An engineering consideration of spectral transforms for ternary logic synthesis
Open Access
- 1 January 1979
- journal article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 22 (2) , 173-183
- https://doi.org/10.1093/comjnl/22.2.173
Abstract
This mainly tutorial paper attempts to look into the problems and possibilities of spectral transformations which may be useful for ternary network synthesis, corresponding to the Walsh and Rademacher-Walsh transforms which are being exploited in the binary area. In order to provide a common basis for many readers, existing binary transforms and their meanings are briefly covered in a largely non-mathematical form, form which starting point the desirable features of corresponding ternary transforms are considered. It will be seen that the higher valued radix of ternary logic raises complexities of interpretation which are absent in the binary area, and hence the extension of certain existing design techniques using spectral data from binary to ternary may prove difficult. Further extension to radices greater than three, while raising no further fundamental mathematical problems, will compound the difficulties of application.Keywords
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