Preprint of the paper that appeared in: IEEE Transactions on Information Theory. 1994 vol. 40, nr 5, pp 1490-1503 On restoring band-limited signals Miros law Pawlak ? and Ewaryst Rafajlowicz ?? ? University of Manitoba, Department of Electrical & Computer Engineering, Winnipeg, Manitoba, Canada, R3T 2N2 ?? University of Manitoba, Department of Electrical & Computer Engineering, Winnipeg, Manitoba, Canada, R3T 2N2 on leave from Institute of Engineering Cybernetics, Technical University of Wroc law, Wybrze˙ ze Wyspia´ nskiego 27, 50 370 Wroc law, Poland ? This work was supported by the Humboldt Foundation and NSERC grant A8131 ?? This work was partly supported by the grant of Council for Scientific Research of Poland and NSERC grant A8131 Address for Correspondence: M. Pawlak Department of Electrical & Computer Engineering,