Methods, systems, and media for forming linear combinations of data
First Claim
1. A method for forming a linear combination of sensor data collected by a plurality of sensor devices including a first sensor device, a second sensor device and a third sensor device, comprising:
- receiving at the third sensor device a first codeword transmitted from the first sensor device, wherein the first codeword comprises a linear combination of at least a first data unit, comprising sensor data collected by the first sensor device, and a second data unit, comprising sensor data collected by the second sensor device and transmitted to the first sensor device, wherein the plurality of sensor devices is distributed across a geographical area in a peer-to-peer (P2P) sensor network and wherein each of the plurality of sensor devices in the P2P sensor network is configured for taking measurements of at least one of surrounding physical conditions;
encoding at the third sensor device the first codeword and a third data unit comprising sensor data collected by the third sensor device to form a second codeword, wherein the second codeword comprises a linear combination of at least the first data unit, the second data unit, and the third data unit; and
transmitting from the third sensor device the second codeword.
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Abstract
Methods, systems, and media for forming linear combinations of data are provided. In some embodiments, methods for forming a linear combination of data include: receiving at a device a first codeword, wherein the first codeword comprises a linear combination of at least a first data unit including data, and a second data unit including data; encoding at the device the first codeword and a third data unit including data to form a second codeword, wherein the second codeword includes a linear combination of at least the first data unit, the second data unit, and the third data unit; and transmitting from the device the second codeword.
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Citations
38 Claims
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1. A method for forming a linear combination of sensor data collected by a plurality of sensor devices including a first sensor device, a second sensor device and a third sensor device, comprising:
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receiving at the third sensor device a first codeword transmitted from the first sensor device, wherein the first codeword comprises a linear combination of at least a first data unit, comprising sensor data collected by the first sensor device, and a second data unit, comprising sensor data collected by the second sensor device and transmitted to the first sensor device, wherein the plurality of sensor devices is distributed across a geographical area in a peer-to-peer (P2P) sensor network and wherein each of the plurality of sensor devices in the P2P sensor network is configured for taking measurements of at least one of surrounding physical conditions; encoding at the third sensor device the first codeword and a third data unit comprising sensor data collected by the third sensor device to form a second codeword, wherein the second codeword comprises a linear combination of at least the first data unit, the second data unit, and the third data unit; and transmitting from the third sensor device the second codeword. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14)
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15. A system for forming a linear combination of sensor data, comprising:
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a plurality of sensor devices for collecting sensor data, wherein the plurality of sensor devices is distributed across a geographical area in a peer-to-peer (P2P) sensor network and includes a first sensor device, a second sensor device and a third sensor device and wherein each of the plurality of sensor devices in the P2P sensor network is configured for taking measurements of at least one of surrounding physical conditions, wherein the first sensor device; receives a first codeword transmitted from the second sensor device, wherein the first codeword comprises a linear combination of at least a first data unit, comprising sensor data collected by the second sensor device, and a second data unit, comprising sensor data collected by the third sensor device and transmitted to the second sensor device; encodes the first codeword and a third data unit, comprising sensor data collected by the first sensor device, to form a second codeword, wherein the second codeword comprises a linear combination of at least the first data unit, the second data unit, and the third data unit; and transmits the second codeword. - View Dependent Claims (16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27)
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28. A non-transitory computer-readable medium containing computer executable instructions that, when executed by a processor, cause the processor to perform a method for forming a linear combination of sensor data collected by a plurality of sensor devices including a first sensor device, a second sensor device and a third sensor device, the method comprising:
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receiving at the third sensor device a first codeword transmitted from athe first sensor device, wherein the first codeword comprises a linear combination of at least a first data unit, comprising sensor data collected by the first sensor device, and a second data unit, comprising sensor data collected by the second sensor device and transmitted to the first sensor device, wherein the plurality of sensor devices is distributed across a geographical area in a peer-to-peer (P2P) sensor network and wherein each of the plurality of sensor devices in the P2P sensor network is configured for taking measurements of at least one of surrounding physical conditions; encoding at the third sensor device the first codeword and a third data unit comprising sensor data collected by the third sensor device to form a second codeword, wherein the second codeword comprises a linear combination of at least the first data unit, the second data unit, and the third data unit; and transmitting from the third sensor device the second codeword. - View Dependent Claims (29, 30, 31, 32, 33, 34, 35, 36, 37, 38)
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Specification