Quadrature amplitude modulation for time-reversal systems

1. A method of a time reversal (TR) type 1 transceiving device and a set of at least one TR type 2 transceiving device comprising:

at the TR type 1 transceiving (TR1) device, receiving asynchronously at least one channel probing signal sent from each of the set of at least one TR type 2 transceiving (TR2) device through a wireless multipath channel associated with a space,

wherein the at least one channel probing signal of each TR2 device is sent in a manner asynchronous from the at least one channel probing signal of the rest of the set of at least one TR2 device;

performing time reversal asynchronously on at least one channel response signal derived from the at least one received channel probing signal sent from each of the set of at least one TR2 device;

generating asynchronously at least one signature waveform associated with the TR1 device, the wireless multipath channel, the space and each TR2 device, based on the at least one time-reversed channel response signal associated with respective TR2 device;

determining asynchronously that a set of at least one transmit signal corresponding to the set of at least one TR2 device is each to be transmitted from the TR1 device to respective TR2 device through the wireless multipath channel;

performing quadrature amplitude modulation (QAM) asynchronously on each of the set of at least one transmit signal to generate a respective quadrature amplitude modulated signal; and

generating asynchronously a transmission signal associated with each respective TR2 device based on the respective quadrature amplitude modulated signal and the respective at least one signature waveform.

2. The method of claim 1 in which:

performing quadrature amplitude modulation asynchronously on each transmit signal comprises:

dividing asynchronously the transmit signal into a first part and a second part,

applying asynchronously amplitude modulation on the first part to generate an in-phase part of the quadrature amplitude modulated signal, and

applying asynchronously amplitude modulation on the second part to generate a quadrature part of the quadrature amplitude modulated signal.

3. The method of claim 1 in which:

each signature waveform comprises a complex signal having a real part and an imaginary part.

4. The method of claim 1 further comprising:

generating a combined transmission signal by:

generating an in-phase component of the combined transmission signal by adding real part of a set of at least one transmission signal each associated with respective TR2 device, and

generate a quadrature component of the combined transmission signal by adding imaginary part of the set of at least one transmission signal each associated with respective TR2 device.

5. The method of claim 1 in which:

generating asynchronously the respective transmission signal comprises performing asynchronously a convolution of one of the respective at least one signature waveform and one of: the respective quadrature amplitude modulated signal and a modified version of the respective quadrature amplitude modulated signal.

6. The method of claim 5 in which:

the modified version of the respective quadrature amplitude modulated signal comprises an up-sampled version of the respective quadrature amplitude modulated signal; and

generating asynchronously the respective transmission signal comprises performing asynchronously a convolution of one of the respective at least one signature waveform and the up-sampled version of the respective quadrature amplitude modulated signal.

7. The method of claim 1 in which:

each of the set of at least one transmit signal comprises a digital transmit signal; and

performing quadrature amplitude modulation comprises:

encoding data bits of the transmit signal based on Gray codes, and

mapping Gray-coded data bits to quadrature amplitude modulated symbols.

8. The method of claim 1 in which:

generating the at least one signature waveform comprises generating each signature waveform that is a time-reversed conjugate signal of respective channel response signal.

9. The method of claim 1 in which:

performing quadrature amplitude modulation on each transmit signal comprises performing at least one of: 4 QAM, 16 QAM, 64 QAM, 256 QAM and another QAM.

10. The method of claim 1 further comprising:

sending at least one common channel probing signal from the TR1 device through the wireless multipath channel associated with the space to the set of at least one TR2 device,

wherein each of a subset of the set of at least one TR2 device to:

perform time reversal on at least one channel response signal derived from the at least one received common channel probing signal sent from the TR1 device to the TR2 device,

generate at least one signature waveform associated with the TR1 device, the wireless multipath channel, the space and the TR2 device, based on the at least one time-reversed channel response signal associated with the TR1 device,

determine that a set of at least one transmit signal corresponding to the TR1 device is each to be transmitted from the TR2 device to the TR1 device through the wireless multipath channel,

perform quadrature amplitude modulation (QAM) on each of the set of at least one transmit signal to generate a respective quadrature amplitude modulated signal, and

generate a transmission signal associated with the TR1 device based on the respective quadrature amplitude modulated signal and the respective at least one signature waveform.

11. A time reversal (TR) type 2 transceiving device comprising:

a transceiver;

a processor;

a memory communicatively coupled with the processor and the transceiver;

a set of instructions to be executed by the processor using the memory to:

send at least one channel probing signal from the TR type 2 transceiving (TR2) device to a TR type 1 transceiving (TR1) device through a wireless multipath channel associated with a space,

wherein the at least one channel probing signal is sent in a manner asynchronous from any channel probing signal of any other TR2 devices,

wherein the TR1 device to perform asynchronously time reversal on at least one channel response signal derived from the at least one channel probing signal sent from the TR2 device,

wherein the TR1 device to generate asynchronously at least one signature waveform associated with each of a set of at least one TR2 device comprising the TR2 device and the any other TR2 devices,

wherein the TR1 device to determine asynchronously that a set of at least one transmit signal corresponding to the set of at least one TR2 device is each to be transmitted from the TR1 device to respective TR2 device through the wireless multipath channel;

wherein the TR1 device to perform quadrature amplitude modulation (QAM) asynchronously on each of the set of at least one transmit signal to generate a respective quadrature amplitude modulated signal; and

wherein the TR1 device to generate asynchronously a transmission signal associated with each respective TR2 device based on the respective quadrature amplitude modulated signal and the respective at least one signature waveform.

12. The TR2 device of claim 11 in which:

performing quadrature amplitude modulation asynchronously on each transmit signal comprises:

dividing asynchronously the transmit signal into a first part and a second part,

applying asynchronously amplitude modulation on the first part to generate an in-phase part of the quadrature amplitude modulated signal, and

applying asynchronously amplitude modulation on the second part to generate a quadrature part of the quadrature amplitude modulated signal.

13. The TR2 device of claim 11 in which:

each signature waveform comprises a complex signal having a real part and an imaginary part.

14. The TR2 device of claim 11 in which:

generating a combined transmission signal by:

generating an in-phase component of the combined transmission signal by adding real part of a set of at least one transmission signal each associated with respective TR2 device, and

generate a quadrature component of the combined transmission signal by adding imaginary part of the set of at least one transmission signal each associated with respective TR2 device.

15. The TR2 device of claim 11 :

wherein the TR1 device to send at least one common channel probing signal from the TR1 device through the wireless multipath channel associated with the space to the set of at least one TR2 device,

wherein the set of instructions further to:

perform time reversal on at least one channel response signal derived from the at least one received common channel probing signal sent from the TR1 device to the TR2 device,

generate at least one signature waveform associated with the TR1 device, the wireless multipath channel, the space and the TR2 device, based on the at least one time-reversed channel response signal associated with the TR1 device,

determine that a set of at least one transmit signal corresponding to the TR1 device is each to be transmitted from the TR2 device to the TR1 device through the wireless multipath channel,

perform quadrature amplitude modulation (QAM) on each of the set of at least one transmit signal to generate a respective quadrature amplitude modulated signal, and

generate a transmission signal associated with the TR1 device based on the respective quadrature amplitude modulated signal and the respective at least one signature waveform.

16. A time reversal (TR) type 1 transceiving device comprising:

a transceiver;

a processor;

a memory communicatively coupled with the processor and the transceiver;

a set of instructions to be executed by the processor using the memory to:

receive asynchronously at least one channel probing signal sent from each of a set of at least one TR type 2 transceiving (TR2) device through a wireless multipath channel associated with a space,

wherein the at least one channel probing signal of each TR2 device is sent in a manner asynchronous from the at least one channel probing signal of the rest of the set of at least one TR2 device;

perform time reversal asynchronously on at least one channel response signal derived from the at least one received channel probing signal sent from each of the set of at least one TR2 device;

generate asynchronously at least one signature waveform associated with the TR1 device, the wireless multipath channel, the space and each TR2 device, based on the at least one time-reversed channel response signal associated with respective TR2 device;

determine asynchronously that a set of at least one transmit signal corresponding to the set of at least one TR2 device is each to be transmitted from the TR1 device to respective TR2 device through the wireless multipath channel;

perform quadrature amplitude modulation (QAM) asynchronously on each of the set of at least one transmit signal to generate a respective quadrature amplitude modulated signal; and

generate asynchronously a transmission signal associated with each respective TR2 device based on the respective quadrature amplitude modulated signal and the respective at least one signature waveform.

17. The TR1 device of claim 16 in which:

each of the set of at least one transmit signal comprises a digital transmit signal; and

performing quadrature amplitude modulation comprises:

encoding data bits of the transmit signal based on Gray codes, and

mapping Gray-coded data bits to quadrature amplitude modulated symbols.

18. The TR1 device of claim 16 in which:

generating the at least one signature waveform comprises generating each signature waveform that is a time-reversed conjugate signal of respective channel response signal.

19. The TR1 device of claim 16 in which:

performing quadrature amplitude modulation on each transmit signal comprises performing at least one of: 4 QAM, 16 QAM, 64 QAM, 256 QAM and another QAM.

20. The TR1 device of claim 16 :

wherein the set of instructions further to:

send at least one common channel probing signal from the TR1 device through the wireless multipath channel associated with the space to the set of at least one TR2 device;

wherein each of a subset of the set of at least one TR2 device to:

perform time reversal on at least one channel response signal derived from the at least one received common channel probing signal sent from the TR1 device to the TR2 device,

generate at least one signature waveform associated with the TR1 device, the wireless multipath channel, the space and the TR2 device, based on the at least one time-reversed channel response signal associated with the TR1 device,

determine that a set of at least one transmit signal corresponding to the TR1 device is each to be transmitted from the TR2 device to the TR1 device through the wireless multipath channel,

perform quadrature amplitude modulation (QAM) on each of the set of at least one transmit signal to generate a respective quadrature amplitude modulated signal, and

generate a transmission signal associated with the TR1 device based on the respective quadrature amplitude modulated signal and the respective at least one signature waveform.