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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 92
COMPARATIVE ANALYSIS OF LECTOR AND STACK TECHNIQUE
TO REDUCE THE LEAKAGE CURRENT IN CMOS CIRCUITS
Mansi Gangele1
, K. Pitambar Patra2
1
M.Tech Scholar, Department of ECE, RKDF Institute Of Science & Technology,RGPV Bhopal, M.P., India
2
Assistance Professor, Department of ECE, RKDF Institute Of Science & Technology, RGPV Bhopal, M.P., India
Abstract
CMOS is the latest technology available in today’s world. And the biggest advantage of this technology is it does not consume any
power. So the total power consumption is dependent on its leakage power. Since leakage exists in the circuit even if it is in stand
by state i.e. the state in which gate of the circuit is not getting power supply. So the power loss in the circuit is high. And that’s
why our major concern is to reduce the leakage current in the circuit. Varieties of different techniques are available to reduce the
leakage current and still continue to derive more, better techniques. In this paper two different techniques LECTOR and STACK
technique which are based on the same principle have been comparatively analyzed.
Keywords: Delay, Leakage current, Lector technique, Stack technique.
----------------------------------------------------------------------***--------------------------------------------------------------------
1. INTRODUCTION
As we are using nano design in the CMOS technology
threshold voltage is decreasing because of which leakage
current is exponentially increasing.
IO α (e-qVt/ƞKT
)
To reduce the leakage current so many techniques are
available at the cost of other parameters such as dynamic
power, reliability, delay etc. which in turn affects the
switching performance of the circuit. We use these
techniques as per our requirement. LECTOR and STACK
techniques are the two techniques which reduce the leakage
power without increasing the dynamic power.
In this paper LECTOR technique is implemented on logic
gates NAND & NOR and half adder, half subtractor and
decoder. And then this technique is compared to the STACK
technique.
2. RELATED WORK
Many techniques have already been discussed to reduce the
leakage current in the nano scale design in CMOS circuits.
In the paper entitled „Design of Leakage Power Reduced
Static RAM using LECTOR‟ published by B. Dilip, P.
Surya Prasad, Dept. of ECE, MVGR College of Engineering,
Andhra Pradesh, India in journal (IJCSIT) International
Journal of Computer Science and Information Technologies,
Vol. 3 (3) LECTOR is a technique for designing CMOS
circuits in order to reduce the leakage current without
affecting the dynamic power dissipation, which made
LECTOR a better technique in leakage power reduction
when compared to all other existing leakage reduction
techniques. This paper presents the analysis for leakage
current in Static RAM implementing LECTOR technique.
In another paper entitled „Reduction of Leakage Power in
CMOS Circuits Using Stack Technique‟ by Mansi Gangele
& K. Pitambar Patra Department Of ECE, RKDF Institute
Of Science & Technology, Bhopal/ RGPV Bhopal, M.P,
India published in International Journal of Modern
Engineering Research (IJMER), 5(5):1-8, 2015 STACK
technique is proposed.
According to M. D. Powell, S.-H. Yang, B. Falsafi, K. Roy,
and T. N. Vijaykumar, “Gated-Vdd: A circuit technique to
reduce leakage in deep submicron cache memories,” in
Proc. IEEE ISLPED, 2000, pp. 90–95, Power gating
technique uses additional transistors, called sleep transistors,
which are inserted in series between the power supply and
pull-up (PMOS) network and/or between pull-down
(NMOS) network and ground to reduce the standby leakage
currents. The sleep transistors are turned on when circuits
are in active mode and turned off when circuits are in
standby mode. By disconnecting the logic networks from the
power supply and/or ground using sleep transistors, this
technique reduces the leakage power in standby mode.
3. METHODOLOGY & IMPLEMENTATION
3.1 Stack Effect
When any state has more than one OFF transistors in the
path from power supply to ground then it is less leaky as
compare to the state which has only one OFF transistor in
the same path. And this effect is known as Stack effect.
Stack technology and Lector technology both are based on
this effect
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 93
Fig-1: CMOS NOR GATE
Fig-1 shows the CMOS nor gate. It has two PMOS
transistors which are connected in series and two NMOS
transistors which are connected in parallel. And the
combination of both PMOS and NMOS transistors are
connected in series and output is taken from the joint node.
3.2 Stack Technique
Stack technique is the technique where instead of each and
every one PMOS or NMOS transistors two PMOS or
NMOS transistors of half width are used respectively. These
two transistors either PMOS or NMOS are connected in
series.
Fig-2: STACK NOR GATE
Fig-2: shows the circuit diagram of Stack based two input
NOR gate. Basically in simple CMOS NOR gate two PMOS
and two NMOS transistors are used but In this Stack NOR
gate four PMOS and four NMOS are used.
3.3 Lector Technique
Basic principle behind this technique is stack effect only. In
this technique two extra transistors (one PMOS and one
NMOS) are introduced between pull down and pull up
network. These two transistors are self controlled transistors
and are called Leakage Control Transistors (LCT). The gate
of each LCT is controlled by the source of other. And
because of this kind of arrangement one of the LCT always
remains in its near cut off region.
Fig-3: LECTOR BASED NOR GATE
Fig-3: shows the circuit diagram of Lector based two input
NOR gate. In this circuit „A‟ and „B‟ are input nodes and
„Y‟ is output node. Two PMOS transistors are connected in
series and two NMOS transistors are connected in parallel.
And two series connected transistors M1 (PMOS) and M2
(NMOS) which are Leakage Control Transistors (LCTs) are
connected between pull down and pull up network. Gate
terminal of M1 is connected to source of M2 and gate of M2
is connected to source of M1.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 94
Fig-4: Timing simulation of Lector based nor gate
Table1: Static power, Total power and delay of NAND NOR & AND gate and their Lector and Stack gates
GATE TYPE
STATIC POWER (µW) TOTAL
POWER(µW)
DELAY
(ns)
(0,0) (0,1) (1,0) (1,1)
NAND 0.185 0.252 0.185 1nw 2.094 0 .029
LECTOR
NAND
0.391 0.391 0.399 0nw 1.871 0.033
STACK
NAND
0.248 0.278 0.173 0nw 1.333 0.101
NOR
0.358 0.165 0nw 0nw 2.017 0.013
LECTOR
NOR
0.418 0.418 0nw 0nw 1.946 0.074
STACK
NOR
0.342 0.166 0nw 0nw 1.195 0.044
AND 0.643 0.761 0.688 0.119 6.407 0.024
LECTOR
AND
0.971 0.983 0.991 0.342 5.015 0.059
STACK
AND
0.769 0.719 0.810 0.148 3.878 0.097
Fig-4 shows the analog simulation of Lector based NOR
gate. In this circuit output „Y‟ is high when both the inputs
„A‟,‟B‟ are low. And as shown in the simulation static
power at this time is 0.418µw. Total power is 1.946 µw.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 95
:
Fig-5.1: Power supply (Vdds) Vs Dissipated power
Fig-5.2: Monte Carlo simulation of power dissipation
In the above figures graph power supply vs dissipated power
and other is M. carlo simulation of power supply Vs
dissipated power respectively is shown. From node „A‟ to
„Y‟ power is very negligible i.e.0.002mw and same is the
power in M.carlo simulation.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 96
Fig-6: Power Supply (Vdds) Vs Rise delay
In the above fig. graph Power supply Vs Rise delay is shown. And the delay from node „A‟ to „Y‟ is 0.074.
Fig-7.1: Lector based half adder
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 97
Fig-7.1 shows the circuit diagram of Lector based Half
adder with „A‟ and „B‟ are the input nodes and „Y0‟ and
„Y1‟ are the output nodes. And the layout of this circuit is
given below in Fig-7.2. Y0 is the sum of two binary digits
and Y1 is the carry. Total power of above shown figure is
17.379 µw.
Fig-7.2: Layout: Lector based half adder
Fig-8: Timing simulation of Lector based Half Adder
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 98
Fig. shows the timing simulation of Half adder. In the given
simulation input „A‟ and „B‟ are given 1so, the outputs are
Y0= sum of input A and B;
= sum of 1 and 1 (1 & 1);
= 1+1; = 0;
Y1= carry of input A and B
= carry of the addition of 1 and 1; = 1;
So, the output (Y0, Y1) are (0,1) which is shown in
simulation. And total power in this case is 1.738 µw.
Fig.-9.1: Power supply Vs Dissipated power for Output Y1
Fig-9.2: Monte Carlo power dissipation simulation for output Y1
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 99
Both the above graph shows the graph between power
supply and power dissipation for Output Y1.Fig 9.1 Shows
that dissipated power of half adder for output Y1 is
0.017mw which is similar for Y0 there is not any
remarkable difference.Fig.9.2 shows the Monte Carlo power
dissipation simulation for output Y1 of half adder. And it is
also exactly same i.e. 0.017mw.
Fig-10: Power Supply Vs Propagation delay for Output Y1
Fig-10 shows the graph between Power supply and
propagation delay for output Y1 of half adder. And
propagation delay for Y1 is 0.109ns. The propagation delay
for output Y0 is 0.143ns.
Table2. Power Dissipation and Propagation Delay of different circuits
CIRCUIT TYPE POWER DISSIPATION(mw) PROPAGATION DELAY (ns)
Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3
STACK HALF
ADDER
0.013 0.013 -- -- 0.029 0.091 - -
LECTOR
HALF ADDER
0.017 0.017 -- -- 0.143 0.109 -- --
STACK HALF
SUBTRACTOR
0.012 0.012 - -- 0.052 0.293 -- --
LECTOR
HALF
SUBTRACTOR
0.016 0.016 -- -- 0.168 0.259 -- --
STACK
DECODER
0.028 0.028 0.028 0.028 0.493 0.472 0.087 0.406
LECTOR
DECODER
0.029 0.029 0.029 0.029 0.425 0.322 0.673 0.625
In the Table1 the values of Static power, total power and
delay of logic gates NAND, NOR & AND gate and their
respective stack logic gates and lector logic gates are given .
The values of logic gate and their respective stack logic
gates are taken from the paper Reduction Of Leakage
Power In CMOS Circuits Using Stack Technique by
Mansi Gangele & K. Pitanbar Patra published in
International journal of Modern Engineering Research
(IJMER), 5(5):1-8, 2015.It can be seen that both the
techniques LECTOR and STACK have reduced the leakage
power.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 100
In the Table2 Power dissipation and propagation delay of
Half Adder, Half Subtractor, and Decoder is calculated and
given in table. In all these circuits stack technique and lector
technique are used. All these circuits have four output nodes
and Power dissipation from a single node to different output
nodes is almost constant for each circuit. Maximum worst
case power dissipation for Stack Half Adder is 0.013mw, for
Lector Half Adder is 0.017mw, for Stack Half Subtractor
0.012mw, for Lector Half Subtractor 0.016mw and for stack
Decoder 0.028mw and for Lector Decoder is 0.029.
Propagation delay from a single node to different output
nodes is also calculated. Maximum delay from a specific
node for Stack Half Adder is 0.091ns to node Y1 Similarly
the maximum delay for Lector Half Adder is 0.143ns to
output node Y0, for Stack Half Subtractor is 0.293ns to node
Y1, for Lector Half Subtractor is 0.259ns to node Y1 and for
Stack Decoder is 0.493ns to node Y0 and for Lector Decoder
is 0.673ns to node Y2. Again the values of Stack circuits are
taken from the same paper.
4. CONCLUSION
It is clear from both the tables that while using Stack
technique we can save 40% power but in this case delay is
increased by 250 to 300%. And using Lector technique
power can be saved by 10 to 15% and delay is increased in
this case also but in this case delay is increased 150%.
So, from both the tables it is clear that Stack technique saves
more power as compare to Lector technique. But it delays
the output more as compare to Lector technique. So we can
use the technique accordingly as per our requirement as if
we want to get fast output but little leakage is tolerable than
we use Lector technique and we want to save the power and
bit delay is tolerable than use stack technique. But this is the
case only for small logic gates. It can be clearly seen in
table2 that for Half adder, Half subtractor and for Decoder
in stack technique leakage current as well as propagation
delay both are less as compare to Lector technique. So it can
be said for big circuits Stack is better option.
REFRENCES
[1] Reduction of Leakage Power in CMOS Circuits
Using Stack Technique‟ by Mansi Gangele &
K.Pitambar Patra Department Of ECE, RKDF
Institute Of Science & Technology, Bhopal/ RGPV
Bhopal, M.P.,India published in International Journal
of Modern Engineering Research (IJMER), 5(5):1-8,
2015.
[2] S. Narendra, V. D. S. Borkar, D. Antoniadis, and A.
Chandrakasan, “Scaling of stack effect and its
application for leakage reduction,” in Proc. IEEE
ISLPED, 2001, pp. 195–200, Aug. 2001.
[3] N. Hanchate and N.Ranganathan, “LECTOR: A
Technique for leakage reduction in CMOS circuits”,
IEEE Trans. VLSI Systems, vol. 12, pp.196-205, Feb.,
2004.
[4] Jae Woong Chun and C.Y. Roger Chen, “ A novel
Leakage power reduction technique for CMOS
Circuit design.” In IEEE, ISOCC 2010, pp. 119-122
[5] P. Verma, R. A. Mishra, “Leakage power and delay
analysis of LECTOR based CMOS circuits”, Int‟l
conf. on computer & communication technology
ICCCT 2011.

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IJRET Comparative Analysis of LECTOR and STACK Technique to Reduce Leakage Current

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 92 COMPARATIVE ANALYSIS OF LECTOR AND STACK TECHNIQUE TO REDUCE THE LEAKAGE CURRENT IN CMOS CIRCUITS Mansi Gangele1 , K. Pitambar Patra2 1 M.Tech Scholar, Department of ECE, RKDF Institute Of Science & Technology,RGPV Bhopal, M.P., India 2 Assistance Professor, Department of ECE, RKDF Institute Of Science & Technology, RGPV Bhopal, M.P., India Abstract CMOS is the latest technology available in today’s world. And the biggest advantage of this technology is it does not consume any power. So the total power consumption is dependent on its leakage power. Since leakage exists in the circuit even if it is in stand by state i.e. the state in which gate of the circuit is not getting power supply. So the power loss in the circuit is high. And that’s why our major concern is to reduce the leakage current in the circuit. Varieties of different techniques are available to reduce the leakage current and still continue to derive more, better techniques. In this paper two different techniques LECTOR and STACK technique which are based on the same principle have been comparatively analyzed. Keywords: Delay, Leakage current, Lector technique, Stack technique. ----------------------------------------------------------------------***-------------------------------------------------------------------- 1. INTRODUCTION As we are using nano design in the CMOS technology threshold voltage is decreasing because of which leakage current is exponentially increasing. IO α (e-qVt/ƞKT ) To reduce the leakage current so many techniques are available at the cost of other parameters such as dynamic power, reliability, delay etc. which in turn affects the switching performance of the circuit. We use these techniques as per our requirement. LECTOR and STACK techniques are the two techniques which reduce the leakage power without increasing the dynamic power. In this paper LECTOR technique is implemented on logic gates NAND & NOR and half adder, half subtractor and decoder. And then this technique is compared to the STACK technique. 2. RELATED WORK Many techniques have already been discussed to reduce the leakage current in the nano scale design in CMOS circuits. In the paper entitled „Design of Leakage Power Reduced Static RAM using LECTOR‟ published by B. Dilip, P. Surya Prasad, Dept. of ECE, MVGR College of Engineering, Andhra Pradesh, India in journal (IJCSIT) International Journal of Computer Science and Information Technologies, Vol. 3 (3) LECTOR is a technique for designing CMOS circuits in order to reduce the leakage current without affecting the dynamic power dissipation, which made LECTOR a better technique in leakage power reduction when compared to all other existing leakage reduction techniques. This paper presents the analysis for leakage current in Static RAM implementing LECTOR technique. In another paper entitled „Reduction of Leakage Power in CMOS Circuits Using Stack Technique‟ by Mansi Gangele & K. Pitambar Patra Department Of ECE, RKDF Institute Of Science & Technology, Bhopal/ RGPV Bhopal, M.P, India published in International Journal of Modern Engineering Research (IJMER), 5(5):1-8, 2015 STACK technique is proposed. According to M. D. Powell, S.-H. Yang, B. Falsafi, K. Roy, and T. N. Vijaykumar, “Gated-Vdd: A circuit technique to reduce leakage in deep submicron cache memories,” in Proc. IEEE ISLPED, 2000, pp. 90–95, Power gating technique uses additional transistors, called sleep transistors, which are inserted in series between the power supply and pull-up (PMOS) network and/or between pull-down (NMOS) network and ground to reduce the standby leakage currents. The sleep transistors are turned on when circuits are in active mode and turned off when circuits are in standby mode. By disconnecting the logic networks from the power supply and/or ground using sleep transistors, this technique reduces the leakage power in standby mode. 3. METHODOLOGY & IMPLEMENTATION 3.1 Stack Effect When any state has more than one OFF transistors in the path from power supply to ground then it is less leaky as compare to the state which has only one OFF transistor in the same path. And this effect is known as Stack effect. Stack technology and Lector technology both are based on this effect
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 93 Fig-1: CMOS NOR GATE Fig-1 shows the CMOS nor gate. It has two PMOS transistors which are connected in series and two NMOS transistors which are connected in parallel. And the combination of both PMOS and NMOS transistors are connected in series and output is taken from the joint node. 3.2 Stack Technique Stack technique is the technique where instead of each and every one PMOS or NMOS transistors two PMOS or NMOS transistors of half width are used respectively. These two transistors either PMOS or NMOS are connected in series. Fig-2: STACK NOR GATE Fig-2: shows the circuit diagram of Stack based two input NOR gate. Basically in simple CMOS NOR gate two PMOS and two NMOS transistors are used but In this Stack NOR gate four PMOS and four NMOS are used. 3.3 Lector Technique Basic principle behind this technique is stack effect only. In this technique two extra transistors (one PMOS and one NMOS) are introduced between pull down and pull up network. These two transistors are self controlled transistors and are called Leakage Control Transistors (LCT). The gate of each LCT is controlled by the source of other. And because of this kind of arrangement one of the LCT always remains in its near cut off region. Fig-3: LECTOR BASED NOR GATE Fig-3: shows the circuit diagram of Lector based two input NOR gate. In this circuit „A‟ and „B‟ are input nodes and „Y‟ is output node. Two PMOS transistors are connected in series and two NMOS transistors are connected in parallel. And two series connected transistors M1 (PMOS) and M2 (NMOS) which are Leakage Control Transistors (LCTs) are connected between pull down and pull up network. Gate terminal of M1 is connected to source of M2 and gate of M2 is connected to source of M1.
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 94 Fig-4: Timing simulation of Lector based nor gate Table1: Static power, Total power and delay of NAND NOR & AND gate and their Lector and Stack gates GATE TYPE STATIC POWER (µW) TOTAL POWER(µW) DELAY (ns) (0,0) (0,1) (1,0) (1,1) NAND 0.185 0.252 0.185 1nw 2.094 0 .029 LECTOR NAND 0.391 0.391 0.399 0nw 1.871 0.033 STACK NAND 0.248 0.278 0.173 0nw 1.333 0.101 NOR 0.358 0.165 0nw 0nw 2.017 0.013 LECTOR NOR 0.418 0.418 0nw 0nw 1.946 0.074 STACK NOR 0.342 0.166 0nw 0nw 1.195 0.044 AND 0.643 0.761 0.688 0.119 6.407 0.024 LECTOR AND 0.971 0.983 0.991 0.342 5.015 0.059 STACK AND 0.769 0.719 0.810 0.148 3.878 0.097 Fig-4 shows the analog simulation of Lector based NOR gate. In this circuit output „Y‟ is high when both the inputs „A‟,‟B‟ are low. And as shown in the simulation static power at this time is 0.418µw. Total power is 1.946 µw.
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 95 : Fig-5.1: Power supply (Vdds) Vs Dissipated power Fig-5.2: Monte Carlo simulation of power dissipation In the above figures graph power supply vs dissipated power and other is M. carlo simulation of power supply Vs dissipated power respectively is shown. From node „A‟ to „Y‟ power is very negligible i.e.0.002mw and same is the power in M.carlo simulation.
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 96 Fig-6: Power Supply (Vdds) Vs Rise delay In the above fig. graph Power supply Vs Rise delay is shown. And the delay from node „A‟ to „Y‟ is 0.074. Fig-7.1: Lector based half adder
  • 6. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 97 Fig-7.1 shows the circuit diagram of Lector based Half adder with „A‟ and „B‟ are the input nodes and „Y0‟ and „Y1‟ are the output nodes. And the layout of this circuit is given below in Fig-7.2. Y0 is the sum of two binary digits and Y1 is the carry. Total power of above shown figure is 17.379 µw. Fig-7.2: Layout: Lector based half adder Fig-8: Timing simulation of Lector based Half Adder
  • 7. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 98 Fig. shows the timing simulation of Half adder. In the given simulation input „A‟ and „B‟ are given 1so, the outputs are Y0= sum of input A and B; = sum of 1 and 1 (1 & 1); = 1+1; = 0; Y1= carry of input A and B = carry of the addition of 1 and 1; = 1; So, the output (Y0, Y1) are (0,1) which is shown in simulation. And total power in this case is 1.738 µw. Fig.-9.1: Power supply Vs Dissipated power for Output Y1 Fig-9.2: Monte Carlo power dissipation simulation for output Y1
  • 8. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 99 Both the above graph shows the graph between power supply and power dissipation for Output Y1.Fig 9.1 Shows that dissipated power of half adder for output Y1 is 0.017mw which is similar for Y0 there is not any remarkable difference.Fig.9.2 shows the Monte Carlo power dissipation simulation for output Y1 of half adder. And it is also exactly same i.e. 0.017mw. Fig-10: Power Supply Vs Propagation delay for Output Y1 Fig-10 shows the graph between Power supply and propagation delay for output Y1 of half adder. And propagation delay for Y1 is 0.109ns. The propagation delay for output Y0 is 0.143ns. Table2. Power Dissipation and Propagation Delay of different circuits CIRCUIT TYPE POWER DISSIPATION(mw) PROPAGATION DELAY (ns) Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3 STACK HALF ADDER 0.013 0.013 -- -- 0.029 0.091 - - LECTOR HALF ADDER 0.017 0.017 -- -- 0.143 0.109 -- -- STACK HALF SUBTRACTOR 0.012 0.012 - -- 0.052 0.293 -- -- LECTOR HALF SUBTRACTOR 0.016 0.016 -- -- 0.168 0.259 -- -- STACK DECODER 0.028 0.028 0.028 0.028 0.493 0.472 0.087 0.406 LECTOR DECODER 0.029 0.029 0.029 0.029 0.425 0.322 0.673 0.625 In the Table1 the values of Static power, total power and delay of logic gates NAND, NOR & AND gate and their respective stack logic gates and lector logic gates are given . The values of logic gate and their respective stack logic gates are taken from the paper Reduction Of Leakage Power In CMOS Circuits Using Stack Technique by Mansi Gangele & K. Pitanbar Patra published in International journal of Modern Engineering Research (IJMER), 5(5):1-8, 2015.It can be seen that both the techniques LECTOR and STACK have reduced the leakage power.
  • 9. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 07 | July-2015, Available @ http://www.ijret.org 100 In the Table2 Power dissipation and propagation delay of Half Adder, Half Subtractor, and Decoder is calculated and given in table. In all these circuits stack technique and lector technique are used. All these circuits have four output nodes and Power dissipation from a single node to different output nodes is almost constant for each circuit. Maximum worst case power dissipation for Stack Half Adder is 0.013mw, for Lector Half Adder is 0.017mw, for Stack Half Subtractor 0.012mw, for Lector Half Subtractor 0.016mw and for stack Decoder 0.028mw and for Lector Decoder is 0.029. Propagation delay from a single node to different output nodes is also calculated. Maximum delay from a specific node for Stack Half Adder is 0.091ns to node Y1 Similarly the maximum delay for Lector Half Adder is 0.143ns to output node Y0, for Stack Half Subtractor is 0.293ns to node Y1, for Lector Half Subtractor is 0.259ns to node Y1 and for Stack Decoder is 0.493ns to node Y0 and for Lector Decoder is 0.673ns to node Y2. Again the values of Stack circuits are taken from the same paper. 4. CONCLUSION It is clear from both the tables that while using Stack technique we can save 40% power but in this case delay is increased by 250 to 300%. And using Lector technique power can be saved by 10 to 15% and delay is increased in this case also but in this case delay is increased 150%. So, from both the tables it is clear that Stack technique saves more power as compare to Lector technique. But it delays the output more as compare to Lector technique. So we can use the technique accordingly as per our requirement as if we want to get fast output but little leakage is tolerable than we use Lector technique and we want to save the power and bit delay is tolerable than use stack technique. But this is the case only for small logic gates. It can be clearly seen in table2 that for Half adder, Half subtractor and for Decoder in stack technique leakage current as well as propagation delay both are less as compare to Lector technique. So it can be said for big circuits Stack is better option. REFRENCES [1] Reduction of Leakage Power in CMOS Circuits Using Stack Technique‟ by Mansi Gangele & K.Pitambar Patra Department Of ECE, RKDF Institute Of Science & Technology, Bhopal/ RGPV Bhopal, M.P.,India published in International Journal of Modern Engineering Research (IJMER), 5(5):1-8, 2015. [2] S. Narendra, V. D. S. Borkar, D. Antoniadis, and A. Chandrakasan, “Scaling of stack effect and its application for leakage reduction,” in Proc. IEEE ISLPED, 2001, pp. 195–200, Aug. 2001. [3] N. Hanchate and N.Ranganathan, “LECTOR: A Technique for leakage reduction in CMOS circuits”, IEEE Trans. VLSI Systems, vol. 12, pp.196-205, Feb., 2004. [4] Jae Woong Chun and C.Y. Roger Chen, “ A novel Leakage power reduction technique for CMOS Circuit design.” In IEEE, ISOCC 2010, pp. 119-122 [5] P. Verma, R. A. Mishra, “Leakage power and delay analysis of LECTOR based CMOS circuits”, Int‟l conf. on computer & communication technology ICCCT 2011.