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“Orthogonal Decomposition and Seismic Arrays”
by Julius Kane, Harry Andrews, and William K. Pratt
November 1969
Non-trigonometric orthogonal systems were investigated with particular regard to seismic applications and computer implementation. Most emphasis was given to systems of functions which assume only the binary values +1 and -1, and in particular, the Walsh functions. Algorithms for their efficient machine generation were devised and applied to the problem of data reduction. Compression rations of 6:1 are easily obtained, and much higher ratios are possible with more refined techniques (error-correcting codes, etc.). Applications are given to block quantized data.