Filter bank optimization for high-dimensional compression of pre-stack seismic data

A multi-dimensional variable-length subband coder for prestack seismic data was presented. A 2-D and 3-D separable near perfect reconstruction filter bank was optimized to maximize the coding gain, assuming that the correlation properties of pre-stack seismic data can be modeled by directional dependent autoregressive processes. Identical quantization and entropy coder allocation strategies were utilized to isolate the compression efficiency of the different high-dimensional filter bank methods. An example, with compression ratios ranging from 160:1 to 320:1, showed that 3-D subband coding of common shot gathers performed 50% better in terms of bit rate at a given signal-to-noise ratio compared to 2-D subband coding of common shot gathers.