Abstract:
High computational complexity is an
important drawback of different signal processing
algorithms and face many challenges in real-time
applications .To enhance the speed of different
arithmetic units in general and multiplications and
additions in particular are therefore the most important
issues in the current research areas . Double based
number systems (DBNS)[1][11] gains its popularity for
their capabilities of handling arithmetic operations
efficiently. Even though DBNS schemes exhibit
reasonably good performance for 8 bit multiplication ,
they are not efficient for higher bits that is they are not
efficient to cover a large range of numbers .Here we
introduce a new concept “Triple based Number Systems
(TBNS)[2][3][4][5][12][15] for performance
enhancement of the multiplier of the digital signal
Processors. The principle of conversion of binary
number to TBNS has been dealt here clearly. This
number system has been dealt efficiently with in details
and a comparison between TBNS and Double Base
Number Systems (DBNS) clearly indicate the advantages
of the former in terms of speed, hardware complexity
and power dissipation. Different architectural models
have been proposed.
