 7

24 State of the Art for SISO full duplex Reflector Channel representing environmental reflections X Conceptual model RX 4/25/2014 7

25 State of the Art for SISO full duplex Reflector Channel representing environmental reflections R+ X Conceptual model RX 4/25/2014 7

26 State of the Art for SISO full duplex Reflector Channel representing environmental reflections R+ X Conceptual model RX R + ε 4/25/2014 7

27 State of the Art for SISO full duplex Reflector Channel representing environmental reflections R+ X Conceptual model RX R + ε 4/25/2014 7

28 State of the Art for SISO full duplex Reflector Channel representing environmental reflections R+ Reflector R R+ X RF Frontend RX RF Frontend X Conceptual model RX R + ε X Practical Realization of RX 4/25/2014 7

29 State of the Art for SISO full duplex Reflector Channel representing environmental reflections R+ Reflector RF Circuit d1 fixed delays a 1 R R+ +δ X RF Frontend d N a N tuning algorithm RX RF Frontend X Conceptual model RX R + ε X Practical Realization of RX 4/25/2014 7

30 State of the Art for SISO full duplex Reflector Channel representing environmental reflections R+ Reflector RF Circuit d1 fixed delays a 1 R R+ +δ X Conceptual model RX R + ε X RF Frontend X d N a N tuning algorithm Digital Eliminates all Linear and Non-Linear Distortion Practical Realization of RX RF Frontend RX R + ε 4/25/2014 7

31 State of the Art for SISO full duplex Reflector Channel representing environmental reflections R+ Reflector RF Circuit d1 fixed delays a 1 R R+ +δ X Conceptual model RX R + ε X RF Frontend tuning algorithm Digital Eliminates all Linear and Non-Linear Distortion 4/25/ adaptive that closely matches the environmental X d N a N Practical Realization of RX RF Frontend RX R + ε Full duplex designs are conceptually realizing an

32 Key Metrics for SISO Full Duplex Design 4/25/2014 8

33 Key Metrics for SISO Full Duplex Design s are characterized by two key metrics 4/25/2014 8

34 Key Metrics for SISO Full Duplex Design s are characterized by two key metrics Complexity: he number of taps needed to closely match the environmental reflection response. igher number of taps More analog circuit area, more FPGA gates Less is better 4/25/2014 8

35 Key Metrics for SISO Full Duplex Design s are characterized by two key metrics Complexity: he number of taps needed to closely match the environmental reflection response. igher number of taps More analog circuit area, more FPGA gates Less is better Interference residue: Amount of interference left uncancelled, depends on the accuracy of the in modeling all reflections lower is better 4/25/2014 8

36 Key Metrics for SISO Full Duplex Design s are characterized by two key metrics Complexity: he number of taps needed to closely match the environmental reflection response. igher number of taps More analog circuit area, more FPGA gates Less is better Interference residue: Amount of interference left uncancelled, depends on the accuracy of the in modeling all reflections lower is better SISO Full Duplex Implications Analog taps 12 6x6 inches board Digital taps DSP 48 Logic Interference Residue 1dB over noise floor Almost optimal full duplex 4/25/2014 8

37 Key Metrics for SISO Full Duplex Design s are characterized by two key metrics Complexity: he number of taps needed to closely match the environmental reflection response. igher number of taps More analog circuit area, more FPGA gates Less is better Interference residue: Amount of interference left uncancelled, depends on the accuracy of the in modeling all reflections lower is better SISO Full Duplex Implications Analog taps 12 6x6 inches board Digital taps DSP 48 Logic Interference Residue 1dB over noise floor Almost optimal full duplex Goal for any full duplex design: Minimize interference residue to the noise floor with the lowest complexity 4/25/ cancellation

38 ow is the MIMO full duplex problem different? X1 X2 X3 RX3

39 ow is the MIMO full duplex problem different? Reflector X1 X2 X3 RX3

40 ow is the MIMO full duplex problem different? Reflector 11 X1 X2 X3 RX3

41 ow is the MIMO full duplex problem different? Reflector X1 X2 X3 RX3

42 ow is the MIMO full duplex problem different? Reflector X1 X2 X3 RX3

43 ow is the MIMO full duplex problem different? Reflector X1 X2 X3 RX3

44 ow is the MIMO full duplex problem different? Reflector X1 X2 X3 RX3

45 ow is the MIMO full duplex problem different? Reflector X1 X2 X3 RX3

46 ow is the MIMO full duplex problem different? Reflector X1 X2 X3 RX3

47 ow is the MIMO full duplex problem different? Reflector ,21 12,, X1 X2 X3 RX3

48 ow is the MIMO full duplex problem different? Reflector 11 13,21 12,, X1 X2 X3 RX3

49 ow is the MIMO full duplex problem different? Reflector 11 13,21 12,, X1 X2 X3 RX3

50 ow is the MIMO full duplex problem different? Reflector ,21 12,, X1 X2 X3 RX3

51 ow is the MIMO full duplex problem different? Reflector ,21, 31 12, 22,, 23, X1 X2 X3 RX3

52 ow is the MIMO full duplex problem different? Reflector 11 13,21, 31 12, 22,, 23, X1 X2 X3 RX3

53 ow is the MIMO full duplex problem different? Reflector A1 A2 3 Antenna Full Duplex MIMO Radio A ,21, 31 12, 22,, 23, X1 X2 X3 RX3

54 ow is the MIMO full duplex problem different? Reflector A1 11 A2 3 Antenna Full Duplex MIMO Radio A ,21, 31 12, 22,, 23, X1 X2 X3 RX3

55 ow is the MIMO full duplex problem different? Reflector A A2 A3 3 Antenna Full Duplex MIMO Radio 11 13,21, 31 12, 22,, 23, X1 X2 X3 RX3

56 ow is the MIMO full duplex problem different? Reflector A1 A2 3 Antenna Full Duplex MIMO Radio A ,21, 31 12, 22,, 23, X1 X2 X3 RX3

57 ow is the MIMO full duplex problem different? Reflector A A2 A3 3 Antenna Full Duplex MIMO Radio 11 13,21, 31 12, 22,, 23, X1 X2 X3 RX3

58 ow is the MIMO full duplex problem different? Reflector A A Antenna Full Duplex MIMO Radio A ,21, 31 12, 22,, 23, X1 X2 X3 RX3

59 ow is the MIMO full duplex problem different? Reflector A A Antenna Full Duplex MIMO Radio A ,21, 31 12, 22,, 23, X1 MIMO full duplex X2has quadratically more X3 number RX3 of signals to cancel because of the presence of cross talk.

60 Why not replicate the SISO full duplex design to cancel all the self-talk and cross-talk components for MIMO? 4/25/

61 Naïve Solution: Replicates SISO design A1 A2 3 Antenna Full Duplex MIMO Radio A3

62 Naïve Solution: Replicates SISO design 11 A1 A2 3 Antenna Full Duplex MIMO Radio A3

63 Naïve Solution: Replicates SISO design 11 A1 A2 3 Antenna Full Duplex MIMO Radio A3

64 Naïve Solution: Replicates SISO design 11 A1 A2 3 Antenna Full Duplex MIMO Radio A X1

65 Naïve Solution: Replicates SISO design A1 A2 3 Antenna Full Duplex MIMO Radio A X1

66 Naïve Solution: Replicates SISO design A1 A2 3 Antenna Full Duplex MIMO Radio A X1 X2

67 Naïve Solution: Replicates SISO design A1 A2 3 Antenna Full Duplex MIMO Radio A X1 X2

68 Naïve Solution: Replicates SISO design A1 A2 3 Antenna Full Duplex MIMO Radio A RX3 X1 X2 X3

69 Naïve Solution: Replicates SISO design A1 21 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

70 Naïve Solution: Replicates SISO design A1 21 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

71 Naïve Solution: Replicates SISO design A1 21 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

72 Naïve Solution: Replicates SISO design A1 21 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

73 Naïve Solution: Replicates SISO design A1 21 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

74 Naïve Solution: Replicates SISO design A1 21 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

75 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

76 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

77 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

78 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

79 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

80 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

81 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

82 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 X1 X2 X3

83 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 13 X1 X2 X3

84 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 13 X1 X2 X3

85 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX3 13 X1 X2 X3

86 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX X1 X2 X3

87 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio RX X1 X2 otal 9N aps, for M=3 X3

88 Naïve Solution: Replicates SISO design A1 A2 A3 3 Antenna Full Duplex MIMO Radio 11 complexity is quadratic with number of antennas (M) Even worse cancellation residue at each receiver 11 increases 21 linearly with number of 32 antennas (e.g. 3x3 5dB residue) RX X1 X2 otal 9N aps, for M=3 X3

89 CDF Why does the increase in cancellation residue matter? hroughput performance of SISO replication design Our Design 0.6 SISO Replication SISO Low Complexity Replication Gain relative to alf Duplex 3X3 MIMO Median throughput gain is not close to 2x because of large interference residue 4/25/

90 CDF Why does the increase in cancellation residue matter? hroughput performance of SISO replication design Our Design Worse than standard alf Duplex 1.35x SISO Replication SISO Low Complexity Replication Gain relative to alf Duplex 3X3 MIMO Median throughput gain is not close to 2x because of large interference residue 4/25/

91 CDF Why does the increase in cancellation residue matter? hroughput performance of SISO replication design Worse than standard alf Duplex Ideal Solution: 1.35x Gain relative to alf Duplex 3X3 MIMO Our Design SISO Replication SISO Low Complexity Replication complexity scales linearly with number of antennas (M) Median throughput Residue gain is same not close as to SISO 2x because and should of not be impacted large by interference number ofresidue MIMO antennas 4/25/

92 echnical Contributions Designed & implemented a near-ideal MIMO in-band full duplex radio ybrid (analog & digital) cross and self-talk cancellation circuits & algorithms that completely eliminate interference to the noise floor Prototype 3x3 MIMO full duplex radios using off-the-shelf WiFi radios Experimental indoor evaluation which demonstrates that our design practically achieves close to the 2x theoretically expected throughput gain 4/25/2014

93 echnical Contributions Designed & implemented a near-ideal MIMO in-band full duplex radio ybrid (analog & digital) cross and self-talk cancellation circuits & algorithms that completely eliminate interference to the noise floor complexity scales linearly with M (number of antennas). Prototype 3x3 MIMO full duplex radios using off-the-shelf WiFi radios Experimental indoor evaluation which demonstrates that our design practically achieves close to the 2x theoretically expected throughput gain 4/25/2014

94 echnical Contributions Designed & implemented a near-ideal MIMO in-band full duplex radio ybrid (analog & digital) cross and self-talk cancellation circuits & algorithms that completely eliminate interference to the noise floor complexity scales linearly with M (number of antennas). residue is the same as the SISO full duplex, i.e. it does not degrade with increasing number of antennas. Prototype 3x3 MIMO full duplex radios using off-the-shelf WiFi radios Experimental indoor evaluation which demonstrates that our design practically achieves close to the 2x theoretically expected throughput gain 4/25/2014

95 Key Idea: Reducing Complexity 11 X1 11

96 Key Idea: Reducing Complexity X1 X2

97 Key Idea: Reducing Complexity X1 X2

98 Key Idea: Reducing Complexity X1 X2 Can we reuse the self talk cancellation to also cancel the cross talk?

99 Why can self talk cancellation be used to partly model cross talk? 11 f 21 f 11 f X1 X2 4/25/

100 Why can self talk cancellation be used to partly model cross talk? Share Environment Share Reflectors 11 f 21 f 11 f X1 X2 4/25/

101 Why can self talk cancellation be used to partly model cross talk? Share Environment Share Reflectors 11 f 21 f Self talk and cross talk transfer function are related as they undergo similar environment. 11 f X1 X2 4/25/

102 Why can self talk cancellation be used to partly model cross talk? Share Environment Share Reflectors 11 f 21 f Self talk and cross talk transfer function are related as they undergo similar environment. A lot of work for modeling self-talk is already done, we need to create only the difference in self talk and cross talk. X1 11 f X2 4/25/

103 Why can self talk cancellation be used to partly model cross talk? Share Environment Share Reflectors Self talk and cross talk transfer function are related as they undergo similar environment. A lot of work for modeling self-talk is already done, we need to create only the difference in self talk and cross talk. 11 f 21 f 11 f X1 X2 21 f = cas cade f. 11 f 4/25/

104 Why can self talk cancellation be used to partly model cross talk? Share Environment Share Reflectors Self talk and cross talk transfer function are related as they undergo similar environment. A lot of work for modeling self-talk is already done, we need to create only the difference in self talk and cross talk. 11 f 21 f 11 f X1 X2 21 f = cas cade f. 11 f Can we leverage this relationship to reduce the cancellation complexity 4/25/

105 Empirical Observation 11 f 21 f 21 f = cas cade f. 11 f Cascade ransfer Function X1 11 f X2

106 Empirical Observation 11 f 21 f 21 f = cas cade f. 11 f Cascade ransfer Function X1 11 f X2 Cascade ransfer Function Collect cross talk and self talk for various indoor environments

107 Empirical Observation 11 f 21 f 21 f = cas cade f. 11 f Cascade ransfer Function X1 11 f X2 Cascade ransfer Function Collect cross talk and self talk for various indoor environments Learning Algorithm Complexity Reduction From all the possible cascade response, calculate via optimization the best low complexity circuit which achieves the cascade transfer function (offline analysis) hese cascade circuits are very low complexity, thus allowing us to get close to linear complexity

108 Reducing Complexity: Cascaded N taps RX3 X2 X3 X1

109 Reducing Complexity: Cascaded N taps RX3 c21 X2 X3 X1 C taps

110 Reducing Complexity: Cascaded N taps RX3 c21 c31 X2 X3 X1 C taps D taps

111 Reducing Complexity: Cascaded N taps RX3 c21 c31 X2 X3 X1 C taps D taps Cascaded s

112 Reducing Complexity: Cascaded N taps RX3 c21 c31 X2 X3 X1 C taps D taps Cascaded s aps: N >> C > D

113 Reducing Complexity: Cascaded N taps RX3 c21 c31 X2 X3 X1 C taps D taps Cascaded s aps: N >> C > D otal aps: N+ C + D, for Chain 1 General Complexity per chain: ~N << M.N

114 Complete Cascaded Design: RX3 X1 X2 aps: N >> C > D X3

115 Complete Cascaded Design: RX3 X1 X2 aps: N >> C > D X3

116 Complete Cascaded Design: RX3 c21 C taps X1 X2 aps: N >> C > D X3

117 Complete Cascaded Design: RX3 c21 C taps X1 X2 aps: N >> C > D X3

118 Complete Cascaded Design: RX3 c21 c31 C taps D taps X1 X2 aps: N >> C > D X3

119 Complete Cascaded Design: RX3 c21 c31 C taps D taps Cascaded X1 X2 aps: N >> C > D X3

120 Complete Cascaded Design: RX3 c21 c31 C taps D taps Cascaded X1 X2 aps: N >> C > D X3

121 Complete Cascaded Design: RX3 c21 c31 c12 C taps D taps C taps Cascaded X1 X2 aps: N >> C > D X3

122 Complete Cascaded Design: RX3 c21 c31 c12 c32 C taps D taps C taps C taps Cascaded X1 X2 aps: N >> C > D X3

123 Complete Cascaded Design: RX3 c21 c31 c12 c32 C taps D taps C taps C taps Cascaded X1 X2 aps: N >> C > D X3

124 Complete Cascaded Design: RX3 c21 c31 c12 c32 c32 C taps D taps C taps C taps C taps Cascaded X1 X2 aps: N >> C > D X3

125 Complete Cascaded Design: RX3 c21 c31 c12 c32 c32 c31 C taps D taps C taps C taps C taps D taps Cascaded X1 X2 aps: N >> C > D X3

126 Complete Cascaded Design: RX3 c21 c31 c12 c32 c32 c31 C taps D taps C taps C taps C taps D taps Cascaded X1 X2 aps: N >> C > D X3

127 Complete Cascaded Design: RX3 c21 c31 c12 c32 c32 c31 C taps D taps C taps C taps C taps D taps Cascaded X1 X2 aps: N >> C > D X3

128 Complete Cascaded Design: RX3 c21 c31 c12 c32 c32 c31 C taps D taps C taps C taps C taps D taps Cascaded X1 X2 X3 aps: N >> C > D otal aps: 3N+ 4C + 2D, for M=3 General Complexity: ~ M.N << M 2.N

129 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design 11 A1 Analog Isolation A2 Analog Isolation A3 Analog Isolation RX3 X1 X2 xb3

130 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design 11 A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation RX3 X1 X2 xb3

131 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation RX3 X1 X2 xb3

132 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation RX3 X1 C X2 xb3

133 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation RX3 X1 C X2 xb3 esidue=e

134 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation RX3 X1 C X2 xb3 esidue=e C

135 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation RX3 X1 C X2 xb3 esidue=e Residue=2e + 31 C

136 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation RX3 X1 C X2 xb3 esidue=e C Residue=2e + 31 C

137 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation RX3 X1 C X2 xb3 esidue=e C Residue=2e + 31 C Residue= 3e

138 nterference Residue with Cascaded Design shows no egradation Independent raining with SISO Replication Design Improved Joint raining with Cascaded Design A1 Analog Isolation 21 A2 Analog Isolation A3 Analog Isolation A1 Analog Isolation A2 Analog Isolation A3 Analog Isolation RX3 X1 C X2 xb3 X1 X2 X3 RX3 esidue=e Residue=2e + 31 C C Cascaded Cancel Residue= 3e Residue = e

139 Evaluation Q1: Does it work with commodity radios?

140 Evaluation Q1: Does it work with commodity radios? Goal: Build 3X3 MIMO full duplex radio using commodity software radios.

141 Evaluation Q1: Does it work with commodity radios? Goal: Build 3X3 MIMO full duplex radio using commodity software radios. Maxim transceiver Challenge: Extremely high transmitter noise and nonlinearities 20Mz BW (transceiver limitation) 20 dbm max X power WiFi n PY

142 Evaluation Q1: Does it work with commodity radios? Goal: Build 3X3 MIMO full duplex radio using commodity software radios Maxim transceiver Challenge: Extremely high transmitter noise and nonlinearities 20Mz BW (transceiver limitation) 20 dbm max X power WiFi n PY c12 c21

143 Evaluation Q1: Does it work with commodity radios? 4/25/

144 Evaluation Q1: Does it work with commodity radios? Indoor noisy office environment 4/25/

145 Power in dbm Evaluation Q1: Does it work with commodity radios? Indoor noisy office environment Frequency in Ghz otal X Signal After Self-talk Cancel After Cross-talk 1 Cancel After Cross-talk 2 Cancel After Digital Cancel Noise floor 4/25/

146 Power in dbm Evaluation Q1: Does it work with commodity radios? Indoor noisy office environment unes to environmental changes within 8us, needs to be re-tuned every 60 ms otal X Signal Frequency in Ghz Prototype implementation completely cancels interference to noise floor for a 3x3 MIMO radio 4/25/ After Self-talk Cancel After Cross-talk 1 Cancel After Cross-talk 2 Cancel After Digital Cancel Noise floor

147 Evaluation Q2: Does it have linear Complexity Scaling? Resource Comparison between SISO replication and our design Analog taps (3X3) Digital taps (3X3) SISO replication design Our design (reduced by 1.92x) (reduced by 2.45x) uning time (3X3) 9 ms.024 ms (reduced by 375x)

148 Evaluation Q2: Does it have linear Complexity Scaling? Resource Comparison between SISO replication and our design Analog taps (3X3) Digital taps (3X3) SISO replication design Our design (reduced by 1.92x) (reduced by 2.45x) uning time (3X3) 9 ms.024 ms (reduced by 375x) Complexity of both Analog and Digital, scales linearly as number of antennas increases

149 CDF Evaluation Q4: Does that translate to doubling of throughput in practice? Our Design SISO Replication SISO Low Complexity Replication Gain relative to alf Duplex 3X3 MIMO 4/25/

150 CDF Evaluation Q4: Does that translate to doubling of throughput in practice? Our Design SISO Replication x SISO Low Complexity Replication Gain relative to alf Duplex 3X3 MIMO 4/25/

151 CDF Evaluation Q4: Does that translate to doubling of throughput in practice? Our Design Worse than standard alf Duplex 1.95x SISO Replication SISO Low Complexity Replication Gain relative to alf Duplex 3X3 MIMO Our design practically achieves the theoretical throughput doubling 4/25/

152 Conclusion Design and implementation of a near-ideal complexity and performance full duplex MIMO radio Shows that full duplex and MIMO can operate concurrently as applications to many other problems Radio slicing, backscatter, imaging etc Many implications for MAC layer design Feedback, beamforming, MU-MIMO 4/25/

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