Methods and apparatus are disclosed for compressing and decompressing data to reduce bandwidth requirements in transmissions of predistorted signals between a processing node and a remote transmitting node of a power amplifier with digital predistortion (PA-DPD) system. In the processing node, predistorted signals are decomposed into a high-dynamic range signal of a first sample rate and a low-dynamic range signal of a second sample rate greater than the first sample rate. Samples of both signals are combined to generate a compressed signal for transmission to the remote transmitting node, which decompresses the compressed signal to restore the predistorted signal.