Performance Estimation for Lowpass Ternary Filters

Abstract

<p/> <p>Ternary filters have tap values limited to <inline-formula><graphic file="1687-6180-2003-494365-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-6180-2003-494365-i2.gif"/></inline-formula>, or <inline-formula><graphic file="1687-6180-2003-494365-i3.gif"/></inline-formula>. This restriction in tap values greatly simplifies the multipliers required by the filter, making ternary filters very well suited to hardware implementations. Because they incorporate coarse quantisation, their performance is typically limited by tap quantisation error. This paper derives formulae for estimating the achievable performance of lowpass ternary filters, thereby allowing the number of computationally intensive design iterations to be reduced. Motivated by practical communications systems requirements, the performance measure which is used is the worst-case stopband attenuation.</p

Realization of Ternary Sigma-Delta Modulated Arithmetic Processing Modules

“…When signals are put into SDM format, they typically have very short word-lengths (e.g., binary or ternary). This very simple representation creates the potential for reduced hardware complexity, simpler signal bus routing, and resilience against electronic component inaccuracies [1,2]. There is yet another advantage to the use of SDM (or bitstream) systems.…”