scholarly journals Floating Point Multiplication Based on Schonhage Strassen Algorithm

2018 ◽  
Vol 7 (2.20) ◽  
pp. 14
Author(s):  
B Srikanth ◽  
M Siva Kumar ◽  
K Hari Kishore
Keyword(s):  
Fixed Point ◽  
Real Time ◽  
Floating Point ◽  
Single Precision ◽  
Point Multiplication ◽  
Multiplication Algorithm ◽  
Integer Multiplication

In this paper, the single precision float point multiplication is performed using the Schonhage Strassen Algorithm. There are several types of floating point multiplications like Karatsubha and Toom cook. The Schonhage Strassen algorithm is conventionally a fixed point integer multiplication algorithm. The main advantage of the Schonhage Strassen multiplication is that, the multiplication of integer values greater than 5 digits ranging from 2215 to 2217 bit values proves to be efficient. The validation of the proposed floating point multiplication is done using FPGA real time implementation. The analysis of parameters like area and power are evaluated.  

scholarly journals NULL Convention Floating Point Multiplier

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Anitha Juliette Albert ◽  
Seshasayanan Ramachandran
Keyword(s):  
High Precision ◽  
Dynamic Range ◽  
Digital Signal ◽  
High Dynamic Range ◽  
Floating Point ◽  
Single Precision ◽  
Critical Part ◽  
Point Multiplication ◽  
Null Convention Logic ◽  
High Dynamic

Floating point multiplication is a critical part in high dynamic range and computational intensive digital signal processing applications which require high precision and low power. This paper presents the design of an IEEE 754 single precision floating point multiplier using asynchronous NULL convention logic paradigm. Rounding has not been implemented to suit high precision applications. The novelty of the research is that it is the first ever NULL convention logic multiplier, designed to perform floating point multiplication. The proposed multiplier offers substantial decrease in power consumption when compared with its synchronous version. Performance attributes of the NULL convention logic floating point multiplier, obtained from Xilinx simulation and Cadence, are compared with its equivalent synchronous implementation.

A Real-Time Sequence Detection Algorithm for Floating Point Unit Design

2014 ◽  
Vol 687-691 ◽  
pp. 3494-3497
Author(s):  
Wei Sun ◽  
Jun She An ◽  
Shuang Yang
Keyword(s):  
Fixed Point ◽  
Real Time ◽  
Detection Algorithm ◽  
Time Sequence ◽  
Floating Point ◽  
Design Data ◽  
Sequence Detection ◽  
Unit Design ◽  
Floating Point Unit ◽  
Short Time

Sequence detection is used in many algorithms and applications. Sequences are different depending on different demands. In the process of floating-point CORDIC coprocessor design,data are need to change from floating point format to fixed point format. This process is necessary to detect the number of consecutive zeros. We design the leading-zero-counting algorithm to achieve this function, and this conversion process is completed in a very fixed short time, to ensure the needs of the floating point CORDIC coprocessor.

scholarly journals Design and Implementation of FPU for Optimised Speed

2020 ◽  
Vol 9 (3) ◽  
pp. 3922-3933
Keyword(s):  
Energy Efficient ◽  
High Speed ◽  
Software Tool ◽  
Digital Signal ◽  
Floating Point ◽  
Double Precision ◽  
Arithmetic Unit ◽  
Single Precision ◽  
Point Multiplication ◽  
Floating Point Unit

Currently, each CPU has one or additional Floating Point Units (FPUs) integrated inside it. It is usually utilized in math wide-ranging applications, such as digital signal processing. It is found in places be established in engineering, medical and military fields in adding along to in different fields requiring audio, image or video handling. A high-speed and energy-efficient floating point unit is naturally needed in the electronics diligence as an arithmetic unit in microprocessors. The most operations accounting 95% of conformist FPU are multiplication and addition. Many applications need the speedy execution of arithmetic operations. In the existing system, the FPM(Floating Point Multiplication) and FPA(Floating Point Addition) have more delay and fewer speed and fewer throughput. The demand for high speed and throughput intended to design the multiplier and adder blocks within the FPM (Floating point multiplication)and FPA(Floating Point Addition) in a format of single precision floating point and double-precision floating point operation is internally pipelined to achieve high throughput and these are supported by the IEEE 754 standard floating point representations. This is designed with the Verilog code using Xilinx ISE 14.5 software tool is employed to code and verify the ensuing waveforms of the designed code

scholarly journals Implementation of Audio CODEC with a Novel Design Methodology

2019 ◽  
Vol 9 (1) ◽  
pp. 2675-2679
Keyword(s):  
Fixed Point ◽  
Real Time ◽  
Discrete Time ◽  
Design Methodology ◽  
Floating Point ◽  
Time Signal ◽  
Sigma Delta ◽  
Dsp System ◽  
Sigma Delta Adc ◽  
Novel Design

Currently in the real-time audio applications fixed point CODEC is being used. But the major disadvantage of such CODEC is the speed and accuracy. Because , as the DSP systems cannot be operated with real-time signal ‘t’, but they can be operated with the discrete time ‘n’ , the real-time analog signal x(t) is to be converted into discrete time signal x(n) by the analog to digital convert (ADC). The most widely used ADC in the signal processing environment is sigma-delta ADC. But, it can operate with the maximum speed of 1MHz. The DSP processor can give several times more speed than sigma-delta ADC. Hence, the speed of DSP system is being limited by sigma-delta ADC, even though the DSP system has the capability to operate with great speed. Similarly, the accuracy is being missed because the floating point samples are converted into fixed point to get the compatibility with fixed point DSP processor. To eliminate these two bottlenecks the novel design methodology has been proposed in which the ADC and DAC have been eliminated and the system is developed by the 16 bit floating point.

scholarly journals Design of High Speed 32-bit Floating Point Multiplier using Urdhva Triyagbhyam Sutra of Vedic Mathematics

2019 ◽  
Vol 8 (2S3) ◽  
pp. 1064-1067
Keyword(s):  
High Speed ◽  
Floating Point ◽  
Single Precision ◽  
Point Multiplication ◽  
Vedic Mathematics ◽  
Design And Implementation ◽  
Minimum Delay ◽  
Dsp Applications

Multiplication of floating point(FP) numbers is greatly significant in many DSP applications. The performance of the DSP’s is substantially decided by the speed of the multipliers used. This paper proposes the design and implementation of IEEE 754 standard single precision FP multiplier using Verilog, synthesized and simulated in Xilinx ISE10.1. Urdhva Triyagbhyam Sutra of Vedic mathematics is used for the unsigned mantissa calculation. The design implements floating point multiplication with sign bit and exponent calculations. The proposed design is achieved high speed with minimum delay of 3.997ns.Multiplication of floating point(FP) numbers is greatly significant in many DSP applications. The performance of the DSP’s is substantially decided by the speed of the multipliers used. This paper proposes the design and implementation of IEEE 754 standard single precision FP multiplier using Verilog, synthesized and simulated in Xilinx ISE10.1. Urdhva Triyagbhyam Sutra of Vedic mathematics is used for the unsigned mantissa calculation. The design implements floating point multiplication with sign bit and exponent calculations. The proposed design is achieved high speed with minimum delay of 3.997ns.

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