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

A method, comprising:

• receiving a signal;
• sampling the signal to generate sampled values;
• correlating the sampled values with predetermined first and second templates of values obtained at a first frequency to generate a plurality of slices at the first frequency;
• transforming at least some of the generated plurality of slices at the first frequency to slices at a second frequency that is different from the first frequency;
• generating a first filter from the slices at the second frequency;
• transforming at least some of the generated plurality of slices at the first frequency to slices at a third frequency that is different from the first and second frequencies, and
• generating a second filter from the slices at the third frequency.

A method, comprising:

• receiving a signal, the signal encoding a data packet at a first frequency;
• quantizing the received signal to generate sampled values that are above or below a predetermined noise threshold;
• correlating the sampled values with first and second templates of values obtained at a second frequency that is different from the first frequency to generate a plurality of slices at the second frequency, each of the slices comprising a pair of values;
• transforming at least some of the plurality of slices at the second frequency to slices at the second frequency plus or minus an offset, and
• generating a filter having a center frequency at the second frequency plus or minus the offset by combining the transformed slices.