User:Watchduck/sandbox

Parity function

Walsh function generator... ...can be computed as the exclusive-or of the selected bits of t. https://ntrs.nasa.gov/api/citations/19930016429/downloads/19930016429.pdf

Single chip FPGA based realization of arbitrary waveform generator using rademacher and walsh functions One way to compute the Walsh functions are by using Rademacher functions. The Walsh functions are generated using products of the Rademacher functions. [...] If we convert the ±1 amplitudes of the Walsh functions to a binary logic {0, 1} representation with the conversions +1 &rarr; “0” and &minus;1 &rarr; “1”, then multiplication of Rademacher functions is equivalent to Exclusive-OR operation. https://www.researchgate.net/publication/224690392_Single_chip_FPGA_based_realization_of_arbitrary_waveform_generator_using_rademacher_and_walsh_functions

Principles Of Applied Mathematics: Transformation And Approximation To determine the remaining Walsh functions, we define the "exclusive or" binary operation $$\oplus$$ (also called add without carry) using the table... http://fig.if.usp.br/~marchett/fismat3/walsh-functions_keener.pdf