The USC Andrew and Erna Viterbi School of Engineering USC Signal and Image Processing Institute USC Ming Hsieh Department of Electrical and Computer 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)