Sign extension bit minimisation algorithm for designing VLSI inner-product-processor cells for DSP applications

1998 ◽  
Vol 34 (2) ◽  
pp. 159
Author(s):  
D.V. Poornaiah
Author(s):  
G. Vadiraj ◽  
K. Shivanand ◽  
B. Sampat ◽  
G. Subramanya Nayak

Multiplication is an important fundamental function in arithmetic operations. Multiplication-based operations such as Multiply and Accumulate (MAC) and inner product are some of the frequently used operations in many Digital Signal Processing (DSP) applications such as convolution, Fast Fourier Transform(FFT), filtering and in microprocessors in its arithmetic and logic unit. Since multiplication dominates the execution time of most DSP algorithms, so there is a need of high speed multiplier. Higher throughput arithmetic operations are important to achieve the desired performance in many real-time signal and image processing applications. In this project, the comparative study of Vedic multiplier and Sequential multiplier is done for low power requirement and high speed. The proposed architecture is based on the Vertical and Crosswise algorithm of ancient Indian Vedic Mathematics, which increases the speed of multiplier by reducing the number of clock cycles thus achieving the greater speed of the processor or system.


2016 ◽  
Vol E99.C (7) ◽  
pp. 866-877 ◽  
Author(s):  
Abdulfattah M. OBEID ◽  
Syed Manzoor QASIM ◽  
Mohammed S. BENSALEH ◽  
Abdullah A. ALJUFFRI

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 116
Author(s):  
Qi Liu ◽  
Yongjin Li

In this paper, we will introduce a new geometric constant LYJ(λ,μ,X) based on an equivalent characterization of inner product space, which was proposed by Moslehian and Rassias. We first discuss some equivalent forms of the proposed constant. Next, a characterization of uniformly non-square is given. Moreover, some sufficient conditions which imply weak normal structure are presented. Finally, we obtain some relationship between the other well-known geometric constants and LYJ(λ,μ,X). Also, this new coefficient is computed for X being concrete space.


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