Method and system for determining a number of load coils in a transmission line
View Patent ↗A method and system for determining a number of load coils in a transmission line are provided. An impulse response of the transmission line is calculated from a characteristic impedance of the transmission line. A number of complex conjugate pole pairs of a transfer function of the impulse response is then determined. Thereby, the number of load coils in the transmission line, which is equal to the number of complex conjugate pole pairs, is determined.
1. A method of determining a number of load coils in a transmission line having a characteristic impedance, the method comprising:
calculating, using a processing unit, an impulse response of the transmission line from the characteristic impedance of the transmission line; and
determining, using a processing unit, a number of complex conjugate pole pairs of a transfer function of the impulse response to thereby determine the number of load coils in the transmission line, wherein the number of complex conjugate pole pairs is equal to the number of load coils, by:
finding the transfer function by applying a parametric modeling technique to the impulse response; and
finding poles of the transfer function by using a root-finding algorithm, wherein the poles of the transfer function are greater in number than two times an expected number of load coils in the transmission line.
2. The method of claim 1 , further comprising:
measuring the characteristic impedance of the transmission line.
3. The method of claim 1 , wherein calculating the impulse response includes performing an inverse Fourier transform on the characteristic impedance.
4. The method of claim 1 , wherein the parametric modeling technique is the Prony method.
5. A method of determining a number of load coils in a transmission line having a characteristic impedance, the method comprising:
calculating, using a processing unit, an impulse response of the transmission line from the characteristic impedance of the transmission line; and
determining, using a processing unit, a number of complex conjugate pole pairs of a transfer function of the impulse response to thereby determine the number of load coils in the transmission line, wherein the number of complex conjugate pole pairs is equal to the number of load coils, by:
finding the transfer function by applying a parametric modeling technique to the impulse response;
finding poles of the transfer function by using a root-finding algorithm;
identifying complex poles among the poles of the transfer function;
identifying complex conjugate pole pairs among the complex poles; and
counting the complex conjugate pole pairs.
6. The method of claim 5 , further comprising:
measuring the characteristic impedance of the transmission line.
7. The method of claim 5 , wherein calculating the impulse response includes performing an inverse Fourier transform on the characteristic impedance.
8. The method of claim 5 , wherein the parametric modeling technique is the Prony method.
9. A system for determining a number of load coils in a transmission line having a characteristic impedance, the system comprising:
a processing unit for calculating an impulse response of the transmission line from the characteristic impedance of the transmission line; and for determining a number of complex conjugate pole pairs of a transfer function of the impulse response to thereby determine the number of load coils in the transmission line, wherein the number of complex conjugate pole pairs is equal to the number of load coils, by:
finding the transfer function by applying a parametric modeling technique to the impulse response; and
finding poles of the transfer function by using a root-finding algorithm, wherein the poles of the transfer function are greater in number than two times an expected number of load coils in the transmission line.
10. The system of claim 9 , further comprising:
a measurement unit for measuring the characteristic impedance of the transmission line.
11. The system of claim 10 , wherein the system is a portable test device.
12. The system of claim 9 , wherein calculating the impulse response includes performing an inverse Fourier transform on the characteristic impedance.
13. The system of claim 9 , wherein the parametric modeling technique is the Prony method.
14. A system for determining a number of load coils in a transmission line having a characteristic impedance, the system comprising:
a processing unit for calculating an impulse response of the transmission line from the characteristic impedance of the transmission line; and for determining a number of complex conjugate pole pairs of a transfer function of the impulse response to thereby determine the number of load coils in the transmission line, wherein the number of complex conjugate pole pairs is equal to the number of load coils, by:
finding the transfer function by applying a parametric modeling technique to the impulse response;
finding poles of the transfer function by using a root-finding algorithm;
identifying complex poles among the poles of the transfer function;
identifying complex conjugate pole pairs among the complex poles; and
counting the complex conjugate pole pairs.
15. The system of claim 14 , further comprising:
a measurement unit for measuring the characteristic impedance of the transmission line.
16. The system of claim 15 , wherein the system is a portable test device.
17. The system of claim 14 , wherein calculating the impulse response includes performing an inverse Fourier transform on the characteristic impedance.
18. The system of claim 14 , wherein the parametric modeling technique is the Prony method.