Lossless compression of seismic signals using least square, frequency domain pole-zero modeling

A technique for lossless compression of seismic signals is proposed. The algorithm employed is based on the equation-error structure which approximates the signal by minimizing the error in the least square sense, as a rational function, or equivalently as an auto-regressive moving-average (ARMA) process. The algorithm is implemented in the frequency domain. The performance of the proposed technique is compared to the lossless linear predictor and the lossless differentiator methods for compressing seismic signals. The approach presented here is shown to have excellent performance and compares favorably with existing techniques.