High-speed Wigner processing based on a single modulus quadratic residue numbering system

The discrete Wigner distribution (DWD) has become an established DSP tool. A generalized form of the DWD, termed the smoothed-psuedo-DWD (SPDWD), has been offered in the literature and shown to have several attractive features. In this work, an implementation for an SPDWD processor is provided. The SPDWD processor uses the single-modulus quadratic number system, an alternative numbering system which reduces multiplies. The symmetry property of the SPDWD kernel is used to further reduce computations.