The invention features a filter arrangement for filtering an input signal that includes a transmitter signal having a predetermined pulse shape at a receiving end to transmit the input signal, a decimation filter to decimate the input signal that includes a passband frequency range and a wide transition frequency range with an amplitude attenuation, and a matching filter to match the input signal to the pulse shape of the transmitter signal. Such filter arrangements also feature passband frequency ranges for decimation filters which are smaller than the ranges for matching filters.