The USC Andrew and Erna Viterbi School of Engineering USC Signal and Image Processing Institute USC Ming Hsieh Department of Electrical Engineering University of Southern California

Technical Report USC-EE-386

“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.

To download the report in PDF format click here: USC-EE-386.pdf (3.3Mb)