Systems/methods of providing increased wireless capacity, vehicular safety, electrical power wirelessly, and device control responsive to geographic position

• US 10,804,998 B2
• Filed: 01/17/2019
• Issued: 10/13/2020
• Est. Priority Date: 05/07/2018
• Status: Active Grant

• Current Assignee: ENK Wireless Inc.
• Original Assignee: ENK Wireless Inc.
• Inventors: Karabinis, Peter D.
• Primary Examiner(s): Tran, Khanh C
• Application Number:
  US16/250,532
• Publication Number:
  US 20190341993A1
• Time in Patent Office: 635 Days
• CPC Class Codes: H04B 1/715 Interference-related aspects
• CPC Class Codes: H04B 17/102 Power radiated at antenna
• CPC Class Codes: H04B 17/318 Received signal strength
• CPC Class Codes: H04B 2001/7154 with means for preventing interference
• CPC Class Codes: H04B 5/79 for data transfer in combination with power transfer
• CPC Class Codes: H04B 7/0695 using beam selection
• CPC Class Codes: H04B 7/0837 using pre-detection combining H04B7/0868 takes precedence
• CPC Class Codes: H04B 7/10 Polarisation diversity; Directional diversity
• CPC Class Codes: H04W 52/42 in systems with time, space, frequency or polarisation diversity

Abstract

Embodiments of inventive concepts are provided wherein a mobile device, such as a smartphone, may transmit information to a base station, either directly or via auxiliary/slave devices, using first and second spatial polarizations, in order to increase spectral efficiency. Pre-processing at the mobile device and/or post-processing at the base station may be used to reduce cross-polarization interference.

Claims

1. A communications method comprising:

generating by a transmitter a first signal comprising a first function of data that the transmitter is to convey to a receiver;

generating by the transmitter a second signal comprising a second function of data that the transmitter is to convey to the receiver; and

transmitting by the transmitter to the receiver said first and second signals over respective first and second polarizations;

wherein at least one of the first and second functions, as generated by the transmitter, depends upon a product or a quotient of at least two coefficients each one of which characterizes a channel;

wherein said transmitting by the transmitter occurs substantially concurrently in time over said respective first and second polarizations and further occurs substantially co-frequency over said respective first and second polarizations; and

wherein said data comprises first data and second data.

2. The method according to claim 1, wherein said first and/or second function comprises a coefficient that characterizes a channel that relates to said first polarization, a coefficient that characterizes a channel that relates to said second polarization, a coefficient that characterizes a channel that relates to an interference from the first polarization to the second polarization and/or a coefficient that characterizes a channel that relates to an interference from the second polarization to the first polarization.

3. The method according to claim 1, wherein said first and second polarizations are associated with respective first and second antennas of the transmitter.

4. The method according to claim 1, wherein said generating by a transmitter a first signal, generating by the transmitter a second signal and said transmitting by the transmitter are performed by a mobile device that comprises a smartphone.

5. The method according to claim 4, wherein said transmitting by the transmitter comprises:

transmitting by the mobile device over a time-varying, frequency-selective fading channel.

6. The method according to claim 1, wherein said first function comprises a relationship of χ

′

=(χ

+ξ

y), and said second function comprises a relationship of y′

=y;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

β

_HV/α

_VV or ξ

=−

β

_HH/α

_VH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

7. The method according to claim 1, wherein said first function comprises a relationship of χ

′

=[(χ

/α

_VV)+ξ

y], and said second function comprises a relationship of y′

=y;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

β

_HV/α

_VV or ξ

=−

β

_HH/α

_VH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

8. The method according to claim 1, wherein said first function comprises a relationship of χ

′

=χ

, and said second function comprises a relationship of y′

=y+ξ

χ

;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

α

_VV/β

_HV or ξ

=−

α

_VH/β

_HH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

9. The method according to claim 1, wherein said first function comprises a relationship of χ

′

=χ

; and

wherein said second function comprises a relationship of y′

=[(y/β

_HH)+ξ

χ

];

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

α

_VV/β

_HV or ξ

=−

α

_VH/β

_HH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

10. The method according to claim 1, wherein said first function comprises a relationship of χ

′

=(χ

+ξ

y), and

wherein said second function comprises a relationship of y′

=y+λ

χ

;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

β

_HV/α

_VV and λ

=−

α

_VH/β

_HH;

wherein a_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

11. The method according to claim 1, wherein said first function comprises a relationship of χ

′

=χ

[β

_HH/(α

_VVβ

_HH−

β

_HVα

_VH)], and wherein said second function comprises a relationship of y′

=[α

_VV/(β

_HHα

_VV−

β

_HVα

_VH)];

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

12. The method according to claim 1, wherein said first function comprises a relationship of χ

′

=(χ

+ξ

y), and

wherein said second function comprises a relationship of y′

=y+λ

χ

;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

β

_HH/α

_VH and λ

=−

α

_VV/β

_HV;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

13. The method according to claim 1, wherein said first function comprises a relationship of χ

′

=χ

[β

_HV/(α

_VH−

β

_HVα

_VH)], and wherein said second function comprises a relationship of y′

=y[α

_VH/(α

_VHβ

_HV−

β

_HHα

_VV)];

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

14. A communications system comprising a transmitter and a processor that controls the communications system to perform operations comprising:

generating by the transmitter a first signal comprising a first function of data that the transmitter is to convey to a receiver;

generating by the transmitter a second signal comprising a second function of said data that the transmitter is to convey to the receiver; and

transmitting by the transmitter to the receiver said first and second signals over respective first and second polarizations;

wherein at least one of the first and second functions, as generated by the transmitter, depends upon a product or a quotient of at least two coefficients each one of which characterizes a channel;

wherein said transmitting by the transmitter occurs substantially concurrently in time over said respective first and second polarizations and further occurs substantially co-frequency over said respective first and second polarizations; and

wherein said data comprises first data and second data.

15. The system according to claim 14, wherein said first and/or second function comprises a coefficient that characterizes a channel that relates to said first polarization, a coefficient that characterizes a channel that relates to said second polarization, a coefficient that characterizes a channel that relates to an interference from the first polarization to the second polarization and/or a coefficient that characterizes a channel that relates to an interference from the second polarization to the first polarization.

16. The system according to claim 14, wherein said first and second polarizations are associated with respective first and second antennas of the transmitter.

17. The system according to claim 14, wherein said generating by a transmitter a first signal, generating by the transmitter a second signal, and said transmitting by the transmitter are performed by a mobile device that comprises a smartphone.

18. The system according to claim 17, wherein said transmitting by the transmitter comprises:

transmitting by the mobile device over a time-varying, frequency-selective fading channel.

19. The system according to claim 14, wherein said first function comprises a relationship of χ

′

=(χ

+ξ

y), and said second function comprises a relationship of y′

=y;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

β

_HV/α

_VV or ξ

=−

β

_HH/α

_VH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

20. The system according to claim 14, wherein said first function comprises a relationship of χ

′

=[(χ

/α

_VV)+ξ

y], and said second function comprises a relationship of y′

=y;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

β

_HV/α

_VV or ξ

=−

β

_HH/α

_VH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

21. The system according to claim 14, wherein said first function comprises a relationship of χ

′

=χ

, and said second function comprises a relationship of y′

=y+ξ

χ

;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

α

_VV/β

_HV or ξ

=−

α

_VH/β

_HH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

22. The system according to claim 14, wherein said first function comprises a relationship of χ

′

=χ

; and

wherein said second function comprises a relationship of y′

=[(y/β

_HH)+ξ

χ

];

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

α

_VV/β

_HV or ξ

=−

α

_VH/β

_HH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

23. The system according to claim 14, wherein said first function comprises a relationship of χ

′

=(χ

+ξ

y), and

wherein said second function comprises a relationship of y′

=y+λ

χ

;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

β

_HV/α

_VV and λ

=−

α

_VH/β

_HH;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

24. The system according to claim 14, wherein said first function comprises a relationship of χ

′

=χ

[β

_HH/(α

_VVβ

_HH−

β

_HVα

_VH)], and wherein said second function comprises a relationship of y′

=y[α

_VV/(β

_HHα

_VV−

β

_HVα

_VH)];

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

25. The system according to claim 14, wherein said first function comprises a relationship of χ

′

=(χ

+ξ

y), and

wherein said second function comprises a relationship of y′

=y+λ

χ

;

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein ξ

=−

β

_HH/α

_VH and λ

=−

α

_VV/β

_HV;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

26. The system according to claim 14, wherein said first function comprises a relationship of χ

′

=χ

[β

_HV/(α

_VH−

β

_HVα

_VH)], and wherein said second function comprises a relationship of y′

=y[α

_VH/(α

_VHβ

_HV−

β

_HHα

_VV)];

wherein χ

′

comprises said first signal that is transmitted by the transmitter over said first polarization;

y′

comprises said second signal that is transmitted by the transmitter over said second polarization;

χ

comprises said first data; and

y comprises said second data;

wherein α

_VV and β

_HV respectively comprise a co-polarization coefficient associated with said first polarization and a cross-polarization interference coefficient associated with said second polarization; and

wherein β

_HH and α

_VH respectively comprise a co-polarization coefficient associated with said second polarization and a cross-polarization interference coefficient associated with said first polarization.

27. A communications method comprising:

determining a plurality of coefficients that characterize a propagation medium;

using the plurality of coefficients that characterize the propagation medium to form first and second signals, wherein at least one of the first and second signals comprises a functional dependence on data to be transmitted and on one or more coefficients of the plurality of coefficients that characterize the propagation medium; and

transmitting data to a second electronic device from a first electronic device by concurrently transmitting, from the first electronic device to the second electronic device, the first and second signals using a first combination of different first and second polarizations, respectively, associated with the propagation medium.

28. The method of claim 27,

wherein the first electronic device comprises first and second antennas that are associated with the first and second polarizations, respectively, and

wherein the first and second electronic devices respectively comprise a smartphone and a cellular base station, or vice versa.

29. The method of claim 27, further comprising:

generating, by a processor of the first electronic device, the first and second signals, such that the first and second signals depend upon different first and second channel coefficients, respectively.

30. The method of claim 27,

wherein said propagation medium comprises a cellular communications channel,

wherein each one of said first and second signals comprises a spectrum over which said cellular communications channel comprises dispersive fading, and

wherein first and second spectral components of said spectrum of at least one of said first and second signals depend upon respective first and second channel coefficients that differ from one another.

31. The method of claim 27,

wherein said determining a plurality of coefficients that characterize a propagation medium comprises determining a co-polarization coefficient and a cross-polarization coefficient.

32. The method of claim 31,

wherein at least one of said co-polarization and cross-polarization coefficients comprises a complex-valued quantity that comprises a frequency dependency.

33. The method of claim 27,

wherein said determining a plurality of coefficients that characterize a propagation medium comprises:

receiving information at the first electronic device from the second electronic device.

34. The method of claim 33,

wherein said receiving information at the first electronic device from the second electronic device comprises:

receiving information at the first electronic device from the second electronic device over a wireless link and/or over a wireline link.

35. The method of claim 34,

wherein the wireless link comprises a short-range wireless link and wherein the wireline link comprises an internet-based link.

36. The method of claim 27,

wherein said determining a plurality of coefficients that characterize a propagation medium comprises:

transmitting by the first electronic device to the second electronic device and receiving by the first electronic device from the second electronic device using a time division duplex protocol.

37. The method of claim 27, further comprising:

using a second combination of different first and second polarizations that differs from the first combination of different first and second polarizations responsive to said determining and responsive to a value of one or more coefficients of the plurality of coefficients that characterize the propagation medium.

38. The method of claim 27,

wherein the first electronic device comprises a plurality of transmitters and the second electronic device comprises a base station;

and

wherein said transmitting data to a second electronic device from a first electronic device comprises;

relaying data from a master transmitter of the plurality of transmitters to a first slave transmitter of the plurality of transmitters and relaying data from the master transmitter of the plurality of transmitters to a second slave transmitter of the plurality of transmitters; and

wherein said transmitting data to a second electronic device from a first electronic device further comprises;

transmitting data from the first slave transmitter to the base station; and

transmitting data from the second slave transmitter to the base station.

39. The method of claim 38,

wherein said transmitting data from the first slave transmitter to the base station comprises:

transmitting first data over a first vertical polarization associated with the propagation medium and transmitting second data, concurrently and co-frequency with said transmitting first data, over a first horizontal polarization associated with the propagation medium; and

wherein said transmitting data from the second slave transmitter to the base station comprises;

transmitting, over a second vertical polarization associated with the propagation medium, a function of the first data;

wherein the function of the first data depends upon the first data and at least one coefficient of the propagation medium; and

transmitting, over a second horizontal polarization associated with the propagation medium, concurrently and co-frequency with said transmitting the function of the first data, a function of the second data;

wherein the function of the second data depends upon the second data and at least one coefficient of the propagation medium.

40. The method of claim 38,

wherein said relaying data from a master transmitter of the plurality of transmitters to a first slave transmitter of the plurality of transmitters and relaying data from the master transmitter of the plurality of transmitters to a second slave transmitter of the plurality of transmitters comprises:

relaying data from the master transmitter of the plurality of transmitters to the first slave transmitter of the plurality of transmitters using a first set of frequencies over a first interval of time and relaying data from the master transmitter of the plurality of transmitters to the second slave transmitter of the plurality of transmitters using a second set of frequencies over a second interval of time.

41. A communications system comprising a transmitter and a processor that controls the system to perform operations comprising:

determining a plurality of coefficients that characterize a propagation medium;

using the plurality of coefficients that characterize the propagation medium to form first and second signals, wherein at least one of the first and second signals comprises a functional dependence on data to be transmitted and on one or more coefficients of the plurality of coefficients that characterize the propagation medium; and

transmitting by the transmitter data to an electronic device by concurrently transmitting the first and second signals using a first combination of different first and second polarizations, respectively, associated with the propagation medium.

42. The system of claim 41,

wherein the transmitter comprises first and second antennas that are associated with the first and second polarizations, respectively.

43. The system of claim 41, wherein the operations further comprise:

generating the first and second signals, such that the first and second signals depend upon different first and second channel coefficients, respectively.

44. The system of claim 41,

wherein said propagation medium comprises a cellular communications channel,

wherein each one of said first and second signals comprises a spectrum over which said cellular communications channel comprises dispersive fading, and

wherein first and second spectral components of said spectrum of at least one of said first and second signals depend upon respective first and second channel coefficients that differ from one another.

45. The system of claim 41,

wherein said determining a plurality of coefficients that characterize a propagation medium comprises determining a co-polarization coefficient and a cross-polarization coefficient.

46. The system of claim 45,

wherein at least one of said co-polarization and cross-polarization coefficients comprises a complex-valued quantity that comprises a frequency dependency.

47. The system of claim 41,

wherein said determining a plurality of coefficients that characterize a propagation medium comprises:

receiving information at the system from the electronic device.

48. The system of claim 47,

wherein said receiving information at the system from the electronic device comprises:

receiving information at the system from the electronic device over a wireless link and/or over a wireline link.

49. The system of claim 48,

wherein the wireless link comprises a short-range wireless link and wherein the wireline link comprises an internet-based link.

50. The system of claim 47,

wherein said determining a plurality of coefficients that characterize a propagation medium comprises:

transmitting by the system to the electronic device and receiving by the system from the electronic device using a time division duplex protocol.

51. The system of claim 41, wherein the operations further comprise:

using a second combination of different first and second polarizations that differs from the first combination of different first and second polarizations responsive to said determining and responsive to a value of one or more coefficients of the plurality of coefficients that characterize the propagation medium.

52. The system of claim 41,

wherein the system comprises a plurality of transmitters;

and

wherein said transmitting by the transmitter data to an electronic device comprises;

transmitting data from a first transmitter of the plurality of transmitters to the electronic device; and

transmitting data from a second transmitter of the plurality of transmitters to the electronic device.

53. The system of claim 52,

wherein said transmitting data from the first transmitter to the electronic device comprises:

transmitting first data over a first vertical polarization associated with the propagation medium and transmitting second data, concurrently and co-frequency with said transmitting first data, over a first horizontal polarization associated with the propagation medium; and

wherein said transmitting data from the second transmitter to the electronic device comprises;

transmitting, over a second vertical polarization associated with the propagation medium, a function of the first data;

wherein the function of the first data depends upon the first data and at least one coefficient of the propagation medium; and

transmitting, over a second horizontal polarization associated with the propagation medium, concurrently and co-frequency with said transmitting the function of the first data, a function of the second data;

wherein the function of the second data depends upon the second data and at least one coefficient of the propagation medium.

54. The system of claim 52,

wherein the plurality of transmitters comprises a master transmitter, a first slave transmitter and a second slave transmitter;

and

wherein the operations further comprise;

relaying data from the master transmitter to the first slave transmitter using a first set of frequencies, a first interval of time and transmitting data from the first slave transmitter to the electronic device; and

relaying data from the master transmitter to a second slave transmitter using a second set of frequencies over a second interval of time and transmitting data from the second slave transmitter to the electronic device;

wherein said transmitting data from the first slave transmitter to the electronic device comprises;

transmitting first data over a first vertical polarization associated with the propagation medium and transmitting second data, concurrently and co-frequency with said transmitting first data, over a first horizontal polarization associated with the propagation medium; and

wherein said transmitting data from the second slave transmitter to the electronic device comprises;

transmitting, over a second vertical polarization associated with the propagation medium, a function of the first data;

wherein the function of the first data depends upon the first data and at least one coefficient of the propagation medium; and

transmitting, over a second horizontal polarization associated with the propagation medium, concurrently and co-frequency with said transmitting the function of the first data, a function of the second data;

wherein the function of the second data depends upon the second data and at least one coefficient of the propagation medium.