• Title/Summary/Keyword: multiplication module

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The Optimization Design of Adder-based Distributed Arithmetic and DCT Processor design (가산기-기반 분산 연산의 최적화 설계 및 이를 이용한 DCT 프로세서 설계)

  • 임국찬;장영진;이현수
    • Proceedings of the IEEK Conference
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    • 2000.11b
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    • pp.116-119
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    • 2000
  • The Process of Inner Product has been widely used in a DSP. But it is difficult to implement by a dedicated hardware because it needs many computation steps for multiplication and addition. To reduce these steps, it is essential to design efficient hardware architecture. This paper proposes the design method of adder-based distributed arithmetic for implementation of DCT module and the automatic design of summation-network which is a core block in the proposed design method. Finally, it shows that the proposed design method is more efficient than a ROM-based distributed arithmetic which is the typical design method.

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REGULARITY RELATIVE TO A HEREDITARY TORSION THEORY FOR MODULES OVER A COMMUTATIVE RING

  • Qiao, Lei;Zuo, Kai
    • Journal of the Korean Mathematical Society
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    • v.59 no.4
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    • pp.821-841
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    • 2022
  • In this paper, we introduce and study regular rings relative to the hereditary torsion theory w (a special case of a well-centered torsion theory over a commutative ring), called w-regular rings. We focus mainly on the w-regularity for w-coherent rings and w-Noetherian rings. In particular, it is shown that the w-coherent w-regular domains are exactly the Prüfer v-multiplication domains and that an integral domain is w-Noetherian and w-regular if and only if it is a Krull domain. We also prove the w-analogue of the global version of the Serre-Auslander-Buchsbaum Theorem. Among other things, we show that every w-Noetherian w-regular ring is the direct sum of a finite number of Krull domains. Finally, we obtain that the global weak w-projective dimension of a w-Noetherian ring is 0, 1, or ∞.

Design of High-Speed Parallel Multiplier with All Coefficients 1's of Primitive Polynomial over Finite Fields GF(2m) (유한체 GF(2m)상의 기약다항식의 모든 계수가 1을 갖는 고속 병렬 승산기의 설계)

  • Seong, Hyeon-Kyeong
    • Journal of the Korea Society of Computer and Information
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    • v.18 no.2
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    • pp.9-17
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    • 2013
  • In this paper, we propose a new multiplication algorithm for two polynomials using primitive polynomial with all 1 of coefficient on finite fields GF($2^m$), and design the multiplier with high-speed parallel input-output module structure using the presented multiplication algorithm. The proposed multiplier is designed $m^2$ same basic cells that have a 2-input XOR gate and a 2-input AND gate. Since the basic cell have no a latch circuit, the multiplicative circuit is very simple and is short the delay time $D_A+D_X$ per cell unit. The proposed multiplier is easy to extend the circuit with large m having regularity and modularity by cell array, and is suitable to the implementation of VLSI circuit.

An Adaptive Decision-Feedback Equalizer Architecture using RB Complex-Number Filter and chip-set design (RB 복소수 필터를 이용한 적응 결정귀환 등화기 구조 및 칩셋 설계)

  • Kim, Ho Ha;An, Byeong Gyu;Sin, Gyeong Uk
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.12A
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    • pp.2015-2024
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    • 1999
  • Presented in this paper are a new complex-umber filter architecture, which is suitable for an efficient implementation of baseband signal processing of digital communication systems, and a chip-set design of adaptive decision-feedback equalizer (ADFE) employing the proposed structure. The basic concept behind the approach proposed in this paper is to apply redundant binary (RB) arithmetic instead of conventional 2’s complement arithmetic in order to achieve an efficient realization of complex-number multiplication and accumulation. With the proposed way, an N-tap complex-number filter can be realized using 2N RB multipliers and 2N-2 RB adders, and each filter tap has its critical delay of $T_{m.RB}+T_{a.RB}$ (where $T_{m.RB}, T_{a.RB}$are delays of a RB multiplier and a RB adder, respectively), making the filter structure simple, as well as resulting in enhanced speed by means of reduced arithmetic operations. To demonstrate the proposed idea, a prototype ADFE chip-set, FFEM (Feed-Forward Equalizer Module) and DFEM (Decision-Feedback Equalizer Module) that can be cascaded to implement longer filter taps, has been designed. Each module is composed of two complex-number filter taps with their LMS coefficient update circuits, and contains about 26,000 gates. The chip-set was modeled and verified using COSSAP and VHDL, and synthesized using 0.8- μm SOG (Sea-Of-Gate) cell library.

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Development of Hepatitis C Virus (HCV) Genome-Targeting Hammerhead Ribozyme Which Activity Can Be Allosterically Regulated by HCV NS5B RNA Replicase (C형 간염바이러스(HCV)의 NS5B RNA Replicase에 의해 그 활성이 조절되는 HCV지놈 표적 Hammerhead 리보자임 개발)

  • Lee, Chang-Ho;Lee, Seong-Wook
    • Korean Journal of Microbiology
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    • v.43 no.3
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    • pp.159-165
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    • 2007
  • For the development of basic genetic materials for specific and effective therapeutic approach to suppress multiplication of hepatitis C virus (HCV), HCV internal ribosome entry site (IRES)-targeting hammerhead ribozyme which activity is allosterically regulated by HCV regulatory protein, NS5B RNA replicase, was developed. The ribozyme targeted most effectively to +382 nucleotide (nt) site of HCV IRES RNA. The allosteric ribozyme was designed to be composed of sequence of RNA aptamer to HCV NS5B, communication module sequence which can transfer structural transition for inducing ribozyme activity upon binding NS5B to the aptamer, and sequence of ribozyme targeting +382 nt of HCV IRES. Noticeably, we employed in vitro selection technology to identify the most appropriate communication module sequence which can induce ribozyme activity depending on the US5B protein. We demonstrated that the ribozyme was nonfunctional either in the absence of any proteins or in the presence of control bovine serum albumin. In sharp contrast, the allosteric ribozyme can induce activity of cleavage reaction with HCV IRES RNA in the presence of the HCV NS5B protein. This allosteric ribozyme can be used as lead compound for specific and effective anti-HCV agent, tool for highthroughput screening to isolate lead chemicals for HCV therapeutics, and ligand for biosensor system for HCV diagnosis.

Inhibition of Hepatitis C Virus (HCV) Replication by Hammerhead Ribozyme Which Activity Can Be Allosterically Regulated by HCV NS5B RNA Replicase (C형 간염바이러스(HCV)의 NS5B RNA Replicase에 의해 활성이 유도되는 Hammerhead 리보자임에 의한 HCV 복제 억제 연구)

  • Lee, Chang-Ho;Lee, Seong-Wook
    • Korean Journal of Microbiology
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    • v.47 no.3
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    • pp.188-193
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    • 2011
  • As a specific and effective therapeutic genetic material against hepatitis C virus (HCV) multiplication, HCV internal ribosome entry site (IRES)-targeting hammerhead ribozyme which activity is allosterically regulated by HCV regulatory protein, NS5B RNA replicase, was constructed. The allosteric ribozyme was composed of sequence of RNA aptamer to HCV NS5B, communication module sequence which can transfer structural transition for inducing ribozyme activity upon binding NS5B to the aptamer, and sequence of ribozyme targeting +382 nucleotide of HCV IRES. With real-time PCR analysis, the ribozyme was found to efficiently inhibit HCV replicon replication in cells. Of note, the allosteric ribozyme was shown to inhibit HCV replicon replication more efficiently than either HCV genome-targeting ribozyme or NS5B aptamer only. This allosteric ribozyme can be used as a lead genetic agent for the specific and effective suppression of HCV replication.

Weakly np-Injective Rings and Weakly C2 Rings

  • Wei, Junchao;Che, Jianhua
    • Kyungpook Mathematical Journal
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    • v.51 no.1
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    • pp.93-108
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    • 2011
  • A ring R is called left weakly np- injective if for each non-nilpotent element a of R, there exists a positive integer n such that any left R- homomorphism from $Ra^n$ to R is right multiplication by an element of R. In this paper various properties of these rings are first developed, many extending known results such as every left or right module over a left weakly np- injective ring is divisible; R is left seft-injective if and only if R is left weakly np-injective and $_RR$ is weakly injective; R is strongly regular if and only if R is abelian left pp and left weakly np- injective. We next introduce the concepts of left weakly pp rings and left weakly C2 rings. In terms of these rings, we give some characterizations of (von Neumann) regular rings such as R is regular if and only if R is n- regular, left weakly pp and left weakly C2. Finally, the relations among left C2 rings, left weakly C2 rings and left GC2 rings are given.

A Study on the Parallel Multiplier over $GF(3^m)$ Using AOTP (AOTP를 적용한 $GF(3^m)$ 상의 병렬승산기 설계에 관한 연구)

  • Han, Sung-Il;Hwang, Jong-Hak
    • Journal of IKEEE
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    • v.8 no.2 s.15
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    • pp.172-180
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    • 2004
  • In this paper, a parallel Input/Output modulo multiplier, which is applied to AOTP(All One or Two Polynomials) multiplicative algorithm over $GF(3^m)$, has been proposed using neuron-MOS Down-literal circuit on voltage mode. The three-valued input of the proposed multiplier is modulated by using neuron-MOS Down-literal circuit and the multiplication and Addition gates are implemented by the selecting of the three-valued input signals transformed by the module. The proposed circuits are simulated with the electrical parameter of a standard $0.35{\mu}m$CMOS N-well doubly-poly four-metal technology and a single +3V supply voltage. In the simulation result, the multiplier shows 4 uW power consumption and 3 MHzsampling rate and maintains output voltage level in ${\pm}0.1V$.

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Design and Fabrication of 26.4 GHz Local Oscillator for Satellite Payload (위성 탑재체용 26.4 GHz 국부발진기의 설계 및 제작)

  • Shin Dong-Hwan;Ryu Keun-Kwan;Chang Dong-Pil;Lee Moon-Que;Yom In-Bok;Oh Seung-Hyeub
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.2A
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    • pp.194-200
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    • 2006
  • A 26.4 GHz phase locked oscillator(PLO) for communication satellite transponder is developed. The PLO consists of fundamental frequency generation module(FFGM) and frequency multiplication part(FMP). The signal of 26.4 GHz is generated through frequency tripling process of 8.8 GHz fundamental frequency. Phase locking technique using sampling phase detector(SPD) is adopted to design the FFGM. The MMIC tripler and amplifier are also designed for the reduction of the size and mass of FMP. The phase noise characteristics are exhibited as -96 dBc/Hz at 10 tHz offset frequency and -105 dBc/Hz at 100 kHz offset frequency, respectively, with the output power over 11 dBm. All performance parameters are complied with the design requirements.

A Study on the Design of Highly Parallel Multiplier using VCGM (VCGM를 사용한 고속병렬 승산기 설계에 관한 연구)

  • 변기영;성현경;김흥수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.6A
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    • pp.555-561
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    • 2002
  • In this paper, a new designed circuit of highly parallel multiplier using standard basis over $GF(2^m)$ is presented. Prior to construct the multiplier circuit, we provide the Vector Code Generate Module(VCGM) that generate each vector codes for multiplication. Using these VCGMs, we can get all vector codes necessary for operation and modular sum up each independent corresponding basis, respectively. Following the equations in this paper, we can design generalized multiplier to m. For the proposed circuit in this parer, we show the example in $GF(2^4)$ using VCGMs. In this paper, we build a multiplier with VCGMs, AND blocks, and EX-OR blocks. Therefore the proposed circuit is easy to generalize for m and advantageous for VLSI. Also, it need no memory element and the latency not less fewer then other circuit. We verify the proposed circuit by functional simulation and show its result. Finally, we compare the circuit composition with other works and show its result with a table.