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Anirudh Banerjee - One of the best experts on this subject based on the ideXlab platform.

  • Design of optical filters for coarse wavelength division multiplexing by using down Binary Number sequence multilayer structures
    Journal of the Optical Society of America B, 2009
    Co-Authors: Anirudh Banerjee
    Abstract:

    Design of optical filters for coarse wavelength division multiplexed optical communication wavelengths by using new down Binary Number sequence multilayer structures are suggested. These new down Binary Number sequence multilayer filters are smaller in size, cheaper in cost, and easier to fabricate as compared to optical filter designs previously suggested by researchers.

  • Design of Narrowband Optical Filters Using Binary Number Sequence Photonic Crystals
    International Journal of Infrared and Millimeter Waves, 2008
    Co-Authors: Anirudh Banerjee
    Abstract:

    A theory to design narrow band optical filters by using a new photonic crystal structure is presented. This new photonic crystal structure is composed of low index layers and high index layers arranged in mod. 4 up and down Binary Number sequence. The new structure exhibits narrow transmission peaks in the forbidden frequency gap region with high optical transmission (greater than 99.98%) at C.W.D.M. (Coarse Wavelength Division Multiplexing) center wavelengths. The proposed filters use only 8 layers. These new Binary Number sequence photonic crystal narrowband optical filters are much smaller in size, lower in cost and easier to fabricate as compared to narrowband photonic crystal optical filters based on defect Fractal Cantor multilayers, suggested recently by a group of researchers.

  • Binary Number Sequence Multilayer Structure Based Refractometric Optical Sensing Element
    Journal of Electromagnetic Waves and Applications, 2008
    Co-Authors: Anirudh Banerjee
    Abstract:

    New mod. 4 up count Binary Number sequence multilayer structures are suggested as refractometric-sensing elements, for sensing very small refractive index changes of a medium. Theoretical results show that these mod. 4 up count Binary Number sequence multilayer structures exhibit isolated narrow transmission peaks in their forbidden wavelength regions and a slight change in refractive index of material layers induce large peak shifts in the transmission spectra. These new up count Binary Number sequence multilayer based refractometric sensing elements are not only remarkably smaller, but are also more sensitive than photonic crystal based sensing element recently suggested by researchers.

  • Design of Optical Filters for Optical Communication Wavelengths by Using Binary Number Sequence Multilayered Structures
    Journal of Electromagnetic Waves and Applications, 2008
    Co-Authors: Anirudh Banerjee
    Abstract:

    Design of optical filters for Coarse Wavelength Division Multiplexed (C.W.D.M) optical communication wavelengths by using a new Binary Number sequence multilayered structures are suggested. These new Binary Number sequence multilayered filters are smaller in size, cheaper in cost and easier to fabricate as compared to optical filter designs previously suggested by researchers.

Annalisa Massini - One of the best experts on this subject based on the ideXlab platform.

  • Parallel Arithmetic on Optical Computers by Redundant Binary Number Representations
    Applications of Photonic Technology, 1995
    Co-Authors: G. A. De Biase, Annalisa Massini
    Abstract:

    A parallel arithmetic, suitable for optical computers, can be obtained using two main approaches 1) residue Number system1,2 and 2) redundant Number representations3,4. In fact using of both approaches it is possible to build totally parallel adders operating by symbolic substitution (SS)2,5–7 and in constant time (the adding time is independent of the length of the operand digit strings, N). Using a residue Number system, the size of the SS Truth Tables required for the carry-free addition heavily increases with numerical range involved1,2, and these tables depend on the digit position. On the contrary, additions of redundant Numbers can be performed in constant time by small SS Truth Tables which are independent of the digit positions.

  • High efficiency redundant Binary Number representations for parallel arithmetic on optical computers
    Optics & Laser Technology, 1994
    Co-Authors: G. A. De Biase, Annalisa Massini
    Abstract:

    Abstract A family of redundant Binary Number representations, obtained by generalization of the RB (redundant Binary) Number representation, is introduced. All these Number representations are suitable for optical computing and have properties similar to the RB representation. In particular, the p -RB (packed redundant Binary) Number representation introduced in this work has efficiency greater than both RB and MSD (modified signed digit) representations. With p -RB Numbers the algebraic sum is always permitted in constant time for any efficiency value. p -RB representations also fit in a natural way the 2's complement Binary Number system. Symbolic substitution truth tables for the algebraic sum and several examples of computation are also given.

  • Redundant Binary Number representation for an inherently parallel arithmetic on optical computers.
    Applied optics, 1993
    Co-Authors: G. A. De Biase, Annalisa Massini
    Abstract:

    A simple redundant Binary Number representation suitable for digital–optical computers is presented. By means of this representation it is possible to build an arithmetic with carry-free parallel algebraic sums carried out in constant time and parallel multiplication in log N time. This redundant Number representation naturally fits the 2's complement Binary Number system and permits the construction of inherently parallel arithmetic units that are used in various optical technologies. Some properties of this Number representation and several examples of computation are presented.

Torben Æ. Mogensen - One of the best experts on this subject based on the ideXlab platform.

Tariq Jamil - One of the best experts on this subject based on the ideXlab platform.

  • Complex Binary Adder Designs and their Hardware Implementations
    International Journal of Advanced Computer Science and Applications, 2019
    Co-Authors: Tariq Jamil, Medhat Awadalla, Iftaquaruddin Mohammed
    Abstract:

    Complex Binary Number System (CBNS) is (-1+j)-based on Binary Number system which facilitates both real and imaginary components of a complex Number to be represented as single Binary Number. In this paper, we have presented three designs of nibble-size complex Binary adders (ripple-carry, decoder-based, minimum-delay) and implemented them on various Xilinx FPGAs. The designs of base2 4-bit Binary adder have also been implemented so that statistics of different adders can be compared.

  • Design of a Content Addressable Memory-based Parallel Processor implementing (-1+j)-based Binary Number System
    International Journal of Advanced Computer Science and Applications, 2014
    Co-Authors: Tariq Jamil
    Abstract:

    Contrary to the traditional base 2 Binary Number system, used in today's computers, in which a complex Number is represented by two separate Binary entities, one for the real part and one for the imaginary part, Complex Binary Number System (CBNS), a Binary Number system with base (−1+j), is used to represent a given complex Number in single Binary string format. In this paper, CBNS is reviewed and arithmetic algorithms for this Number system are presented. The design of a CBNS-based parallel processor utilizing content-addressable memory for implementation of associative dataflow concept has been described and software-related issues have also been explained. Keywords—Binary Number; complex Binary; parallel processing; content-addressable; memory; associative dataflow; compiler; operating system I. INTRODUCTION

  • Complex Binary Number System
    SpringerBriefs in Electrical and Computer Engineering, 2013
    Co-Authors: Tariq Jamil
    Abstract:

    This book is a compilation of the entire research work on the topic of Complex Binary Number System (CBNS) carried out by the author as the principal investigator and members of his research groups at various universities during the years 1992-2012. Pursuant to these efforts spanning several years, the realization of CBNS as a viable alternative to represent complex Numbers in an 'all-in-one' Binary Number format has become possible and efforts are underway to build computer hardware based on this unique Number system. It is hoped that this work will be of interest to anyone involved in computer arithmetic and digital logic design and kindle renewed enthusiasm among the engineers working in the areas of digital signal and image processing for developing newer and efficient algorithms and techniques incorporating CBNS

  • Complex Binary Number System: Algorithms and Circuits
    2012
    Co-Authors: Tariq Jamil
    Abstract:

    This book is a compilation of the entire research work on the topic of Complex Binary Number System (CBNS) carried out by the author as the principal investigator and members of his research groups at various universities during the years 2000-2012. Pursuant to these efforts spanning several years, the realization of CBNS as a viable alternative to represent complex Numbers in an all-in-one Binary Number format has become possible and efforts are underway to build computer hardware based on this unique Number system. It is hoped that this work will be of interest to anyone involved in computer arithmetic and digital logic design and kindle renewed enthusiasm among the engineers working in the areas of digital signal and image processing for developing newer and efficient algorithms and techniques incorporating CBNS.

  • Design of Arithmetic Circuits for Complex Binary Number System
    2011
    Co-Authors: Tariq Jamil
    Abstract:

    Complex Numbers play important role in various engineering applications. To represent these Numbers efficiently for storage and manipulation, a (−1+j)‐base complex Binary Number system (CBNS) has been proposed in the literature. In this paper, designs of nibble‐size arithmetic circuits (adder, subtractor, multiplier, divider) have been presented. These circuits can be incorporated within von Neumann and associative dataflow processors to achieve higher performance in both sequential and parallel computing paradigms.

Shugang Wei - One of the best experts on this subject based on the ideXlab platform.

  • Residue-Binary Number conversion using signed-digit arithmetic for a three-moduli set
    TENCON 2012 IEEE Region 10 Conference, 2012
    Co-Authors: Shugang Wei
    Abstract:

    By introducing a signed-digit (SD) Number arithmetic into a residue Number system (RNS), arithmetic operations can be performed efficiently. In this paper, an algorithm of the residue to Binary Number conversion for a three-moduli set {2n, 2n+1 − 1, 2n − 1} using the SD Number arithmetic is proposed. A high speed SD addition algorithm is also presented. Based on the proposed algorithm, the converters are implemented by the SD additions in which the carry propagation is free. The design and simulation results show that fast residue-Binary Number converter based on the presented algorithm can be implemeted, by comparing the performance of the proposed converter with that of Binary one.

  • A new residue adder with redundant Binary Number representation
    2008 Joint 6th International IEEE Northeast Workshop on Circuits and Systems and TAISA Conference, 2008
    Co-Authors: Shugang Wei
    Abstract:

    In this paper, we present a modified addition algorithm modulo m with a signed-digit(SD) Number representation where m = 2n-1, 2n or 2n+1. To simplify an SD full adder, new addition rules are proposed for generating the intermediate sum and carry with a Binary Number representation. By using the new codes for intermediate sum and carry and the end-around carry architecture, the proposed modulo m addition requires less hardware and short delay time for the residue addition than previous methods. Compared to previous work, the circuit area and delay time are improved by 21% and 30%, respectively.