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Area/latency optimized early output asynchronous full adders and relative-timed ripple carry adders
Get PDFThis article presents two area/latency optimized gate level asynchronous full
adder designs which correspond to early output logic. The proposed full adders
are constructed using the delay-insensitive dual-rail code and adhere to the
four-phase return-to-zero handshaking. For an asynchronous ripple carry adder
(RCA) constructed using the proposed early output full adders, the
relative-timing assumption becomes necessary and the inherent advantages of the
relative-timed RCA are: (1) computation with valid inputs, i.e., forward
latency is data-dependent, and (2) computation with spacer inputs involves a
bare minimum constant reverse latency of just one full adder delay, thus
resulting in the optimal cycle time. With respect to different 32-bit RCA
implementations, and in comparison with the optimized strong-indication,
weak-indication, and early output full adder designs, one of the proposed early
output full adders achieves respective reductions in latency by 67.8, 12.3 and
6.1 %, while the other proposed early output full adder achieves corresponding
reductions in area by 32.6, 24.6 and 6.9 %, with practically no power penalty.
Further, the proposed early output full adders based asynchronous RCAs enable
minimum reductions in cycle time by 83.4, 15, and 8.8 % when considering
carry-propagation over the entire RCA width of 32-bits, and maximum reductions
in cycle time by 97.5, 27.4, and 22.4 % for the consideration of a typical
carry chain length of 4 full adder stages, when compared to the least of the
cycle time estimates of various strong-indication, weak-indication, and early
output asynchronous RCAs of similar size. All the asynchronous full adders and
RCAs were realized using standard cells in a semi-custom design fashion based
on a 32/28 nm CMOS process technology
Asynchronous Early Output Dual-Bit Full Adders Based on Homogeneous and Heterogeneous Delay-Insensitive Data Encoding
Get PDFThis paper presents the designs of asynchronous early output dual-bit full
adders without and with redundant logic (implicit) corresponding to homogeneous
and heterogeneous delay-insensitive data encoding. For homogeneous
delay-insensitive data encoding only dual-rail i.e. 1-of-2 code is used, and
for heterogeneous delay-insensitive data encoding 1-of-2 and 1-of-4 codes are
used. The 4-phase return-to-zero protocol is used for handshaking. To
demonstrate the merits of the proposed dual-bit full adder designs, 32-bit
ripple carry adders (RCAs) are constructed comprising dual-bit full adders. The
proposed dual-bit full adders based 32-bit RCAs incorporating redundant logic
feature reduced latency and area compared to their non-redundant counterparts
with no accompanying power penalty. In comparison with the weakly indicating
32-bit RCA constructed using homogeneously encoded dual-bit full adders
containing redundant logic, the early output 32-bit RCA comprising the proposed
homogeneously encoded dual-bit full adders with redundant logic reports
corresponding reductions in latency and area by 22.2% and 15.1% with no
associated power penalty. On the other hand, the early output 32-bit RCA
constructed using the proposed heterogeneously encoded dual-bit full adder
which incorporates redundant logic reports respective decreases in latency and
area than the weakly indicating 32-bit RCA that consists of heterogeneously
encoded dual-bit full adders with redundant logic by 21.5% and 21.3% with nil
power overhead. The simulation results obtained are based on a 32/28nm CMOS
process technology
Redundant Logic Insertion and Fault Tolerance Improvement in Combinational Circuits
Full text linkThis paper presents a novel method to identify and insert redundant logic
into a combinational circuit to improve its fault tolerance without having to
replicate the entire circuit as is the case with conventional redundancy
techniques. In this context, it is discussed how to estimate the fault masking
capability of a combinational circuit using the truth-cum-fault enumeration
table, and then it is shown how to identify the logic that can introduced to
add redundancy into the original circuit without affecting its native
functionality and with the aim of improving its fault tolerance though this
would involve some trade-off in the design metrics. However, care should be
taken while introducing redundant logic since redundant logic insertion may
give rise to new internal nodes and faults on those may impact the fault
tolerance of the resulting circuit. The combinational circuit that is
considered and its redundant counterparts are all implemented in semi-custom
design style using a 32/28nm CMOS digital cell library and their respective
design metrics and fault tolerances are compared
Indicating Asynchronous Array Multipliers
Full text linkMultiplication is an important arithmetic operation that is frequently
encountered in microprocessing and digital signal processing applications, and
multiplication is physically realized using a multiplier. This paper discusses
the physical implementation of many indicating asynchronous array multipliers,
which are inherently elastic and modular and are robust to timing, process and
parametric variations. We consider the physical realization of many indicating
asynchronous array multipliers using a 32/28nm CMOS technology. The
weak-indication array multipliers comprise strong-indication or weak-indication
full adders, and strong-indication 2-input AND functions to realize the partial
products. The multipliers were synthesized in a semi-custom ASIC design style
using standard library cells including a custom-designed 2-input C-element. 4x4
and 8x8 multiplication operations were considered for the physical
implementations. The 4-phase return-to-zero (RTZ) and the 4-phase return-to-one
(RTO) handshake protocols were utilized for data communication, and the
delay-insensitive dual-rail code was used for data encoding. Among several
weak-indication array multipliers, a weak-indication array multiplier utilizing
a biased weak-indication full adder and the strong-indication 2-input AND
function is found to have reduced cycle time and power-cycle time product with
respect to RTZ and RTO handshaking for 4x4 and 8x8 multiplications. Further,
the 4-phase RTO handshaking is found to be preferable to the 4-phase RTZ
handshaking for achieving enhanced optimizations of the design metrics.Comment: arXiv admin note: text overlap with arXiv:1903.0943
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