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1: 30.15 Signal Analysis
Equations (30.15.4) and (30.15.6) show that the functions ϕ n are σ -bandlimited, that is, their Fourier transform vanishes outside the interval [ - σ , σ ] . … The sequence ϕ n , n = 0 , 1 , 2 , forms an orthonormal basis in the space of σ -bandlimited functions, and, after normalization, an orthonormal basis in L 2 ( - τ , τ ) . …
2: Bibliography L
  • R. J. Lyman and W. W. Edmonson (2001) Linear prediction of bandlimited processes with flat spectral densities. IEEE Trans. Signal Process. 49 (7), pp. 1564–1569.