Compressed sensing for navigation data
First Claim
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1. A method, comprising:
- sampling a positioning signal received at a receiver according to a sub-Nyquist sampling rate lower than a Nyquist sample rate for the positioning signal to obtain a compressed sampling, the positioning signal capable of being reconstructed from the compressed sampling to obtain an estimate of a position of the receiver; and
wherein within a given time period, the sub-Nyquist sampling rate corresponds to m number of samples and the Nyquist sampling rate corresponds n number of samples, m being proportional to log(n); and
storing the compressed sampling at a storage medium.
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Abstract
Methods, apparatuses, and systems are provided for processing positioning signals to obtain navigation information by applying compressed sensing.
12 Citations
42 Claims
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1. A method, comprising:
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sampling a positioning signal received at a receiver according to a sub-Nyquist sampling rate lower than a Nyquist sample rate for the positioning signal to obtain a compressed sampling, the positioning signal capable of being reconstructed from the compressed sampling to obtain an estimate of a position of the receiver; and wherein within a given time period, the sub-Nyquist sampling rate corresponds to m number of samples and the Nyquist sampling rate corresponds n number of samples, m being proportional to log(n); and storing the compressed sampling at a storage medium. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 30, 38, 39, 40)
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14. An apparatus, comprising:
a navigation enabled device, comprising; a receiver to receive one or more positioning signals; a storage medium for storing data; and a processor to; obtain a compressed sampling of a positioning signal received at the receiver according to a sub-Nyquist sampling rate lower than a Nyquist sample rate for the positioning signal, the positioning signal capable of being reconstructed from the compressed sampling to obtain an estimate of a position of the navigation enabled device; wherein within a given time period, the sub-Nyquist sampling rate corresponds to m number of samples and the Nyquist sampling rate corresponds n number of samples, m being proportional to log(n); and store the compressed sampling at the storage medium. - View Dependent Claims (15, 16, 17, 18, 19, 24, 25, 31)
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20. An apparatus, comprising:
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a storage medium having instructions stored thereon that are executable by a processor to; sample a positioning signal according to a sub-Nyquist sampling rate lower than a Nyquist sample rate for the positioning signal to obtain a compressed sampling, the positioning signal capable of being reconstructed from the compressed sampling to obtain an estimate of a geographic location represented by the positioning signal; wherein within a given time period, the sub-Nyquist sampling rate corresponds to m number of samples and the Nyquist sampling rate corresponds n number of samples, m being proportional to log(n); and store the compressed sampling at the storage medium. - View Dependent Claims (26, 27, 32, 41, 42)
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21. An apparatus, comprising:
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means for sampling a positioning signal according to a sub-Nyquist sampling rate lower than a Nyquist sample rate for the positioning signal to obtain a compressed sampling; wherein within a given time period, the sub-Nyquist sampling rate corresponds to m number of samples and the Nyquist sampling rate corresponds n number of samples, m being proportional to log(n); and means for initiating reconstruction of the positioning signal from the compressed sampling to obtain an estimate of a geographic location represented by the positioning signal. - View Dependent Claims (22, 23, 28, 29)
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33. An apparatus comprising:
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a processor to execute instructions; and a storage medium having instructions stored thereon that are executable by the processor to; obtain via a communication network, a media content item having a media component and a compressed sampling component, the compressed sampling component comprising a sub-Nyquist sampling of one or more positioning signals indicating a geographic location, the sub-Nyquist sampling obtained according to a sub-Nyquist sampling rate lower than a Nyquist sampling rate for the one or more positioning signals; wherein within a given time period, the sub-Nyquist sampling rate corresponds to m number of samples and the Nyquist sampling rate corresponds n number of samples, m being proportional to log(n); process the compressed sampling component to obtain the geographic location; and store the geographic location in association with the media component. - View Dependent Claims (34, 35)
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36. A method, comprising:
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obtain via a communication network, a media content item having a media component and a compressed sampling component, the compressed sampling component comprising a sub-Nyquist sampling of one or more positioning signals indicating a geographic location, the sub-Nyquist sampling obtained according to a sub-Nyquist sampling rate lower than a Nyquist sampling rate for the one or more positioning signals; wherein within a given time period, the sub-Nyquist sampling rate corresponds to m number of samples and the Nyquist sampling rate corresponds n number of samples, m being proportional to log(n); process the compressed sampling component to obtain the geographic location; and
store the geographic location in association with the media component. - View Dependent Claims (37)
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Specification