AN ESTIMATE OF THE CODE LENGTH OF SIGNALS WITH A FINITE SPECTRUM IN CONNECTION WITH SOUND-RECORDING PROBLEMS
Виктор Иванович Буслаев, A G Vituškin · Mathematics of the USSR-Izvestiya · 1974
In the article an estimate is given of the entropy of the Bernstein class Bσ. This class consists, by definition, of the real-valued functions of a single real variable that are bounded in absolute value on the real line by unity and such that the supports of their Fourier transforms are contained in the interval [–σ,σ]. The meaning of the estimates will be discussed in connection with sound-recording problems.Bibliography: 4 items.