A Hierarchical Block-Floating-Point Arithmetic

  • Authors:
  • Shiro Kobayashi;Gerhard P. Fettweis

  • Affiliations:
  • Mobile Communications Systems, Dresden University of Technology, 01026 Dresden, Germany;Mobile Communications Systems, Dresden University of Technology, 01026 Dresden, Germany

  • Venue:
  • Journal of VLSI Signal Processing Systems - Special issue on recent advances in the design and implementation of signal processing systems
  • Year:
  • 2000

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Abstract

In order to give an answer to a question of the arithmeticin future DSP architectures for mobile communication applications,the signal processing quality of different arithmetic representationshas been studied. Based on the result, a new approach forimplementing block-floating-point arithmetic is proposed. Thisapproach intends to preserve the least-significant-bits (LSBs) toimprove signal processing quality. The preservation of LSBs isautomatically and perfectly done by hardware. Serveral simulationresults show that the proposed block-floating-point implementationprovides improved SNRs over conventional block-floating-pointimplementations. For the same number of bits in the memory for eachrepresentation, the SNRs better than floating-point are alsoobserved. For multiple datapath DSPs, this implementation alsorequires significantly less hardware complexity thanfloating-point.