Multidimensional Signal and Color Image Processing Using Lattices

Appendix DMultidimensional Fourier Transform Properties

This appendix provides a synthesis of the Fourier transform properties presented in Chapters 2–5 in a single table. All corresponding properties appear in a single row of this table.

The duality property for the discrete‐domain Fourier series is not given in the main text. In this property, is an isomorphism from to , with inverse . This property can be proved using the methods of Section 4.6.2 with the Smith normal form.