A method for receiving an encoded integer includes acquiring a digitized waveform including a first plurality of pulses distributed among a second plurality of time slots, locating each of the pulses in the digitized waveform, computing a confidence value for each of the pulses, selecting a subset of the plurality of pulses, the subset including pulses having low confidence values computed, generating a set of unique waveforms corresponding to various combinations of the subset of pulses selected, computing a cross-correlation between each of the waveforms generated and the digitized waveform acquired, and selecting the waveform having the highest cross-correlation computed.

A method for receiving an encoded integer includes acquiring a digitized waveform including a first plurality of pulses distributed among a second plurality of time slots, locating each of the pulses in the digitized waveform, computing a confidence value for each of the pulses, selecting a subset of the plurality of pulses, the subset including pulses having low confidence values computed, generating a set of unique waveforms corresponding to various combinations of the subset of pulses selected, computing a cross-correlation between each of the waveforms generated and the digitized waveform acquired, and selecting the waveform having the highest cross-correlation computed.

A method for variable length decoding, the method including: receiving, in a default word length mode, at least one first data word having a default first word length; combining the received at least one first data word as a first portion of data; receiving, after the at least one first data word, a transition word indicative of transitioning to a variable word length mode; receiving, after the transition word, a first word length word indicative of a second word length; receiving, after the first word length word, at least one second data word having the second word length; and combining the received at least one second data word as a second portion of the data.

A method for variable length decoding, the method including: receiving, in a default word length mode, at least one first data word having a default first word length; combining the received at least one first data word as a first portion of data; receiving, after the at least one first data word, a transition word indicative of transitioning to a variable word length mode; receiving, after the transition word, a first word length word indicative of a second word length; receiving, after the first word length word, at least one second data word having the second word length; and combining the received at least one second data word as a second portion of the data.

A method for variable length decoding, the method including: receiving, in a default word length mode, at least one first data word having a default first word length; combining the received at least one first data word as a first portion of data; receiving, after the at least one first data word, a transition word indicative of transitioning to a variable word length mode; receiving, after the transition word, a first word length word indicative of a second word length; receiving, after the first word length word, at least one second data word having the second word length; and combining the received at least one second data word as a second portion of the data.

A method for variable length decoding, the method including: receiving, in a default word length mode, at least one first data word having a default first word length; combining the received at least one first data word as a first portion of data; receiving, after the at least one first data word, a transition word indicative of transitioning to a variable word length mode; receiving, after the transition word, a first word length word indicative of a second word length; receiving, after the first word length word, at least one second data word having the second word length; and combining the received at least one second data word as a second portion of the data.

A system including: at least one processor; and at least one memory, having stored thereon computer program code that, when executed by the at least one processor, controls the at least one processor to: receive a first sequence of values; segment the first sequence of values into a first subsequence having a first length and a second subsequence having a second length; modify the first subsequence by inserting one or more values into the first subsequence to create a modified first subsequence of a third length; modify the second subsequence by one or more inserting values into the second subsequence to create a modified second subsequence of the third length; combine the modified first subsequence and the modified second subsequence to create a second sequence of values; and output the second sequence of values.

A system including: at least one processor; and at least one memory, having stored thereon computer program code that, when executed by the at least one processor, controls the at least one processor to: receive a first sequence of values; segment the first sequence of values into a first subsequence having a first length and a second subsequence having a second length; modify the first subsequence by inserting one or more values into the first subsequence to create a modified first subsequence of a third length; modify the second subsequence by one or more inserting values into the second subsequence to create a modified second subsequence of the third length; combine the modified first subsequence and the modified second subsequence to create a second sequence of values; and output the second sequence of values.

A method for variable length decoding, the method including: receiving, in a default word length mode, at least one first data word having a default first word length; combining the received at least one first data word as a first portion of data; receiving, after the at least one first data word, a transition word indicative of transitioning to a variable word length mode; receiving, after the transition word, a first word length word indicative of a second word length; receiving, after the first word length word, at least one second data word having the second word length; and combining the received at least one second data word as a second portion of the data.

A method for variable length decoding, the method including: receiving, in a default word length mode, at least one first data word having a default first word length; combining the received at least one first data word as a first portion of data; receiving, after the at least one first data word, a transition word indicative of transitioning to a variable word length mode; receiving, after the transition word, a first word length word indicative of a second word length; receiving, after the first word length word, at least one second data word having the second word length; and combining the received at least one second data word as a second portion of the data.