论文信息 - An upper bound on the estimation error in the threshold region

An upper bound on the estimation error in the threshold region

An upper bound on the estimation error in the threshold region (probability of threshold effect and mean-square error) is obtained for nonlinear pulse modulation systems. The problem is viewed in an N -dimensional Euclidean space. The space of all received signals is divided into two regions, corresponding to the two types of error: weak-noise approximation and threshold effect. The threshold region is geometrically upper bounded by a larger region, and the estimation error is obtained as a sum of incomplete \Gamma functions. The resulting bound on the mean-square error was found to be quite close for the cases calculated. An extension of the method to PPM system is also presented.

Uzi Timor | U. Timor

[1] Lawrence P. Seidman,et al. An upper bound on average estimation error in nonlinear systems , 1968, IEEE Trans. Inf. Theory.

[2] Uzi Timor. Design of signals for analog communication , 1970, IEEE Trans. Inf. Theory.

[3] H. Pollak,et al. Prolate spheroidal wave functions, fourier analysis and uncertainty — III: The dimension of the space of essentially time- and band-limited signals , 1962 .