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