Title :
On restoring band-limited signals
Author :
Pawlak, Mirostaw ; Rafajlowicz, E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Manitoba Univ., Winnipeg, Man.
Abstract :
The problem of reconstruction of band-limited signals from discrete and noisy data is studied. The reconstruction schemes employing cardinal expansions are proposed and their asymptotical properties are examined. In particular, the conditions for the convergence of the mean integrated squared error are found and the rate of convergence is evaluated. The main difference between the proposed reconstruction scheme and the classical one is in treating the sampling rate and the reconstruction rate differently. This distinction is necessary to ensure consistency of the reconstruction scheme in the presence of noise
Keywords :
convergence of numerical methods; parameter estimation; random noise; signal detection; asymptotical properties; band-limited signals; cardinal expansions; convergence; discrete noisy data; mean integrated squared error; reconstruction; restoration; sampling rate; Bandwidth; Convergence; Councils; Cybernetics; Fourier transforms; History; Interpolation; Reactive power; Sampling methods; Signal restoration;
Journal_Title :
Information Theory, IEEE Transactions on
