Patent ID: 8024121

Claim:
A method for logging a subterranean borehole, the method comprising: (a) acquiring a pixilated trace of sensor data, the pixilated trace including a plurality of borehole parameter values at a corresponding plurality of discrete tool face angles; (b) causing the downhole processor to apply a non-orthogonal, KLT-like transform to the pixilated trace to obtain transform coefficients, wherein the transform satisfies the following equation: H I diag[α,β,α,β] H F =I wherein H F represents the transform, H I represents an inverse transform, I represents a mathematical identity matrix, and diag[α,β,α,β] represents a diagonal matrix having scaling factors α and β; (c) causing the downhole processor to quantize the transform coefficients to obtain quantized coefficients; (d) transmitting the quantized coefficients uphole.