Quadratic modular number codes are considered for reducing the complexity of multiplication in complex digital signal processing. If the modulus is chosen to be an augmented power-of-2, a code translation can be applied to obtain a diminished-1 binary representation which leads to an efficient hardware realization for complex arithmetic. It is proved that the quadratic representation exists for moduli of the form 2**n plus 1 for all even n. Various properties of this quadratic arithmetic are analyzed for the efficient realization of complex arithmetic in specialized signal processing applications.
|Original language||English (US)|
|Number of pages||4|
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|State||Published - Dec 1 1984|
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering