IEEE Circuits and Systems Magazine - Q4 2021 - 32

adder (ORA) according to whether discarding the horizontal
carry or not; the reconfigurable adder 2 (RA2)
can be configured as an FA and an AND-gate based adTable
II.
Configurations of proposed multiplier
with FA, RA1 and RA2.
Multiplier
10 × 10 bits
12 × 10 bits
16 × 10 bits
FA
20
24
32
Number of Cells
RA1
34
38
46
RA2
6
6
6
der (ANDA) according to whether discarding the vertical
carry or not. For the trade-off between accuracy and
power reduction, HDL and VDL can be dynamically reconfigured
to satisfy different calculation requirements.
When an ORA or an ANDA is working, an FA can be rejected
directly by system clock gating, and only a little
leakage power is required.
Besides, we propose a precision reconfigurable approximate
addition architecture based on Dual-Vdd. For
the 8-stage pipelined FFT, the bit-width configuration of
each type of adder is shown in Fig. 5(b). Fig. 5(b) shows
the proposed approximate addition architecture consisting
of the FAs for the most significant bits (MSBs)
0.4
0.332
0.3
63.9%
0.2
84.9%
0.12
0.1
0.05
1
FA
ORA
(a)
35
40
30
25
20
15
10
5
Precise
Multiplier
Proposed
(Approximate)
(c)
Proposed
(Dual-Vdd)
32.76
36.3%
20.87
18.61
43.2%
300
250
200
150
100
50
Precise
FFT Module
Proposed
(Approximate)
(d)
Figure 6. Power consumption breakdown and analysis: (a) 1-bit adder; (b) proposed approximate adder; (c) proposed approximate
multiplier; (d) the adopted FFT module.
32
IEEE CIRCUITS AND SYSTEMS MAGAZINE
FOURTH QUARTER 2021
Proposed
(Dual-Vdd)
500
400
450
350
306
262
496
38.3%
47.2%
ANDA
Precise
Adder
Proposed
(Approximate)
(b)
Proposed
(Dual-Vdd)
7
8
6
5
4
3
2
7.34
30.1%
5.13
39.4%
4.45
Power (nW)
Power (nW)
Power (nW)
Power (nW)

IEEE Circuits and Systems Magazine - Q4 2021

Table of Contents for the Digital Edition of IEEE Circuits and Systems Magazine - Q4 2021

Contents
IEEE Circuits and Systems Magazine - Q4 2021 - Cover1
IEEE Circuits and Systems Magazine - Q4 2021 - Cover2
IEEE Circuits and Systems Magazine - Q4 2021 - Contents
IEEE Circuits and Systems Magazine - Q4 2021 - 2
IEEE Circuits and Systems Magazine - Q4 2021 - 3
IEEE Circuits and Systems Magazine - Q4 2021 - 4
IEEE Circuits and Systems Magazine - Q4 2021 - 5
IEEE Circuits and Systems Magazine - Q4 2021 - 6
IEEE Circuits and Systems Magazine - Q4 2021 - 7
IEEE Circuits and Systems Magazine - Q4 2021 - 8
IEEE Circuits and Systems Magazine - Q4 2021 - 9
IEEE Circuits and Systems Magazine - Q4 2021 - 10
IEEE Circuits and Systems Magazine - Q4 2021 - 11
IEEE Circuits and Systems Magazine - Q4 2021 - 12
IEEE Circuits and Systems Magazine - Q4 2021 - 13
IEEE Circuits and Systems Magazine - Q4 2021 - 14
IEEE Circuits and Systems Magazine - Q4 2021 - 15
IEEE Circuits and Systems Magazine - Q4 2021 - 16
IEEE Circuits and Systems Magazine - Q4 2021 - 17
IEEE Circuits and Systems Magazine - Q4 2021 - 18
IEEE Circuits and Systems Magazine - Q4 2021 - 19
IEEE Circuits and Systems Magazine - Q4 2021 - 20
IEEE Circuits and Systems Magazine - Q4 2021 - 21
IEEE Circuits and Systems Magazine - Q4 2021 - 22
IEEE Circuits and Systems Magazine - Q4 2021 - 23
IEEE Circuits and Systems Magazine - Q4 2021 - 24
IEEE Circuits and Systems Magazine - Q4 2021 - 25
IEEE Circuits and Systems Magazine - Q4 2021 - 26
IEEE Circuits and Systems Magazine - Q4 2021 - 27
IEEE Circuits and Systems Magazine - Q4 2021 - 28
IEEE Circuits and Systems Magazine - Q4 2021 - 29
IEEE Circuits and Systems Magazine - Q4 2021 - 30
IEEE Circuits and Systems Magazine - Q4 2021 - 31
IEEE Circuits and Systems Magazine - Q4 2021 - 32
IEEE Circuits and Systems Magazine - Q4 2021 - 33
IEEE Circuits and Systems Magazine - Q4 2021 - 34
IEEE Circuits and Systems Magazine - Q4 2021 - 35
IEEE Circuits and Systems Magazine - Q4 2021 - 36
IEEE Circuits and Systems Magazine - Q4 2021 - 37
IEEE Circuits and Systems Magazine - Q4 2021 - 38
IEEE Circuits and Systems Magazine - Q4 2021 - 39
IEEE Circuits and Systems Magazine - Q4 2021 - 40
IEEE Circuits and Systems Magazine - Q4 2021 - 41
IEEE Circuits and Systems Magazine - Q4 2021 - 42
IEEE Circuits and Systems Magazine - Q4 2021 - 43
IEEE Circuits and Systems Magazine - Q4 2021 - 44
IEEE Circuits and Systems Magazine - Q4 2021 - 45
IEEE Circuits and Systems Magazine - Q4 2021 - 46
IEEE Circuits and Systems Magazine - Q4 2021 - 47
IEEE Circuits and Systems Magazine - Q4 2021 - 48
IEEE Circuits and Systems Magazine - Q4 2021 - 49
IEEE Circuits and Systems Magazine - Q4 2021 - 50
IEEE Circuits and Systems Magazine - Q4 2021 - 51
IEEE Circuits and Systems Magazine - Q4 2021 - 52
IEEE Circuits and Systems Magazine - Q4 2021 - Cover3
IEEE Circuits and Systems Magazine - Q4 2021 - Cover4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2023Q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2023Q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2023Q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2022Q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2022Q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2022Q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2022Q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2021Q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2021q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2021q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2021q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2020q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2020q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2020q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2020q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2019q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2019q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2019q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2019q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2018q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2018q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2018q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2018q1
https://www.nxtbookmedia.com