Multipath interference cancellation through cepstrum analysis
View Patent ↗A method and apparatus of mitigating multipath coupling interference in a wireless repeater system 10 includes measuring an error signal E(z) in a signal path of the repeater which contains the desired communication signals and the multipath coupling interference and determining a cepstrum c ee [n] of the error signal E(z), wherein the cepstrum c ee [n] is reflective of the open-loop gain G(z) of the system. The method further includes extracting the impulse response of the open-loop gain G(z) from the cepstrum c ee [n] of the error signal E(z), calculating a plurality of cancellation filter coefficients using the extracted impulse response, and adaptively applying the plurality of filter coefficients to an adjustable filter to generate the cancellation signal necessary to mitigate the multipath coupling interference.
1. A method of mitigating multipath coupling interference in a signal repeating system comprising:
measuring an error signal in a signal path of the signal repeating system wherein the error signal contains desired communication signals and multipath coupling interference signals;
determining a cepstrum of the error signal, wherein the cepstrum is reflective of an open-loop gain of the signal repeating system;
extracting an impulse response of the open-loop gain from the cepstrum of the error signal;
calculating a plurality of cancellation filter coefficients using the extracted impulse response of the open-loop gain; and
adaptively applying the plurality of cancellation filter coefficients to an adjustable filter to generate a cancellation signal to mitigate the multipath coupling interference.
2. The method of claim 1 further comprising deconvolving the open-loop gain with the channel filter response and calculating a plurality of cancellation filter coefficients.
3. The method of claim 1 , wherein determining the cepstrum of the error signal comprises:
computing a power spectral density of the error signal;
computing a log spectrum of the power spectral density; and
computing the cepstrum by applying an inverse Fourier transform to the log spectrum.
4. The method of claim 3 , wherein computing the power spectral density of the error signal includes applying a fast Fourier transform (FFT) to the error signal.
5. The method of claim 4 , wherein computing the power spectral density of the error signal further includes implementing a scaled version of a Welch Periodogram method.
6. The method of claim 3 , wherein computing the log spectrum of the power spectral density includes taking the natural log of the power spectral density.
7. The method of claim 3 , wherein the inverse Fourier transform applied to the log spectrum is an inverse fast Fourier transform.
8. The method of claim 1 , wherein the impulse response of the open-loop gain is extracted from a non-zero range of time values of the cepstrum of the error signal.
9. The method in claim 1 , wherein the signal path includes at least one of a CDMA signal, a UMTS signal, an LTE signal, a GSM signal, a WiMax signal, or combinations thereof.
10. An apparatus comprising:
an adjustable filter; and
processing circuitry configured to:
measure an error signal in a signal path of a signal repeating system which contains desired communication signals and multipath coupling interference signals;
determine a cepstrum of the error signal that is reflective of an open-loop gain of the signal repeating system;
extract an impulse response of the open-loop gain from the cepstrum of the error signal;
calculate a plurality of cancellation filter coefficients using the extracted impulse response of the open-loop gain; and
adaptively apply the plurality of cancellation filter coefficients to the adjustable filter to generate a cancellation signal to mitigate the multipath coupling interference.
11. The apparatus of claim 10 , wherein the processing circuitry is further configured to deconvolve the open-loop gain with the channel filter response and calculate a plurality of cancellation filter coefficients.
12. The apparatus of claim 10 , wherein the processing circuitry is further configured to determine a cepstrum that is reflective of the open-loop gain of the system by computing a power spectral density of the error signal, computing a log spectrum of the power spectral density, and computing the cepstrum by applying an inverse Fourier transform to the log spectrum.
13. The apparatus of claim 12 , wherein the processing circuitry is further configured to compute the power spectral density of the error signal by applying a fast Fourier transform (FFT) to the error signal.
14. The apparatus of claim 13 , wherein computing the power spectral density of the error signal includes implementing a scaled version of a Welch Periodogram method.
15. The apparatus of claim 12 , wherein computing the log spectrum of the power spectral density includes taking the natural log of the power spectral density.
16. The apparatus of claim 12 , wherein the inverse Fourier transform applied to the log spectrum is an inverse fast Fourier transform.
17. The apparatus of claim 10 wherein the impulse response of the open-loop gain is extracted from a non-zero range of time values of the cepstrum of the error signal.
18. The apparatus of claim 10 , wherein the signal path includes at least one of a CDMA signal, a UMTS signal, an LTE signal, a GSM signal, a WiMax signal, or combinations thereof.
19. The apparatus of claim 10 , wherein the apparatus is a signal repeating system.
20. The apparatus of claim 19 , wherein the signal repeating system is one of a repeater or a distributed antenna system.