LOSSLESS COMPRESSION OF SEISMIC SIGNALS USING DIFFERENTIATION

For some classes of signals, particularly those dominated by low frequ ency components, such as seismic data, first and higher order differen ces between adjacent signal samples are generally smaller compared wit h the signal samples, In this paper, evaluating the differencing appro ach for losslessly compressing several classes of seismic signals is g iven, Three different approaches employing derivatives are developed a nd applied, The performance of the techniques presented here and the a daptive linear predictor are evaluated and compared for the lossless c ompression of different seismic signal classes. The proposed different iator approach yields comparable residual energy compared with that ob tained employing the linear predictor technique, The two main advantag es of the differentiation method are: 1) the coefficients are fixed in tegers which do not have to be encoded; and 2) greatly reduced computa tional complexity, relative to the existing algorithms, These advantag es are particularly attractive for real time processing, They have bee n confirmed experimentally by compressing different seismic signals, S ample results including the compression ratio, i.e., the ratio of the number of bits per sample without compression to those with compressio n using arithmetically encoded residues are also given.