Area‐ and power‐efficient iterative single/double‐precision merged floating‐point multiplier on FPGA

2017 ◽  
Vol 11 (4) ◽  
pp. 149-158 ◽  
Author(s):  
Hao Zhang ◽  
Dongdong Chen ◽  
Seok‐Bum Ko
Keyword(s):  
Floating Point ◽  
Double Precision ◽  
Power Efficient

scholarly journals Double Precision Floating Point Fft Processor using Vedic Mathematics

2019 ◽  
Vol 8 (4) ◽  
pp. 8533-8538
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Floating Point ◽  
Double Precision ◽  
Power Efficient ◽  
Vedic Mathematics ◽  
Communication Signal ◽  
Fft Processor ◽  
Complex Multiplications ◽  
Point Fast Fourier Transform

There should be rapid, efficient and simple process for every scenario now a day. To compute the N point DFT, Fast Fourier Transform (FFT) is a productive algorithm. It has great applications in communication, signal and image processing and instrumentation. In the implementation of FFT one of the challenges is the complex multiplications, so to make this process rapid and simple it’s necessary for a multiplier to be fast and power efficient. To tackle this problem Karatsuba sutra and Nikhilam sutra are an efficient method of multiplication in Vedic Mathematics. This paper will present a design methodology of Double Precision Floating Point Fast Fourier Transform (FFT) Processor.The execution time and complexity can be reduced by the algorithm which is there in Vedic.The main aim is to make FFT Processor process rapid and simple by designing a multiplier which is fast and power efficient by using double precision floating point and Vedic Mathematics concepts.

scholarly journals Area and Power Efficient Fused Floating-point Dot Product Unit based on Radix-2r Multiplier & Pipeline Feedforward-Cutset-Free Carry-Lookahead Adder

2021 ◽  
Vol 9 (2) ◽  
pp. 782-788
Author(s):  
M. Madhu Babu, K. Rama Naidu
Keyword(s):  
Power Consumption ◽  
Execution Time ◽  
Floating Point ◽  
Double Precision ◽  
Power Efficient ◽  
Dot Product ◽  
Power Delay Product ◽  
Dsp Applications ◽  
Standard Library

Fused floating point operations play a major role in many DSP applications to reduce operational area & power consumption. Radix-2r multiplier (using 7-bit encoder technique) & pipeline feedforward-cutset-free carry-lookahead  adder(PFCF-CLA) are used to enhance the traditional FDP unit. Pipeline concept is also infused into system to get the desired pipeline fused floating-point dot product (PFFDP) operations. Synthesis results are obtained using 60nm standard library with 1GHz clock. Power consumption of single & double precision operations are 2.24mW & 3.67mW respectively. The die areas are 27.48 mm2 , 46.72mm2 with an execution time of 1.91 ns , 2.07 ns for a single & double precision operations respectively. Comparison with previous data has also been performed. The area-delay product(ADP) & power-delay product(PDP) of our proposed architecture are 18%,22% & 27%,18% for single and double precision operations respectively.

scholarly journals Research on IEEE 754 Standard Single Precision Floating Point Multipliers Designed using Urdhva Triyagbhyam Sutra of Vedic Mathematics

2019 ◽  
Vol 8 (2S11) ◽  
pp. 2990-2993
Keyword(s):  
Floating Point ◽  
Double Precision ◽  
Single Precision ◽  
Vedic Mathematics ◽  
Quadruple Precision

Duplication of the coasting element numbers is the big activity in automated signal handling. So the exhibition of drifting problem multipliers count on a primary undertaking in any computerized plan. Coasting factor numbers are spoken to utilizing IEEE 754 modern day in single precision(32-bits), Double precision(sixty four-bits) and Quadruple precision(128-bits) organizations. Augmentation of those coasting component numbers can be completed via using Vedic generation. Vedic arithmetic encompass sixteen wonderful calculations or Sutras. Urdhva Triyagbhyam Sutra is most usually applied for growth of twofold numbers. This paper indicates the compare of tough work finished via exceptional specialists in the direction of the plan of IEEE 754 ultra-modern-day unmarried accuracy skimming thing multiplier the usage of Vedic technological statistics.

DPF-ECC: A Framework for Efficient ECC with Double Precision Floating-Point Computing Power

2021 ◽  
pp. 1-1
Author(s):  
Lili Gao ◽  
Fangyu Zheng ◽  
Rong Wei ◽  
Jiankuo Dong ◽  
Niall Emmart ◽  
...  
Keyword(s):  
Floating Point ◽  
Double Precision ◽  
Computing Power

Operational Single-Precision Earth-System Modelling at ECMWF

2021 ◽  
Author(s):  
Sam Hatfield ◽  
Kristian Mogensen ◽  
Peter Dueben ◽  
Nils Wedi ◽  
Michail Diamantakis
Keyword(s):  
Atmospheric Model ◽  
Floating Point ◽  
System Modelling ◽  
Double Precision ◽  
Earth System ◽  
Single Precision ◽  
System Models ◽  
Floating Point Arithmetic ◽  
Point Arithmetic ◽  
Earth System Models

<p>Earth-System models traditionally use double-precision, 64 bit floating-point numbers to perform arithmetic. According to orthodoxy, we must use such a relatively high level of precision in order to minimise the potential impact of rounding errors on the physical fidelity of the model. However, given the inherently imperfect formulation of our models, and the computational benefits of lower precision arithmetic, we must question this orthodoxy. At ECMWF, a single-precision, 32 bit variant of the atmospheric model IFS has been undergoing rigorous testing in preparation for operations for around 5 years. The single-precision simulations have been found to have effectively the same forecast skill as the double-precision simulations while finishing in 40% less time, thanks to the memory and cache benefits of single-precision numbers. Following these positive results, other modelling groups are now also considering single-precision as a way to accelerate their simulations.</p><p>In this presentation I will present the rationale behind the move to lower-precision floating-point arithmetic and up-to-date results from the single-precision atmospheric model at ECMWF, which will be operational imminently. I will then provide an update on the development of the single-precision ocean component at ECMWF, based on the NEMO ocean model, including a verification of quarter-degree simulations. I will also present new results from running ECMWF's coupled atmosphere-ocean-sea-ice-wave forecasting system entirely with single-precision. Finally I will discuss the feasibility of even lower levels of precision, like half-precision, which are now becoming available through GPU- and ARM-based systems such as Summit and Fugaku, respectively. The use of reduced-precision floating-point arithmetic will be an essential consideration for developing high-resolution, storm-resolving Earth-System models.</p>

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