Device for converting a signal with a first sampling rate to a signal with a second sampling rate

Claim 1

Arrangement for converting a signal with a first sampling clock (T 0 ) into a signal with a second sampling clock (T 1 ), sampled values of the signal being fed to a digital filter (6), and coefficients of the digital filter (6) being formed as a function of the ratio between the sampling rates (T 1 /T 0 ), and sampled values being read out from the digital filter (6) using the second sampling clock (T 1 ), characterized in that the coefficients a n,k are formed according to the following function: a n,k = Φ (n · T 1 /T 0 - k) for k = k 1 ...k l , where l represents the number of coefficients, n is a natural number, Φ is a time-limited function with the time limit T ≥ 0, i.e. Φ (t) = 0 for |t| ≥ T, and k is a control variable in the range of the natural numbers and runs from k 1 to k l , k 1 = [nT 1 /T 0 - T] + 1 and k l = [nT 1 /T 0 + T], where the square bracket in the equations represents the largest integral value for k 1 and k 1 which is less than or equal to their actual content, and the Fourier transform Φ satisfies the following equation: D j being the j-th derivation of Φ at the point 2πk, and δ j,0 = 1 for j = 0 and δ j,0 = 0 for j ≠ 0.