Various techniques are described for correcting distortion in an analog input signal after digitization in a receiver signal chain. The techniques include a system that stores concatenated distortion correction terms, allowing for efficient data handling and processing. The techniques further include a system that has a smaller number of replica memories compared to primary memories, which store operational data. The replica memories are updated with new data and may be swapped with primary memories to update them without interrupting system operations. The techniques further include a dither system that uses two memories to store and process the dithered signals, which are then combined to produce a noise-corrected digital output. The techniques further include a system to correct distortions in analog input signals processed through multiple parallel paths.