Showing papers on "Hadamard code published in 1970"
TL;DR: The matrix form of the Walsh functions as defined in the above-mentioned short note can be generated by the modulo-2 product of two generating matrices: the natural binary code, and the transpose of the bit-reversedform of the first.
Abstract: The matrix form of the Walsh functions as defined in the above-mentioned short note [1] can be generated by the modulo-2 product of two generating matrices: the natural binary code, and the transpose of the bit-reversed form of the first. As a result, the coefficients of the Walsh transform occur in bit-reversed order. By simply reordering the Walsh functions themselves to correspond to generation by the product of two such code matrices, neither or both in bit-reversed form, the Walsh coefficients occur in their natural order.
15 citations
Patent•
24 Aug 1970
TL;DR: A clock driven generator which produces desired Walsh functions in response to binary number input command signals is described in this paper, where the input commands are connected to various circuitry and thereby produce output signals which are individually a particular bit of a desired Walsh function.
Abstract: A clock driven generator which produces desired Walsh functions in response to binary number input command signals. The input command signals are connected to be operated on by various circuitry and thereby produce output signals which are individually a particular bit of a desired Walsh function. The Walsh function is obtained by scanning the output signals.
10 citations