Communication applications

An apparatus, comprising:

• a sensor to receive a propagation signal as an acoustic signal propagated in drilling fluid or as an electrical signal propagated in a geological formation;
• a digital pulse position demodulator to extract transformed data and a checksum from the propagated signal;
• and
• a descrambler module to transform the transformed data into an estimated version of acquired data using a transform defined by a seed value validated by the checksum.

A computer-implemented method, comprising:

• transforming larger values of acquired data into smaller values of transformed data using a transform defined by a seed value selected to reduce digital pulse position modulation transmission time for the acquired data;
• digital pulse position modulating the transformed data and a checksum associated with the transformed data to provide a propagation signal;
• and
• transmitting the propagation signal into drilling fluid or a geological formation.

A computer-implemented method, comprising:

• receiving a propagation signal as an acoustic signal propagated in drilling fluid or as an electrical signal propagated in a geological formation;
• demodulating the propagation signal to extract transformed data and a checksum;
• and
• transforming the transformed data into an estimate of acquired data, using a transform defined by a seed value validated by the checksum.