Premium
On the determination of the worst sampling error in a communication system for pulse‐amplitude‐modulated signals by solving an approximation problem
Author(s) -
Krabs W.,
Meister E.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080117
Subject(s) - mathematics , bandlimiting , impulse (physics) , impulse response , amplitude , sampling (signal processing) , nonuniform sampling , impulse invariance , control theory (sociology) , mathematical analysis , algorithm , computer science , telecommunications , bandwidth (computing) , digital filter , fourier transform , infinite impulse response , physics , control (management) , quantum mechanics , artificial intelligence , detector , quantization (signal processing)
A communication system for pulse‐amplitude‐modulated signals is considered whose impulse response is bandlimited. For a certain class of sampling errors the worst case is investigated where the sampling error of the system is such that the least mean square transmission error achieved by a suitable choice of the impulse response becomes maximal. This problem is dualized in the sense of two person game theory and thereby transferred to an equivalent approximation problem for whose solution a necessary and sufficient condition is given and applied to special cases.