Formulas for computation of 2-D logarithmic and 2-D differential cepstrum

Abstract Exact analytical formulas for the 2-D logarithmic cepstrum and the 2-D differential cepstrum of a class of 2-D signals are derived. They permit an easy evaluation consisting in a finite number of arithmetic operations on a finite domain of the cepstral plane. The results are demonstrated by examples with explicit expressions.