A method to design parallel TH precoders and a circuit architecture to implement parallel TH precoders have been presented. The parallel design relies on the fact that a TH precoder can be viewed as an IIR filter with an input equal to the sum of the original input to the TH precoder and a compensation signal. The parallel design also relies on the fact that the compensation signal has finite levels. Therefore, precomputation techniques can be applied to calculate intermediate signal values for all possible values of the compensation signal.