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The Number Theoretic Hilbert Transform (1308.1688v1)
Published 5 Aug 2013 in cs.CR, cs.IT, math.IT, and math.NT
Abstract: This paper presents a general expression for a number-theoretic Hilbert transform (NHT). The transformations preserve the circulant nature of the discrete Hilbert transform (DHT) matrix together with alternating values in each row being zero and non-zero. Specific examples for 4-point, 6-point, and 8-point NHT are provided. The NHT transformation can be used as a primitive to create cryptographically useful scrambling transformations.