The time-of-flight system disclosed herein includes a frequency unwrapping module configured to generate an input phase vector with M phases corresponding to M sampled signals from an object, determine an M−1 dimensional vector of transformed phase values by applying a transformation matrix (T) to the input phase vector, determine an M−1 dimensional vector of rounded transformed phase values by rounding the transformed phase values to a nearest integer, and determine a one dimensional lookup table (LUT) index value by transforming the M−1 dimensional rounded transformed phase values. The index value is input into the one dimensional LUT to determine a range of the object.