Walsh function

Natural ordered and sequency ordered Hadamard matrix of order 16.Especially the former is usually called Walsh matrix.Both contain the 16 Walsh functions of order 16 as rows (and columns).In the right matrix the number of sign changes per row is consecutive.

The system of Walsh functions (or, simply, Walsh system) may be viewed as a discrete, digital counterpart of continuous, analog system of trigonometric functions on the unit interval. Unlike trigonometric functions, Walsh functions are only piecewise-continuous and, in fact, are piecewise constant. The functions take the values −1 and +1 only, on sub-intervals defined by dyadic fractions.

单词	Walsh function
释义	Walsh function 英语百科 Walsh function The system of Walsh functions (or, simply, Walsh system) may be viewed as a discrete, digital counterpart of continuous, analog system of trigonometric functions on the unit interval. Unlike trigonometric functions, Walsh functions are only piecewise-continuous and, in fact, are piecewise constant. The functions take the values −1 and +1 only, on sub-intervals defined by dyadic fractions.
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