Systems and methods for multichannel, multirate lattice wave filters receive digital signal channels at a first sample rate and include a first multiplexer to combine the digital signal channels into a first digital data stream, and a first lattice wave filter comprising a first delay elements and a first feedback path to the first multiplexer, the first lattice wave filter produces a first output digital data stream having a second sample rate that is different than the first sample rate. The first multiplexer is configured to receive a first feedback signal through the first feedback path and combine the first feedback signal with the digital signal channels to produce the first digital data stream. The system may include a first processing branch comprising the first multiplexer and the first lattice wave filter structure, and a second processing branch comprising a second multiplexer and a second lattice wave filter structure. This may enable the implementation of simplified filters of lower complexity by reuse of hardware.