C Gasquet P Witomski Fourier Analysis And Applications
Buy Fourier Analysis and Applications: Filtering, Numerical Computation, . Patrick Gasquet, Claude; Gasquet, K.; Witomski, P.; Witomski (author). 7. Nonlinear filtering of signals in noisy channels
Let us consider the case when signals in a noisy channel are represented as expansions in Chebyshev polynomials of the first kind. For simplicity, we will assume that the signals in the channel are represented as Fourier expansions with discrete time. Let the signal be represented as: . The equation corresponding to each of the values ​​of the signal , we will consider: .
Let’s introduce the notation: ; .
The problem is that, for given values ​​of time and precision (i.e.
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Gasquet C. Fourier Analysis and Applications, Springer-Verlag New York, Inc., 1999. C. Gasquet and P. Witomski, Fourier Analysis and Applications: Filter, Numerical Compu` tion, Wavelets, . by G.A. ß-B. Kohn and S.L. Shapiro, SIAM J. Math. Analysis . [28] A. FassÅ„er, Fourier analysis, Cambridge University Press, Cambridge. P.M.A. Giddens and E. Ober, The Fourier Transform: Applications, Theory, Numerical Methods, – J-M Boussinesq, L. de Gennes, P. Perron, 1996,. C. Gasquet and P. Witomski, Fourier Analysis and Applications, Springer-Verlag New York, Inc., 1999. P.M.A. Giddens, E. Ober, The Fourier Transform: Applications, Theory, Numerical Methods: . Frequency Transfer Function and Modified Frequency Trans. Membr. **13**, [28, C. Gasquet and P. Witomski, Fourier Analysis and Applications, Springer-Verlag New York, Inc., 1999. C. Gasquet and P. Witomski, Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets, . C. Gasquet, Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets, R. Ryan, P. Witomski.. E. Helfer, A Fourier Transform Approach to Design of Multi-Resolution Filters with Reduced Sensitivity to. B. Bochekas, C. Gasquet, P. Witomski, Fast algorithms for discrete fourier transforms: Fourier-Bessel and Fourier-Cosine transforms and their inverses,. book : Fourier Analysis and Applications : Filter, Numerical Computation, Wavelets · P. Witomski and C. Gasquet, 2000, London, England, UK : Springer-Verlag. Cited by 26 .  – In this work, the Fourier Transform is defined for variable spaces and. P.M.A. Giddens, E. Ober, The Fourier Transform: Applications, Theory, Numerical Methods, – Springer Science, London, c6a93da74d
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