Precision-resolution constrained coding scheme

A data device comprising:

• a processor;
• and
• a data transfer interface adapted to transfer data to and from a data channel;
• wherein the processor controls the transfer of data across the data transfer interface so the data device encodes an unconstrained sequence of input binary symbols into a representation according to an alphabet comprising allowable time intervals between adjacent input binary symbols according to a precision parameter p, a minimum resolution parameter α, and resolution restriction functions L(t) and R(t), thereby defining a precision-resolution (PR) constrained code, and modulates an output signal comprising a waveform having signal peaks corresponding to the representation and separated according to the PR-constrained code for transmission of the output signal over the data channel.

A system comprising:

• a data encoder;
• a transmitter/modulator;
• a receiver/detector;
• and
• a data decoder;
• wherein the data encoder encodes an unconstrained sequence of input binary symbols into a representation according to an alphabet comprising allowable time intervals between adjacent input binary symbols according to a precision parameter p, a minimum resolution parameter α, and resolution restriction functions L(t) and R(t), thereby defining a precision-resolution (PR) constrained code;
• wherein the transmitter/modulator modulates an output signal comprising a waveform having signal peaks corresponding to the representation and separated according to the PR-constrained code for transmission of the output signal over the data channel;
• and
• wherein the receiver/detector detects a modulated waveform having signal peaks that are separated according to the PR-constrained code and quantizes time intervals between the signal peaks so as to produce a representation in accordance with the representation alphabet;
• and
• wherein the decoder decodes the representation and produces the unconstrained sequence of input binary symbols.

A system comprising:

• a processor;
• and
• program data storage containing machine executable instructions comprising a set of processing rules that are performed by the processor to implement a data encoder that processes unconstrained data comprising a sequence of data bits and maps the unconstrained data onto a modulation coding scheme for encoding data comprising an unconstrained sequence of input binary symbols into a representation according to an alphabet comprising allowable time intervals between adjacent input binary symbols according to a precision parameters, a minimum resolution parameter α, and resolution restriction functions L(t) and R(t), thereby defining a precision-resolution (PR) constrained code, and modulating an output signal comprising a waveform having signal peaks corresponding to the representation and separated according to the PR-constrained code for transmission of the output signal over the data channel, and wherein the data storage further contains a set of processing rules performed by the processor to implement a data decoder that processes constrained data and detects a modulated waveform having signal peaks that are separated according to the PR-constrained code and quantizing time intervals between the signal peaks so as to produce a representation in accordance with the representation alphabet;
• and decodes the representation and producing the unconstrained sequence of input binary symbols.

A system comprising:

• a processor;
• and
• data storage containing machine executable instructions comprising a set of processing rules that are performed by the processor to implement a precision resolution (PR) coding scheme, wherein the executable instructions cause the processor to perform operations comprising:
• receiving channel specification parameters comprising transmitter precision parameter p and receiver resolution parameter α for transmission over a data channel in accordance with a target channel capacity and resolution restriction functions L(t) and R(t);
• producing combinations of precision and resolution specifications to achieve the target channel capacity;
• determining a set of allowable time intervals between modulation peaks for a set of data channel symbols;
• determining a translation scheme for encoding and decoding of binary symbols for transmission over the data channel.