Title :
On the truncation error of the sampling expansion for stationary bandlimited processes
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA
fDate :
10/1/1994 12:00:00 AM
Abstract :
We consider the truncation error of the cardinal sampling expansion of stationary bandlimited processes. We show that the rate of convergence does not exceed 1/N2. This corrects the result of Pogany (see ibid., vol.39, p.1918, 1991) where a considerably faster rate of O((1n2N)/N2q) for every positive integer q was presented
Keywords :
convergence of numerical methods; error analysis; signal processing; statistical analysis; convergence rate; sampling expansion; stationary bandlimited processes; truncation error; Autocorrelation; Circuit theory; Entropy; Finite wordlength effects; IIR filters; Polynomials; Power filters; Sampling methods; Signal processing; Signal sampling;
Journal_Title :
Signal Processing, IEEE Transactions on
