Abstract: In an adaptive digital filter for use in an echo canceller or a decision feedback equalizer in a digital data transmission system, reduced storage and lower arithmetic processing speed are attained by subsampling, in effect, the later parts of the waveform, i.e. the tail portion which changes relatively slowly. Such an adaptive digital filter comprises a storage device, such as a shift register, for storing a group of bits which represents symbols being transmitted in the digital data signal, a first stage for deriving an estimate for a first group of the stored bits, and at least one second stage for deriving an estimate for a second group of stored bits occurring earlier in time than the first group. The second stage has a summing device for summing the second group of bits to generate a quantity representing the cumulative sum of the symbols represented in the group, and a multiplier for multiplying the quantity by a single coefficient to obtain an echo estimate for the second stage.

Abstract: A digital transmission system in which bursts of digital signals are transmitted in opposite directions over a two wire telephone loop at fixed frame intervals. Each signal burst is bounded by initial and final synchronization bits at its beginning and ending respectively. Synchronization is established by determining coincidence of the final bit of one burst, the initial bit of the following burst, and two gating signals having an equivalent time interval therebetween.