| CPC G01V 3/32 (2013.01) [G01N 24/081 (2013.01)] | 20 Claims |

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1. A method comprising:
acquiring nuclear magnetic resonance (NMR) signal data indicating echo signals via an NMR logging tool in a borehole;
generating, based on the NMR signal data, a first vector in which each entry includes a spectrum coefficient associated with the echo signals;
generating a cumulative sum vector in which each entry includes a sum including a spectrum coefficient of a corresponding entry in the first vector plus any spectrum coefficients of any entries that precede the corresponding entry in the first vector;
down sampling the cumulative sum vector to form a down-sampled vector including a subset of the cumulative sum vector;
generating a compressed vector in which each entry includes a difference of a corresponding entry in the down sampled vector and any entry directly preceding the corresponding entry in the down sampled vector; and
transmitting the compressed vector up the borehole over a communication channel.
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