Characterization of radio frequency (RF) signals using wavelet-based parameter extraction
First Claim
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1. A method, comprising:
- applying a discrete Haar wavelet or a discrete Morlet wavelet to a radio frequency (RF) signal under test;
extracting at least one timing parameter from the RF signal using a wavelet transform of the RF signal, wherein the timing parameter includes a clock period of the RF signal; and
presenting the clock period of the RF signal as a result of extracting the at least one timing parameter to characterize the RF signal.
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Abstract
Embodiments of the present invention apply wavelets to radio frequency (RF) signals to extract specific characteristics (e.g., jitter, phase variations, frequency variations) so that their timing, phase, and frequency components can be characterized. In one embodiment of the present invention, a Haar wavelet is used to extract timing characteristics. In another embodiment, a Morlet wavelet is used to extract phase characteristics. In still another embodiment, a Morlet wavelet is used to extract frequency characteristics.
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Citations
30 Claims
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1. A method, comprising:
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applying a discrete Haar wavelet or a discrete Morlet wavelet to a radio frequency (RF) signal under test; extracting at least one timing parameter from the RF signal using a wavelet transform of the RF signal, wherein the timing parameter includes a clock period of the RF signal; and presenting the clock period of the RF signal as a result of extracting the at least one timing parameter to characterize the RF signal. - View Dependent Claims (2, 3, 4, 5)
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6. A method, comprising:
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computing scale level 1 coefficients as pairwise differences of samples of a radio frequency (RF) signal; computing scale level 1 coefficients as pairwise averages of the samples; searching for a local maxima and a local minima of the scale level 1 coefficients; computing time coordinates for the local maxima and minima of the scale level 1 coefficients; computing scale level 2 coefficients as pairwise differences of the scale level 1 averages; searching for local maxima and minima of the scale level 2 coefficients; computing time coordinates for the local maxima and minima of the scale level 2 coefficients; and presenting the time coordinates for the local maxima and minima of the scale level 2 coefficients to characterize the RF signal. - View Dependent Claims (7, 8, 9, 10, 11, 12)
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13. A method, comprising:
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computing scale level 1 coefficients samples of a radio frequency (RF) signal; searching for local maxima and minima of the scale level 1 coefficients; computing time coordinates for the local maxima and minima of the scale level 1 coefficients; performing a polynomial best-fit function on the local maxima; performing a polynomial best-fit function on the local maxima; and presenting the time coordinates for the local maxima and minima of the scale level 1 coefficients to characterize the RF signal. - View Dependent Claims (14, 15)
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16. A system, comprising:
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a radio frequency (RF) signal source coupled to emit an RF signal; and a discrete Haar wavelet tool or a discrete Morlet wavelet tool coupled to apply a wavelet to the RF signal to extract a timing parameter from the RF signal using a wavelet transform of the RF signal, wherein the timing parameter includes a clock period of the RF signal. - View Dependent Claims (17, 18)
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19. An article of manufacture, comprising:
a machine-accessible medium including data that, when accessed by a machine, cause the machine to perform the operations comprising; applying a discrete Haar wavelet or a discrete Morlet wavelet to a radio frequency (RF) signal under test; extracting at least one timing parameter from the RF signal using a wavelet transform of the RF signal, wherein the timing parameter includes a clock period of the RF signal; and presenting the at least one timing parameter to characterize the RF signal. - View Dependent Claims (20, 21, 22)
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23. An article of manufacture, comprising:
a machine-accessible medium including data that, when accessed by a machine, cause the machine to perform the operations comprising; computing scale level 1 coefficients as pairwise differences of samples of a radio frequency (RF) signal; computing scale level 1 coefficients as pairwise averages of the samples; searching for a local maxima and a local minima of the scale level 1 coefficients; computing time coordinates for the local maxima and minima of the scale level 1 coefficients; computing scale level 2 coefficients as pairwise differences of the scale level 1 averages; searching for local maxima and minima of the scale level 2 coefficients; computing time coordinates for the local maxima and minima of the scale level 2 coefficients; and presenting the time coordinates for the local maxima and minima of the scale level 1 coefficients to characterize the RF signal. - View Dependent Claims (24, 25)
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26. An article of manufacture, comprising:
a machine-accessible medium including data that, when accessed by a machine, cause the machine to perform the operations comprising; computing scale level 1 coefficients samples of a radio frequency (RF) signal; searching for local maxima and minima of the scale level 1 coefficients; computing time coordinates for the local maxima and minima of the scale level 1 coefficients; performing a polynomial best-fit function on the local maxima; and performing a polynomial best-fit function on the local maxima; and presenting the time coordinates for the local maxima and minima of the scale level 1 coefficients to characterize the RF signal. - View Dependent Claims (27, 28)
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29. A method, comprising:
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applying a wavelet to a radio frequency (RF) signal under test; extracting at least one timing parameter from the RF signal using a wavelet transform of the RF signal, wherein the timing parameter includes a clock period of the RF signal; extracting at least one phase parameter from the RF signal, wherein the phase parameter comprises a phase discontinuity; and presenting the clock period of the RF signal as a result of extracting the at least one timing parameter to characterize the RF signal. - View Dependent Claims (30)
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Specification