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Methods, devices and systems for receiving and decoding a signal in the presence of noise using slices and warping

  • US 10,498,572 B2
  • Filed: 09/05/2018
  • Issued: 12/03/2019
  • Est. Priority Date: 09/20/2013
  • Status: Active Grant
First Claim
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1. A method for decoding a signal, the method comprising:

  • sampling a signal with an analog to digital converter over a time interval to generate a set of samples;

    multiplying the set of samples by a set of values representative of a first reference function at a first frequency and a first phase to generate a first set of first values;

    multiplying the set of samples by a set of values representative of a second reference function at the first frequency and the first phase to generate a first set of second values, wherein the second reference function is different from the first reference function;

    combining the first set of first values to generate a first component of a first slice;

    combining the first set of second values to generate a second component of the first slice;

    multiplying the set of samples by a set of values representative of the first reference function at a second frequency and a second phase to generate a second set of first values, wherein the second frequency and the second phase is different from the first frequency and the first phase, and wherein the second set of first values is different from first set of first values;

    multiplying the set of samples by a set of values representative of the second reference function at the second frequency and the second phase to generate a second set of second values;

    combining the second set of first values to generate a first component of a second slice;

    combining the second set of second values to generate a second component of the second slice;

    sampling the signal with the analog to digital converter over a new time interval to generate a new set of samples; and

    repeating multiplying and combining for the new set of samples and generating a set of first slices comprising the first slice and a set of second slices comprising the second slice.

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