Electromagnetic wave transmitter, receiver and transceiver systems, methods and articles of manufacture
View Patent ↗The invention is directed to a system for processing an electromagnetic wave by receiving rectangular coordinate information for the electromagnetic wave; and directly converting the rectangular coordinate information into a magnitude signal, a sin(Φ), and a cos(Φ) signal using a CORDIC algorithm, where Φ represents a phase of the electromagnetic wave. The direct converting my be accomplished using shift and add/subtract operations in a processor and a look-up table, or by using at least two cascaded processors employing the CORDIC algorithm.
1. A method for processing an electromagnetic wave comprising the steps of:
receiving rectangular coordinate information for said electromagnetic wave; and
directly converting said rectangular coordinate information into a magnitude signal, a sin(Φ), and a cos(Φ) signal using a CORDIC algorithm employing shift and add/subtract operations, where Φ represents a phase of said electromagnetic wave.
2. A method as in claim 1 , wherein said shift and add/subtract operations are accomplished using a processor employing said CORDIC algorithm.
3. A method as in claim 1 , wherein said step of direct converting includes a preprocessing stage that maps said rectangular coordinate information to a right hand plane of a coordinate map to avoid any phase ambiguity prior to said shift and add/subtract operations.
4. A method as in claim 3 , wherein said magnitude signal, said sin(Φ) signal and said cos(Φ) signal are generated in accordance with the equations:
[
X
n
+
1
Y
n
+
1
]
=
[
1
μ
(
n
)
2
-
n
-
μ
(
n
)
2
-
n
1
]
[
X
n
Y
n
]
and
[
C
n
+
1
S
n
+
1
]
=
[
1
-
μ
(
n
)
2
-
n
μ
(
n
)
2
-
n
1
]
[
C
n
S
n
]
where the number of iterations, n, varies from 0 to N−1;
wherein X 0 is set to an in-phase component value of said electromagnetic wave, Y 0 is set to a quadrature component value of said electromagnetic wave, C 0 is set to a constant gain value K, S 0 is set to 0, and μ(n) is the sign of the electromagnetic wave and wherein said magnitude equals X N multiplied by said constant value K and Y N equals 0;
wherein X 0 is then set to said constant value K and Y 0 is set to 0; and
wherein said cos(Φ) equals X N multiplied by the sign of said in-phase component value and sin(Φ) equals Y N multiplied by the sign of said quadrature component value.
5. An electromagnetic wave processor programmed to receive rectangular coordinate information for an electromagnetic wave, and to directly convert said rectangular coordinate information into a magnitude signal, a sin(Φ), and a cos(Φ) signal using a CORDIC algorithm employing shift and add/subtract operations, where Φ represents a phase of said input signal.
6. A processor as in claim 5 , wherein said processor is programmed to map said rectangular coordinate information to a right hand plane of a coordinate map to avoid any phase ambiguity prior to said shift and add/subtract operations.
7. A processor as in claim 5 , wherein said magnitude signal, said sin(Φ) signal and said cos(Φ) signal are generated in accordance with the equations:
[
X
n
+
1
Y
n
+
1
]
=
[
1
μ
(
n
)
2
-
n
-
μ
(
n
)
2
-
n
1
]
[
X
n
Y
n
]
and
[
C
n
+
1
S
n
+
1
]
=
[
1
-
μ
(
n
)
2
-
n
μ
(
n
)
2
-
n
1
]
[
C
n
S
n
]
where the number of iterations, n, varies from 0 to N−1;
wherein X 0 is set to an in-phase component value of said electromagnetic wave, Y 0 is set to a quadrature component value of said electromagnetic wave, C 0 is set to a constant gain value K, S 0 is set to 0, and μ(n) is the sign of the electromagnetic wave and wherein said magnitude equals X N multiplied by said constant value K and Y N equals 0;
wherein X 0 is then set to said constant value K and Y 0 is set to 0; and
wherein said cos(Φ) equals X N multiplied by the sign of said in-phase component value and sin(Φ) equals Y N multiplied by the sign of said quadrature component value.
8. A method for processing of an input wave comprising the steps of:
receiving quadrature information that represents said input wave when combined;
using a CORDIC algorithm employing shift and add/subtract operations to directly convert said quadrature information into a magnitude signal, a sin(Φ), and a cos(Φ) signal, where Φ represents a phase of said input signal;
generating at least one modified signal using at least one of said sin(Φ) signal and/or said cos(Φ) signal; and
regulating said modified signal using said magnitude signal to generate an output signal.
9. A method as in claim 8 , wherein said step of direct converting includes a preprocessing stage that maps said rectangular coordinate information to a right hand plane of a coordinate map to avoid any phase ambiguity prior to said shift and add/subtract operations.
10. A method as in claim 8 , wherein said step of regulating said modified signal is performed using a plurality of segments.
11. A method as in claim 10 , wherein one or more of said segments is independently controlled as a power amplifier to contribute power to an output signal.
12. A method as in claim 11 , wherein said power is contributed to said output signal by using one or more selected from the group consisting of power transformers, quarter-wave transmission lines, discrete LC components, and a Pi-networks.
13. A method as in claim 10 , wherein one or more of said segments is independently controlled as a current source to contribute current to an output signal.
14. An apparatus for processing of an input wave comprising the steps of:
a processor programmed for receiving quadrature information that represents said input wave when combined, and for using a CORDIC algorithm that uses shift and add/subtract operations to directly convert said quadrature information into a magnitude signal, a sin(Φ), and a cos(Φ) signal, where Φ represents a phase of said input signal;
a signal generator for generating at least one modified signal using at least one of said sin(Φ) signal and/or said cos(Φ) signal; and
an output signal generator for receiving said modified signal and using said magnitude signal to generate an output signal.
15. An apparatus as in claim 14 , wherein said processor is programmed to map said rectangular coordinate information to a right hand plane of a coordinate map to avoid any phase ambiguity prior to said shift and add/subtract operations.
16. An apparatus as in claim 14 , wherein said magnitude signal, said sin(Φ) signal and said cos(Φ) signal are generated in accordance with the equations:
[
X
n
+
1
Y
n
+
1
]
=
[
1
μ
(
n
)
2
-
n
-
μ
(
n
)
2
-
n
1
]
[
X
n
Y
n
]
and
[
C
n
+
1
S
n
+
1
]
=
[
1
-
μ
(
n
)
2
-
n
μ
(
n
)
2
-
n
1
]
[
C
n
S
n
]
where the number of iterations, n, varies from 0 to N−1;
wherein X 0 is set to an in-phase component value of said electromagnetic wave, Y 0 is set to a quadrature component value of said electromagnetic wave, C 0 is set to a constant gain value K, S 0 is set to 0, and μ(n) is the sign of the electromagnetic wave and wherein said magnitude equals X N multiplied by said constant value K and Y N equals 0;
wherein X 0 is then set to said constant value K and Y 0 is set to 0; and
wherein said cos(Φ) equals X N multiplied by the sign of said in-phase component value and sin(Φ) equals Y N multiplied by the sign of said quadrature component value.
17. An apparatus as in claim 14 , wherein said output signal generator comprises plurality of segments.
18. An apparatus as in claim 17 , wherein one or more of said segments is independently controlled as a power amplifier to contribute power to an output signal.
19. An apparatus as in claim 18 , wherein said power is contributed to said output signal by using one or more selected from the group consisting of power transformers, quarter-wave transmission lines, discrete LC components, and a Pi-networks.
20. An apparatus as in claim 17 , wherein one or more of said segments is independently controlled as a current source to contribute current to an output signal.