FPGA based processing of digital signals using Walsh analysis

Zulfikar, Zulfikar; Abbasi, Shuja A.; Alamoud, A.R.M.

doi:10.1109/inecce.2011.5953922

Cited by 5 publications

(2 citation statements)

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“…ALSH functions, which form a complete set of "digital" orthogonal functions, are one of the main tools for spectral analysis of digital signals [1][2][3]. Their construction was originally an attempt to implement a "digital" analogue of harmonic functions most widely used for spectral analysis of analog signals.…”

Section: Introductionmentioning

confidence: 99%

“…Nonbinary Galois fields can also be used to algebraize multivalued logic, for example, the Galois field GF (3) containing three elements can be used to construct algebraic operations, to which operations performed on variables of ternary logic are reduced -in the same way as classical the binary logic variables correspond to the Galois field GF (2).…”

Section: Introductionmentioning

confidence: 99%

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International Journal of Electronics and Telecommunications

Vitulyova

Matrassulova

Сулейменов

2021

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Generalized Rademacher functions, constructed as a sequence of elements of Galois fields are intended to find the spectral representation of signals with levels. These functions form a complete basis on the interval corresponding to -1 discrete time intervals and for passing into the classical Rademacher functions. The advantage of such spectra obtained using Galois Fields Fourier Transform is that the range of variation of the spectrum amplitudes remains the same as the range of variation of the original signal, which is modeled on discrete time functions taking values in the Galois field.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%