On the truncation error of the sampling expansion for stationary bandlimited processes

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/N/sup 2/. This corrects the result of Pogany (see ibid., vol.39, p.1918, 1991) where a considerably faster rate of O((1n/sup 2/N)/N/sup 2q/) for every positive integer q was presented.<>