1. Each row of a Walsh matrix corresponds to a Walsh function . 2. It decomposes an arbitrary input vector into a superposition of Walsh functions . 3. The Walsh function and the Walsh Hadamard code are named after him. 4. Sylvester matrices are closely connected with Walsh functions . 5. The system of Walsh functions is known as the "'Walsh system " '. 6. In radio astronomy, Walsh functions can help reduce the effects of electrical crosstalk between antenna signals. 7. Walsh functions and trigonometric functions are systems that both form a complete, Haar system or the Franklin system.8. Romanuke showed that Walsh functions can be generalized to binary surfaces in a particular case of function of two variables. 9. In mathematics, more specifically in harmonic analysis, "'Walsh functions "'form a dyadic fractions. 10. There also exist eight Walsh-like bases of orthonormal binary functions, whose structure is nonregular ( unlike the structure of Walsh functions ).
