Method for compensation for any phase and/or amplitude error in a receiver
View Patent ↗The invention relates to a method for compensation for any phase and/or amplitude error in a receiver having a complex processing branch and a complex-conjugate processing branch, wherein an error-compensated complex signal component is determined by subtraction of a complex-conjugate signal component and to which a correction parameter is applied, from a complex signal component. The correction parameter is determined on the basis of a function of a quotient of the complex signal component and the complex-conjugate signal component.
1. A method for compensation for a phase error, or an amplitude error, or both a phase error and an amplitude error, in a receiver having a complex signal processing branch and a complex-conjugate signal processing branch, comprising:
determining, using a determination element, an error-compensated complex signal component based on a difference between a complex signal component which is subject to an error and a complex-conjugate signal component which is subject to an error that is modified by a correction parameter; and
estimating, using an estimation element, the correction parameter prior to the modification as a function of a quotient of the complex signal component and the complex-conjugate signal component,
wherein before the formation of a quotient for estimation of the correction parameter, the method further comprises combining or averaging a plurality of values of the complex signal component or a plurality of values of the complex-conjugate signal component to form in each case one term.
2. The method of claim 1 , wherein an error-compensated complex-conjugate signal component is determined based on a difference between a complex-conjugate signal component which is subject to an error and a complex-signal component which is subject to an error that is modified by a complex-conjugate correction parameter.
3. The method of claim 2 , wherein the error-compensated complex signal component, or the error-compensated complex-conjugate signal component, or both, are calculated in a digital signal processing section of the complex and complex-conjugate signal processing branches of the receiver.
4. A method for compensation for a phase error, or an amplitude error, or both a phase error and an amplitude error, in a receiver having I and Q signal processing branches, comprising:
determining, using a determination element, an error-compensated I signal component based on a difference between a Q signal component which is subject to an error that is modified by a correction parameter w, and an I-signal component which is subject to an error; and
determining the correction parameter w using the equation:
w
=
E
(
z
k
,
imb
z
k
,
imb
*
)
or an approximation thereof, wherein E is an expected value, Z k,imb is a value of the I signal component at a discrete time k, and z k,imb * is a value of the Q signal component at the discrete time k, and wherein z k,imb and z k,imb * are complex values.
5. The method of claim 4 , further comprising determining an error-compensated Q signal component based on a difference between the I signal component that is modified by a complex-conjugate correction parameter, and the Q signal component which is subject to an error.
6. The method of claim 4 , wherein the correction parameter w is determined using the equation:
w
=
E
(
a
k
-
b
k
+
ⅈ
·
γ
·
2
·
a
k
·
b
k
a
k
+
b
k
)
and wherein z k,imb =a k i+b k and z k,imb *=a k −i·b k , and γ is a variable parameter, and wherein i is the imaginary number representation.
7. A method for compensation for a phase error, or an amplitude error, or both a phase error and an amplitude error, in a receiver having I and Q signal processing branches, comprising:
determining, using a determination element, an error-compensated I signal component based on a difference between a Q signal component which is subject to an error and is modified by a correction parameter w, and an I-signal component which is subject to an error; and
determining the correction parameter based on real and imaginary components of the I and Q signal components:
wherein the correction parameter w is determined using the equation:
w
=
α
·
E
(
a
k
2
-
b
k
2
)
+
ⅈ
·
β
·
E
(
a
k
·
b
k
)
E
(
a
k
2
+
b
k
2
)
or an approximation thereof, wherein E is an expected value, a k and b k are the real and imaginary values, respectively, of the I signal component at a discrete time k, and α and β are variable parameters, and wherein i is the imaginary number representation.
8. The method according to claim 7 , wherein the correction parameter w is determined using the equation:
w
=
ⅈ
·
β
·
E
(
a
k
·
b
k
)
E
(
a
k
2
+
b
k
2
)
,
wherein E is an expected value, a k and b k are the real and imaginary values, respectively, of the I signal component at a discrete time k, wherein β is a variable parameter, and wherein i is the imaginary number representation.
9. A method for compensation for a phase error, or an amplitude error, or both a phase error and an amplitude error, in a receiver having I and Q signal processing branches, comprising:
determining, using a determination element, an error-compensated I signal component by subtracting a Q signal component which is subject to an error and that is modified by a correction parameter w from an I-signal component which is subject to an error; and
determining the correction parameter based on real and imaginary components of the I or Q signal components, or both;
wherein the correction parameter w is determined by:
w
=
μ
·
E
(
a
k
-
b
k
)
+
E
(
ⅈ
·
ν
·
2
·
a
k
·
b
k
)
2
·
E
(
a
k
+
b
k
)
or an approximation thereof, wherein E is an expected value, a k and b k are values of the I and Q signal components, respectively, at a discrete time k, and μ and ν are variable parameters, and wherein i is the imaginary number representation.
10. The method of claim 9 , wherein the correction parameter w is determined using the equation:
w
=
E
(
ⅈ
·
ν
·
a
k
·
b
k
)
E
(
a
k
+
b
k
)
,
wherein E is an expected value, a k and b k are values of the I and Q signal components, respectively, at a discrete time k, and wherein ν is a variable parameter, and wherein i is the imaginary number representation.
11. A receiver, comprising:
a complex signal processing branch;
a complex-conjugate signal processing branch; and
a calculation unit configured to determine an error-compensated complex signal component based on a difference between a complex-conjugate signal component which is subject to an error and that is modified by a correction parameter, and a complex signal component which is subject to an error, and further configured to estimate the correction parameter as a function of a quotient of the complex signal component and the complex-conjugate signal component,
wherein before the formation of a quotient for estimation of the correction parameter, the calculation unit is configured to combine or average a plurality of values of the complex signal component or a plurality of values of the complex-conjugate signal component, or both, to form in each case one term.
12. The receiver of claim 11 , wherein the calculation unit is further configured to determine an error-compensated complex-conjugate signal component based on a difference between a complex signal component which is subject to an error and modified by a complex-conjugate correction parameter, and a complex-conjugate signal component which is subject to an error.
13. The receiver of claim 11 , wherein the calculation unit comprises a digital signal processor.
14. A receiver, comprising:
an I signal processing branch;
a Q signal processing branch; and
a calculation unit configured to determine an error-compensated I signal component based on a difference between a Q signal component which is subject to an error that is modified by a correction parameter, and an I signal component which is subject to an error, and further configured to determine a correction parameter w using the equation:
w
=
E
(
z
k
,
imb
z
k
,
imb
*
)
or an approximation thereof, wherein E is an expected value, z k,imb is a value of the I signal component at a discrete time k, and z k,imb * is a value of the Q signal component at the discrete time k, and wherein z k,imb and z k,imb * are complex values.
15. The receiver of claim 14 , wherein the calculation unit is further configured to determine an error-compensated Q signal component based on a difference between the I signal component that is modified by a complex-conjugate correction parameter, and the Q signal component.
16. The receiver of claim 14 , wherein the calculation unit is configured to determine the correction parameter w using the equation:
w
=
E
(
a
k
-
b
k
+
ⅈ
·
γ
·
2
·
a
k
·
b
k
a
k
+
b
k
)
,
and wherein z k,imb =a k +i·b k and z k,imb *=a k −i·b k and γ is a variable parameter, and wherein i is the imaginary number representation.
17. A receiver, comprising:
an I signal processing branch;
a Q signal processing branch; and
a calculation unit configured to determine an error-compensated I signal component by subtraction of a Q signal component which is subject to an error and to which a correction parameter w is applied, from an I signal component which is subject to an error, and further configured to determine the correction parameter w using real and imaginary components of the I or Q signal components, or both;
wherein the calculation unit is configured to determine the correction parameter according to the equation:
w
=
α
·
E
(
a
k
2
-
b
k
2
)
+
ⅈ
·
β
·
E
(
a
k
·
b
k
)
E
(
a
k
2
+
b
k
2
)
or an approximation thereof, wherein E is an expected value, z k,imb =a k +i·b k is a value of the I signal component at a discrete time k, z k,imb *=a k −i·b k is a value of the Q signal component at the discrete time k, and α and β are variable parameters, and wherein i is the imaginary number representation.
18. The receiver of claim 17 , wherein the calculation unit is further configured to determine the correction parameter w using the equation:
w
=
ⅈ
·
β
·
E
(
a
k
·
b
k
)
E
(
a
k
2
+
b
k
2
)
,
wherein β is a variable parameter, and wherein i is the imaginary number representation.
19. The receiver of claim 17 , wherein the calculation unit is further configured to determine the correction parameter using the equation:
w
=
μ
·
E
(
a
k
-
b
k
)
+
E
(
ⅈ
·
ν
·
2
·
a
k
·
b
k
)
2
·
E
(
a
k
+
b
k
)
or an approximation thereof, wherein E is an expected value, z k,imb =a k +i·b k is a value of the I signal component, which is subject to an error, at a discrete time k, z k,imb *=a k −i·b k is a value of the Q signal component, which is subject to an error, at the discrete time k, and μ and ν are variable parameters, and wherein i is the imaginary number representation.
20. The receiver of claim 17 , wherein the calculation unit is configured to determine the correction parameter w using the equation:
w
=
E
(
ⅈ
·
ν
·
a
k
·
b
k
)
E
(
a
k
+
b
k
)
,
wherein E is an expected value, z k,imb =a k +i·b k is a value of the I signal component, which is subject to an error, at a discrete time k, z k,imb *=a k −i·b k is a value of the Q signal component, which is subject to an error, at the discrete time k, wherein ν is a variable parameter, and wherein i is the imaginary number representation.
21. A method for compensation for a phase error, or an amplitude error, or both a phase error and an amplitude error, in a receiver having I and Q signal processing branches, comprising:
determining, using a determination element, an error-compensated I signal component based on a difference between a Q signal component which is subject to an error and is modified by a correction parameter w, and an I-signal component which is subject to an error; and
determining the correction parameter based on real and imaginary components of the I and Q signal components;
wherein the correction parameter w is determined using the equation:
w
=
i
·
β
·
E
(
a
k
·
b
k
)
E
(
a
k
2
+
b
k
2
)
,
wherein E is an expected value, a k and b k are the real and imaginary values.
22. A method for compensation for a phase error, or an amplitude error, or both a phase error and an amplitude error, in a receiver having I and Q signal processing branches, comprising:
determining, using a determination element, an error-compensated I signal component by subtracting a Q signal component which is subject to an error and that is modified by a correction parameter w from an I-signal component which is subject to an error; and
determining the correction parameter based on real and imaginary components of the I or Q signal components, or both;
wherein the correction parameter w is determined using the equation:
w
=
E
(
i
·
v
·
a
k
·
b
k
)
E
(
a
k
+
b
k
)
,
wherein E is an expected value, a k and b k are values of the I and Q signal components, respectively, at a discrete time k, and wherein ν is a variable parameter, and wherein i is the imaginary number representation.
23. A receiver, comprising:
an I signal processing branch;
a Q signal processing branch; and
a calculation unit configured to determine an error-compensated I signal component by subtraction of a Q signal component which is subject to an error and to which a correction parameter w is applied, from an I signal component which is subject to an error, and further configured to determine the correction parameter w using real and imaginary components of the I or Q signal components, or both;
wherein the calculation unit is further configured to determine the correction parameter w using the equation:
w
=
i
·
β
·
E
(
a
k
·
b
k
)
E
(
a
k
2
+
b
k
2
)
,
wherein β is a variable parameter, and wherein i is the imaginary number representation.
24. A receiver, comprising:
an I signal processing branch;
a Q signal processing branch; and
a calculation unit configured to determine an error-compensated I signal component by subtraction of a Q signal component which is subject to an error and to which a correction parameter w is applied, from an I signal component which is subject to an error, and further configured to determine the correction parameter w using real and imaginary components of the I or Q signal components, or both;
wherein the calculation unit is further configured to determine the correction parameter using the equation:
w
=
μ
·
E
(
a
k
-
b
k
)
+
E
(
i
·
v
·
2
·
a
k
·
b
k
)
2
·
E
(
a
k
+
b
k
)
or an approximation thereof, wherein E is an expected value, z k,imb=a k +i·b k is a value of the I signal component, which is subject to an error, at a discrete time k, z k,imb *=a k −i·b k is a value of the Q signal component, which is subject to an error, at the discrete time k, and μ and ν are variable parameters, and wherein i is the imaginary number representation.
25. A receiver, comprising:
an I signal processing branch;
a Q signal processing branch; and
a calculation unit configured to determine an error-compensated I signal component by subtraction of a Q signal component which is subject to an error and to which a correction parameter w is applied, from an I signal component which is subject to an error, and further configured to determine the correction parameter w using real and imaginary components of the I or Q signal components, or both;
wherein the calculation unit is configured to determine the correction parameter w using the equation:
w
=
E
(
i
·
v
·
a
k
·
b
k
)
E
(
a
k
+
b
k
)
,
wherein E is an expected value, z k,imb =a k +i·b k is a value of the I signal component, which is subject to an error, at a discrete time k, z k,imb *=a k −i·b k is a value of the Q signal component, which is subject to an error, at the discrete time k, wherein ν is a variable parameter, and wherein i is the imaginary number representation.