Title :
Complex constant number serial multipliers
Author :
Pekmestzi, K.Z. ; Kalivas, P. ; Moshopoulos, N. ; Sifnaios, J.
Abstract :
An efficient implementation of a complex number serial multiplier, when the one factor is constant, is presented. The real and imaginary parts of the constant number are represented in canonic signed digit (CSD) form. The corresponding parts of the non-constant factor are represented in two´s complement form. The real and imaginary parts of the product are obtained in two´s complement form. The CSD representation was chosen because it yields significant hardware reduction. The proposed scheme operates with 100% hardware efficiency; namely, no sign extension words between successive data words are required
Keywords :
VLSI <complex const. no. serial multipliers>; circuit complexity <complex const. no. serial multipliers>; digital arithmetic <complex const. no. serial multipliers>; fast Fourier transforms <complex const. no. serial multipliers>; multiplying circuits <complex const. no. serial multipliers>; shift registers <complex const. no. serial multipliers>; canonic signed digit representation; complex constant number serial multipliers; complex multiplication operation; hardware complexity; hardware reduction; high radix FFT calculation; imaginary parts; nonconstant factor; real parts; serial-parallel approach;
Journal_Title :
Circuits, Devices and Systems, IEE Proceedings -
DOI :
10.1049/ip-cds:20030270
