Prof. Vlček was born in 1951 in Prague. Since his early youth, his passion for mathematics manifested itself, continuing throughout his entire life. He graduated in theoretical physics - mathematical physics from the Faculty of Mathematics and Physics of Charles University in Prague In 1974. A year later, he passed his rigorous exam and received his Doctor of Natural Sciences degree (RNDr.). His professional career is mainly associated with CTU in Prague. Immediately after graduation, he had joined the Department of Circuit Theory of the Faculty of Electrical Engineering, where he worked as a researcher in the field of signal propagation over lines and in the areas of analog and digital filter design and their approximation. He was one of the first in Czechoslovakia to design multidimensional digital filters. Since 1993, the newly established Faculty of Transportation Technology has become his main office. He played one of the key roles in creating it. However, he remained in close pedagogical and scientific contact with the Faculty of Electrical Engineering, where he obtained the title of Doctor of Sciences (DrSc.) in Radioelectronics in 1994, he was then habilitated in 1998, and in 2000, he became Professor of Theoretical Electrical Engineering.
He introduced new subjects to teaching at both faculties, as teacher he was demanding but fair, patient tutor. He also worked abroad and from 1989 to 1992, he taught applied mathematics on the island of Malta. In addition to teaching students, he trained successful PhD students, who later became professors, some who work at foreign universities. In the scientific field, he is the author or co-author of more than 130 scientific publications in the areas of digital signal processing with applications in telecommunications, digital filter design, approximation theory, special functions and numerical methods. He has achieved key scientific achievements, especially in the area of designing optimal digital filters with ultimate impulse response,.
Professor Vlček had always spread good reputation of CTU in Prague during his many stays abroad. These include the 1978/79 British Council scholarship at Queen Mary College, the University of London, and several stays under the Alexander von Humboldt scholarship at the Technische Universität Erlangen - Nürnberg in 1987/88, 1997 and 1999, his stay at Institut National des Télécommunication, France Telecom, Evry, in 1996, Eisenhower Exchange scholarship in 1998 and more. His audience with the President of the Federal Republic of Germany Richard von Weizsäcker at Villa Hammerschmidt in Bonn is unforgettable.