In the previous work, the problem of nding gate delays to eliminate glitches has been solved by linear programs (LP) requiring an exponentially large number of constraints. By introducing two additional variables per gate, namely, the fastest and the slowest arrival times, besides the gate delay,we reduce the number of the LP constraints to be linear in circuit size. For example, the 469-gate c880 circuit requires 3,611 constraints as compared to the 6.95 million constraints needed with the previous method. The reduced constraints provably produce the same exact LP solution as obtained by the exponential set of constraints. For the rst time, we are able to optimize all ISCAS'85 benchmarks. For the c7552 circuit, when the input to output delay is constrained not to increase, a design with 366 delay bu ers consumes only 34 % peak and 38 % average power as compared to an unoptimized design. As shown in previous work, the use of delay bu ers is essential in this case. The practicality of the design is demonstrated by implementing an optimized 4-bit ALU circuit for which the power consumption was obtained by a circuit-level simulator. 1.

Abstract{A new low-power design method produces CMOS circuits that consume the least dynamic power at the highest speed permitted under the technology constraint. A gate is characterized by an inertial delay and separate delays between its inputs and output. The technology constraint, related tofeasible ranges of lengths and widths of transistors, is speci ed bya parameter u b.Itistheupper bound on the di erence between the input to output delays corresponding to any pair of inputs of a gate. We formulate a linear program (LP) whose size is proportional to the circuit size. This LP determines the inertial delay as well as input to output delays for each gate of the circuit with the given u b, such that all glitches are eliminated and the overall delay of the circuit is minimized. Because of the additional exibility in specifying gate delays, the glitch suppression is guaranteed without any delay bu ers. Hence this design consumes less power than those designed by other methods. We designed the circuit c1355 with 46 % of the original power dissipation compared toareference design. A previously published method, that characterizes each gate with a single delay, produced a c1355 circuit consuming 58% of the original power. Both low-power circuits had the same overall delay. The previous design required 224 delay bu ers, whereas the new design needed none. 1.

Literature proposes linear programming (LP) methods for glitch-less design of digital circuits. Considering the worstcase these methods ensure absence of glitches for any arbitrary state of primary input as well as internal signals. In this paper, we examine an unexplored aspect, i.e., glitchfree design with respect to a specific set of vectors (patterns). Introducing the logic-level concepts of glitch-generation patterns and glitch-generation probability, which are analyzable through logic simulation, we remove glitch filtering requirements from gates on which the given set of input vectors cannot produce glitches. We relax constraints of any existing LP either selectively or probabilistically. Such inputspecific design from an LP model without process variation and another with process variation reduced the number of delay buffer overhead by up to 80 % and 63%, respectively, while maintaining the power reduction and overall delay.

Abstract. The time taken for a CMOS logic gate output to change after one or more inputs have changed is called the output delay of the gate. A conventional multi-input CMOS gate is designed to have the same input to output delay irrespective of which input caused the output to change. A gate which can offer different delays for different input-output paths through it, is known as a v ¯ ariable input delay(VID) gate and the maximum difference in delay between any two paths through the same gate is known as “ub”. These gates can be used for minimizing the active power of a digital CMOS circuit using a previosuly described technique called v ¯ ariable input delay(VID) logic. This previous publication proposed three different designs for implementating the VID gate. In this paper, we describe a technique for transistor sizing of these three flavors of the VID gate for a given delay requirement. We also describe techniques for calculating the ub of each flavor. We outline an algorithm for quick determination of the transistor sizes for a gate for a given load capacitance. 1

Modern digital circuits consist of logic gates implemented in the complementary metal oxide semiconductor (CMOS) technology. The time taken for a logic gate output to change after one or more inputs have changed is called the delay of the gate. A conventional CMOS gate is designed to have the same input to output delay irrespective of which input caused the output to change. We propose a new gate design that has different delays along various input to output paths within the gate. This is accomplished by inserting selectively sized “permanently on ” series transistors at the inputs of the logic gate. We demonstrate the use of the variable input delay CMOS gates for a totally glitch-free minimum dynamic power implementation of a digital circuit. Applying a previously described linear programming method to the c7552 benchmark circuit, we obtained a power saving of 58 % over an unoptimized design. This power consumption was 18% lower than that for an alternative low power design using conventional CMOS gates. All circuits had the same overall delay. Since the overall delay was not allowed to increase, the glitch elimination with conventional gates required insertion of delay buffers on non-critical paths. The use of the variable input delay gates drastically reduced the required number of delay buffers. 1

A gate that offers different delays for different input-output paths through it, is known as a variable input delay (VID) gate. The upper bound on this differential delay capability is specified by the parameter “ub”. These gates can be used to minimize the active power of a digital CMOS circuit by a path balancing and glitch filtering techniques discussed in recent publications. In this paper, we describe transistor sizing methods for three types of VID gates that satisfy given delay requirements. The three ways to obtain the differential delays are capacitance manipulation, nMOS transistor insertion, and CMOS transmission gate insertion. We also describe techniques for calculating the ub of each VID gate type. Finally, we outline an algorithm for quick determination of the transistor sizes for a gate for a given load capacitance. 1

The power dissipated in a CMOS circuit consists of dynamic power, leakage power and short-circuit power components. The topic of this paper is the reduction of dynamic power. When an input vector is applied to the primary inputs (PI), the minimum power requirement for each gate output is to produce

There are many ways of combining the transistors to perform the logic functions such as NOT, NAND and NOR. We will describe the CMOS design style which is the most prominent in current day technologies.