In any digital signal processors (DSP’s) the speed of the multipliers plays a very important role. The precision of the multipliers also plays very important role along with its speed. For many high performance systems such as Digital Signal Processors, Microprocessors etc Multipliers are the key components. Since the Floating point multipliers can provide required precision but they are relati...

It is proved that stability multipliers such as Zames–Falb multipliers, Popov multipliers, and RL/RC multipliers, known to preserve positivity of monotone memoryless nonlinearities, do not, in general, preserve their incremental positivity. Our result implies that stability results based on these multipliers should be interpreted with caution since without incremental positivity the continuity ...

Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). This seminar presents two equivalence results within multiplier theory. In the first part of the seminar, passivity with multipliers and IQC theory are compared. The p...

The increasing demand for the high fidelity portable devices has laid emphasis on the development of low power and high performance systems. In the next generation processors, the low power design has to be incorporated into fundamental computation units, such as multipliers. The characterization and optimization of such low power multipliers will aid in comparison and choice of multiplier modu...

0740-7475/98/$10.00 © 1998 IEEE 105 MODULE GENERATORS PROVIDED by library vendors supply chip designers with optimized Booth multipliers, which are widely used as embedded cores in both generalpurpose data path structures and specialized digital signal processors. Designers frequently use Booth multipliers in areaand speedcritical parts of complex ICs. Compared to standard array multipliers, Bo...