Legal claims defining the scope of protection, as filed with the USPTO.
1. A method, comprising: receiving an incoming data signal via a processor of a transmitter, wherein the data signal comprises an in-phase (I) component and a quadrature (Q) component; computing one or more roots of a first function representing a phase component of the data signal; computing a second function representing the phase component based at least in part on the one or more roots; deriving a periodicity of the phase component based at least in part on the second function; and adjusting a value of a slope of the phase component based at least in part on the periodicity of the phase component, wherein adjusting the value of the slope comprises reducing or substantially eliminating an error of the phase component; recombining an amplitude component and the phase component into a polar coordinate transmission signal following the adjustment of the value of the slope; and transmitting the polar coordinate transmission signal via the transmitter.
2. The method of claim 1 , wherein receiving the incoming data signal comprises receiving a Cartesian coordinate representation of the data signal.
3. The method of claim 1 , wherein receiving the incoming data signal comprises receiving a plurality of orthogonal frequency division multiplexing (OFDM) data symbols.
4. The method of claim 1 , wherein computing the one or more roots of the first function comprises computing one or more zeroes of the first function in a frequency domain.
5. The method of claim 1 , wherein adjusting the value of the slope comprises adjusting the value of the slope to be equal to a total number N subcarriers of the data signal divided by 2, and wherein N is greater than 0.
6. The method of claim 1 , wherein adjusting the value of the slope comprises generating a periodic phase signal component.
7. The method of claim 1 , wherein adjusting the value of the slope comprises deriving a value of a slope of each of a plurality of orthogonal frequency division multiplexing (OFDM) data symbols.
8. The method of claim 1 , wherein adjusting the value of the slope comprises adjusting the value of the slope to be equal to a value of approximately 0 to attenuate or substantially annul the slope.
9. The method of claim 1 , wherein adjusting the value of the slope comprises reducing or substantially eliminating a carrier frequency offset (CFO) as the error.
10. An electronic device, comprising: a transmitter, comprising: a polar modulator device configured to: receive a first signal comprising orthogonal frequency division multiplexing (OFDM) data symbols encoded according to in-phase/quadrature (I/Q) vectors; adjust a slope of a phase component of the first signal based at least in part on a periodicity of the phase component, wherein adjusting the slope of the phase component comprises reducing or substantially eliminating an error of the phase component; combine an amplitude component of the first signal and the phase component into a polar coordinate transmission signal; and an amplifier configured to generate an electromagnetic signal based on the polar coordinate transmission signal for transmission.
11. The electronic device of claim 10 , wherein the second signal comprises a physical layer convergence procedure (PLCP) protocol data unit (PPDU) frame format comprising approximately 52 subcarriers, and wherein the OFDM data symbols are stored into a first subset of the approximately 52 subcarriers.
12. The electronic device of claim 11 , wherein a second subset of the approximately 52 subcarriers comprises a preamble of the PPDU frame format, and wherein the preamble comprises a plurality of long legacy training field (L-LTF) symbols and a plurality of short legacy training field (S-LTF) symbols.
13. The electronic device of claim 12 , wherein the polar modulator device is configured to adjust the slope of the phase component by adjusting a slope of each of the plurality of L-LTF symbols.
14. The electronic device of claim 10 , wherein the polar modulator device is configured to adjust the slope of the phase component by increasing the periodicity of the phase component.
15. The electronic device of claim 10 , wherein the polar modulator device is configured to adjust a slope of a phase component of each of the OFDM data symbols.
16. The electronic device of claim 15 , wherein the polar modulator device is configured to adjust the slope of the phase component of each of the OFDM data symbols to reduce or substantially eliminate an accumulation of phase error components between each of the OFDM data symbols.
17. The electronic device of claim 10 , wherein the polar modulator device is configured to adjust the value of the slope to reduce or substantially eliminate an offset error engendered between a frequency command word (FCW) and a carrier frequency as the phase error.
18. A method, comprising: receiving an incoming orthogonal frequency division multiplexing (OFDM) signal data signal via a processor of a transmitter; deriving a phase component of the OFDM signal via the processor of an electronic device the transmitter, wherein the OFDM signal comprises N number of subcarriers; deriving a slope M i of the phase component; adjusting the slope M i of the phase component based at least in part on a periodicity of the phase component, wherein adjusting the slope M i comprises reducing or substantially eliminating an error of the phase component; combining the phase component and an amplitude component to generate a polar form OFDM transmission signal; and transmitting the polar form OFDM transmission signal via the transmitter.
19. The method of claim 18 , wherein deriving the slope of the phase component comprises deriving a slope M i = N 2 ≈ 0 , wherein N comprises a total number of subcarriers of the OFDM signal and i comprises a discrete time interval of the OFDM signal, and wherein the total number of subcarriers is greater than 0.
20. The method of claim 18 , wherein deriving the phase component of the OFDM signal comprises deriving a phase component of each of a plurality OFDM symbols encoded within the OFDM signal.
21. The method of claim 18 , wherein deriving the phase component of the OFDM signal comprises deriving a phase component expressed by: ∠ x ( t ) = ( M i - N 2 ) · 2 π T · t + ∠ A + ∑ m = 1 M t ( 1 - a m ⅇ - j 2 π T s t ) + ∑ m = 1 M 0 ( 1 - b m ⅇ j 2 π T s t ) .
22. The method of claim 21 , wherein adjusting the slope of the phase component comprises adjusting the slope to a value M i = N 2 .
23. The method of claim 21 , wherein adjusting the slope of the phase component comprises adjusting the slope to a value M i ≈ N 2 .
24. The method of claim 18 , comprising deriving the amplitude component of the OFDM signal.
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February 23, 2016
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