Network and Parallel Computing

Volume 3779 of the series Lecture Notes in Computer Science pp 189-196

An Improved Scheme of Wavelength Assignment for Parallel FFT Communication Pattern on a Class of Regular Optical Networks

  • Yawen ChenAffiliated withJapan Advanced Institute of Science and Technology
  • , Hong ShenAffiliated withJapan Advanced Institute of Science and Technology


Routing and wavelength assignment (RWA) is a central issue to increase efficiency and reduce cost in Wavelength Division Multiplexing (WDM) optical networks. In this paper, we propose an improved scheme of wavelength assignment of parallel FFT communication pattern on a class of regular optical networks. With our new scheme, the numbers of wavelengths required to realize parallel FFT communication pattern with 2 n nodes on WDM linear arrays, rings, 2-D meshes and 2-D tori are \(\lfloor 2^{n-2}+1\rfloor\) , \(\lfloor 2^{n-3}+1 \rfloor\) , \(\lfloor 2^{max(k, n-k)-2}+1\rfloor\) and \(\lfloor 2^{max(k,n-k)-3}+1\rfloor\) respectively, which are about one-third less for linear arrays and meshes, and a half less for rings and tori, than the known results. Our results have a clear significance for applications because FFT represents a common communication pattern shared by a large class of scientific and engineering problems and WDM optical networks as a promising technology in networking has an increasing popularity.


Parallel FFT wavelength assignment optical networks Wavelength Division Multiplexing (WDM) network embedding