JP3744896B2 - 線形変換を実行する際の効率を強化する方法 - Google Patents

線形変換を実行する際の効率を強化する方法 Download PDF

Info

Publication number
JP3744896B2
JP3744896B2 JP2002533113A JP2002533113A JP3744896B2 JP 3744896 B2 JP3744896 B2 JP 3744896B2 JP 2002533113 A JP2002533113 A JP 2002533113A JP 2002533113 A JP2002533113 A JP 2002533113A JP 3744896 B2 JP3744896 B2 JP 3744896B2
Authority
JP
Japan
Prior art keywords
matrix
vector
column
address
product
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
JP2002533113A
Other languages
English (en)
Japanese (ja)
Other versions
JP2004511046A (ja
Inventor
イエリン，ダニー
ライニッシュ，ドロン
ドル，アブナー
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Intel Corp
Original Assignee
Intel Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Intel Corp filed Critical Intel Corp
Publication of JP2004511046A publication Critical patent/JP2004511046A/ja
Application granted granted Critical
Publication of JP3744896B2 publication Critical patent/JP3744896B2/ja
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Images

Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Computational Mathematics (AREA)
  • Data Mining & Analysis (AREA)
  • Theoretical Computer Science (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Complex Calculations (AREA)
  • Mobile Radio Communication Systems (AREA)
JP2002533113A 2000-10-06 2001-10-05 線形変換を実行する際の効率を強化する方法 Expired - Fee Related JP3744896B2 (ja)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US09/680,665 US6895421B1 (en) 2000-10-06 2000-10-06 Method and apparatus for effectively performing linear transformations
PCT/US2001/042537 WO2002029611A2 (en) 2000-10-06 2001-10-05 Method and apparatus for effectively performing linear transformations

Related Child Applications (1)

Application Number Title Priority Date Filing Date
JP2005114408A Division JP2005302033A (ja) 2000-10-06 2005-04-12 線形変換を効率的に実行する方法および装置

Publications (2)

Publication Number Publication Date
JP2004511046A JP2004511046A (ja) 2004-04-08
JP3744896B2 true JP3744896B2 (ja) 2006-02-15

Family

ID=24732004

Family Applications (2)

Application Number Title Priority Date Filing Date
JP2002533113A Expired - Fee Related JP3744896B2 (ja) 2000-10-06 2001-10-05 線形変換を実行する際の効率を強化する方法
JP2005114408A Pending JP2005302033A (ja) 2000-10-06 2005-04-12 線形変換を効率的に実行する方法および装置

Family Applications After (1)

Application Number Title Priority Date Filing Date
JP2005114408A Pending JP2005302033A (ja) 2000-10-06 2005-04-12 線形変換を効率的に実行する方法および装置

Country Status (7)

Country Link
US (2) US6895421B1 (enExample)
JP (2) JP3744896B2 (enExample)
KR (1) KR100522262B1 (enExample)
CN (1) CN1478234A (enExample)
SG (1) SG149682A1 (enExample)
TW (1) TW522316B (enExample)
WO (1) WO2002029611A2 (enExample)

Families Citing this family (32)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6968305B1 (en) * 2000-06-02 2005-11-22 Averant, Inc. Circuit-level memory and combinational block modeling
DE10054517B4 (de) * 2000-11-03 2006-01-12 Rohde & Schwarz Gmbh & Co. Kg Verfahren zur Synchronisation eines CDMA-Signals
US7447967B2 (en) * 2001-09-13 2008-11-04 Texas Instruments Incorporated MIMO hybrid-ARQ using basis hopping
US7450631B2 (en) * 2001-10-26 2008-11-11 Intel Corporation Metric correction for multi user detection, for long codes DS-CDMA
US7002960B1 (en) * 2001-10-30 2006-02-21 At&T Corp. Traffic matrix computation for packet networks
US7743139B1 (en) 2001-10-30 2010-06-22 At&T Intellectual Property Ii, L.P. Method of provisioning a packet network for handling incoming traffic demands
US7756085B2 (en) * 2001-11-20 2010-07-13 Qualcomm Incorporated Steps one and three W-CDMA and multi-mode searching
US7043514B1 (en) * 2002-03-01 2006-05-09 Microsoft Corporation System and method adapted to facilitate dimensional transform
US7321915B2 (en) * 2002-10-29 2008-01-22 Broadcom Corporation Method and apparatus for efficient matrix multiplication in a direct sequence CDMA system
US7620674B2 (en) * 2003-03-07 2009-11-17 Sensys Medical, Inc. Method and apparatus for enhanced estimation of an analyte property through multiple region transformation
JP3862236B2 (ja) * 2003-11-06 2006-12-27 よこはまティーエルオー株式会社 通信方法、送信信号形成方法、及び送信信号のデータ構造
TWI276312B (en) * 2004-05-28 2007-03-11 Ind Tech Res Inst Apparatus for generating 2D spreading code and method for the same
US20060277041A1 (en) * 2005-06-06 2006-12-07 Stig Stuns Sparse convolution of multiple vectors in a digital signal processor
US7685219B2 (en) * 2006-03-31 2010-03-23 Intel Corporation Parallel systolic CORDIC algorithm with reduced latency for unitary transform of complex matrices and application to MIMO detection
US7596534B2 (en) * 2006-06-15 2009-09-29 Microsoft Corporation Computer implemented methods for solving difference and non-difference linear constraints
US7796058B2 (en) * 2007-02-12 2010-09-14 Xyratex Technology Limited Method and apparatus for data transform
JP5092897B2 (ja) * 2008-05-26 2012-12-05 富士通株式会社 データ移行処理プログラム、データ移行処理装置およびデータ移行処理方法
US8453116B2 (en) 2008-11-24 2013-05-28 Microsoft Corporation Efficient invariant inference for program verification
US8516027B2 (en) * 2010-04-30 2013-08-20 Src, Inc. Method and system for bit stacked fast Fourier transform
CN102521211B (zh) * 2011-11-17 2014-09-10 华南理工大学 一种求解有限域上线性方程组的并行装置
US9384168B2 (en) * 2013-06-11 2016-07-05 Analog Devices Global Vector matrix product accelerator for microprocessor integration
KR102098247B1 (ko) 2013-11-25 2020-04-08 삼성전자 주식회사 메모리 시스템에서 데이터를 인코딩 및 디코딩하기 위한 방법 및 장치
US11200581B2 (en) 2018-05-10 2021-12-14 Hubspot, Inc. Multi-client service system platform
US20160188724A1 (en) * 2014-12-24 2016-06-30 Facebook, Inc. Tag prediction for content based on user metadata
US20160188592A1 (en) * 2014-12-24 2016-06-30 Facebook, Inc. Tag prediction for images or video content items
EP3246900B1 (en) * 2015-01-15 2019-07-31 Nippon Telegraph and Telephone Corporation Matrix and key generation device, matrix and key generation system, matrix coupling device, matrix and key generation method, and program
EP3336691B1 (en) * 2016-12-13 2022-04-06 ARM Limited Replicate elements instruction
EP3336692B1 (en) 2016-12-13 2020-04-29 Arm Ltd Replicate partition instruction
CN111033499B (zh) * 2017-07-24 2022-07-29 爱荷华州立大学研究基金有限公司 用于在O(n log n)的时间和O(n)的存储中对线性调频Z变换求逆的系统和方法
CN108171221A (zh) * 2018-02-02 2018-06-15 师阳 一种基于像素值计算的并行化图像采集方法及装置
US20210312261A1 (en) * 2020-04-02 2021-10-07 Huawei Technologies Co., Ltd. Neural network search method and related apparatus
US11847106B2 (en) * 2020-05-12 2023-12-19 Hubspot, Inc. Multi-service business platform system having entity resolution systems and methods

Family Cites Families (24)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3920978A (en) * 1974-02-25 1975-11-18 Sanders Associates Inc Spectrum analyzer
US4055756A (en) * 1975-02-03 1977-10-25 Societe Anonyme De Telecommunications Image coder-decoder using a matrix transform with weighted contribution of several points of the image to the formation of one point of the transform
US4138730A (en) * 1977-11-07 1979-02-06 Communications Satellite Corporation High speed FFT processor
JPS60250473A (ja) 1984-05-25 1985-12-11 Hitachi Ltd ベクトルプロセツサ
IT1207346B (it) * 1987-01-20 1989-05-17 Cselt Centro Studi Lab Telecom Sformata coseno discreta a coeffi circuito per il calcolo della tra cienti quantizzati di campioni di segnale numerico
US4914615A (en) 1987-09-04 1990-04-03 At&T Bell Laboratories Calculator of matrix products
JP2690932B2 (ja) 1988-03-18 1997-12-17 株式会社日立製作所 ディジタル信号処理プロセッサおよびディシタル信号処理プロセッサシステム
US5267185A (en) 1989-04-14 1993-11-30 Sharp Kabushiki Kaisha Apparatus for calculating matrices
JPH0748207B2 (ja) 1989-04-14 1995-05-24 シャープ株式会社 行列演算装置
US5093801A (en) * 1990-07-06 1992-03-03 Rockwell International Corporation Arrayable modular FFT processor
US5357454A (en) 1991-07-25 1994-10-18 Ericsson Ge Mobile Communications Holding, Inc. Fast walsh transform processor
JP3323950B2 (ja) * 1992-03-17 2002-09-09 サン・マイクロシステムズ・インコーポレーテッド デジタル画像処理システムでｉｄｃｔを実施する方法及びそのためのｉｄｃｔプロセッサ
US5528528A (en) * 1993-03-29 1996-06-18 Intel Corporation Method, apparatus, and system for transforming signals
US5561618A (en) 1993-12-22 1996-10-01 Qualcomm Incorporated Method and apparatus for performing a fast Hadamard transform
US5481487A (en) * 1994-01-28 1996-01-02 Industrial Technology Research Institute Transpose memory for DCT/IDCT circuit
US5574675A (en) 1994-03-22 1996-11-12 Industrial Technology Research Laboratories State-controlled half-parallel array walsh transform
US6185595B1 (en) * 1995-06-01 2001-02-06 Hitachi, Ltd. Discrete cosine transformation operation circuit
US5870378A (en) 1996-08-20 1999-02-09 Lucent Technologies Inc. Method and apparatus of a multi-code code division multiple access receiver having a shared accumulator circuits
DE69837299T2 (de) * 1997-01-22 2007-06-28 Matsushita Electric Industrial Co., Ltd., Kadoma System und Verfahren zur schnellen Fourier-Transformation
JPH10308672A (ja) 1997-05-07 1998-11-17 Nippon Samusun Kk 復号演算方法及び復号演算器
US5831883A (en) * 1997-05-27 1998-11-03 United States Of America As Represented By The Secretary Of The Air Force Low energy consumption, high performance fast fourier transform
US5841395A (en) * 1997-09-12 1998-11-24 Raytheon Corporation Localized interference nulling preprocessor
KR100275933B1 (ko) * 1998-07-14 2000-12-15 구자홍 엠펙디코더의 역이산여현변환장치
US6735610B1 (en) * 1999-04-29 2004-05-11 Walter E. Pelton Apparatus, methods, and computer program products for determining the coefficients of a function with decreased latency

Also Published As

Publication number Publication date
KR20030094213A (ko) 2003-12-11
WO2002029611A3 (en) 2003-04-17
JP2005302033A (ja) 2005-10-27
KR100522262B1 (ko) 2005-10-19
US20050177607A1 (en) 2005-08-11
SG149682A1 (en) 2009-02-27
JP2004511046A (ja) 2004-04-08
TW522316B (en) 2003-03-01
WO2002029611A9 (en) 2003-02-13
CN1478234A (zh) 2004-02-25
US7337204B2 (en) 2008-02-26
WO2002029611A2 (en) 2002-04-11
US6895421B1 (en) 2005-05-17

Similar Documents

Publication Publication Date Title
JP3744896B2 (ja) 線形変換を実行する際の効率を強化する方法
US7870176B2 (en) Method of and apparatus for implementing fast orthogonal transforms of variable size
CN100530168C (zh) 用于执行计算操作的系统、方法及设备
US5293330A (en) Pipeline processor for mixed-size FFTs
EP1281118B1 (en) Method and apparatus for performing computations using residue arithmetic
CN112464296B (zh) 一种用于同态加密技术的大整数乘法器硬件电路
JP4163178B2 (ja) 素因数分解アルゴリズムを用いる最適化された離散フーリエ変換方法および装置
CN1685309A (zh) 计算上高效数学引擎
KR101162649B1 (ko) 가변적 크기의 고속 직교 변환을 구현하기 위한 방법 및장치
Harvey et al. Faster integer multiplication using plain vanilla FFT primes
US7039091B1 (en) Method and apparatus for implementing a two dimensional correlator
CN104144346A (zh) 用于执行空域和频域之间的变换的数据处理装置和方法
CN109379191B (zh) 一种基于椭圆曲线基点的点乘运算电路和方法
US20040034676A1 (en) Reduced complexity fast hadamard transform and find-maximum mechanism associated therewith
Kumarathunga et al. AutoNTT: Automatic Architecture Design and Exploration for Number Theoretic Transform Acceleration on FPGAs
Shachnai et al. Finding large independent sets of hypergraphs in parallel
Alaqeeli et al. Hardware implementation for fast convolution with a pn code using field programmable gate array
Brent et al. Three new factors of Fermat numbers
JP2011015159A (ja) 相関演算装置
CN114706557A (zh) 一种asic芯片及蒙哥马利模乘的实现方法和装置
Matsuura et al. A hierarchical clustering method for the multiple constant multiplication problem
US20070180010A1 (en) System and method for iteratively eliminating common subexpressions in an arithmetic system
CN113625994B (zh) 一种数据处理方法和处理核
US7729235B2 (en) Method and apparatus for OVSF code generation
CN117950622A (zh) 在芯片中实现多路符号位的处理方法、装置及存储介质

Legal Events

Date Code Title Description
A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20040216

A131 Notification of reasons for refusal

Free format text: JAPANESE INTERMEDIATE CODE: A131

Effective date: 20041012

A601 Written request for extension of time

Free format text: JAPANESE INTERMEDIATE CODE: A601

Effective date: 20050111

A602 Written permission of extension of time

Free format text: JAPANESE INTERMEDIATE CODE: A602

Effective date: 20050118

A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20050412

A131 Notification of reasons for refusal

Free format text: JAPANESE INTERMEDIATE CODE: A131

Effective date: 20050929

A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20050930

TRDD Decision of grant or rejection written
A01 Written decision to grant a patent or to grant a registration (utility model)

Free format text: JAPANESE INTERMEDIATE CODE: A01

Effective date: 20051024

A61 First payment of annual fees (during grant procedure)

Free format text: JAPANESE INTERMEDIATE CODE: A61

Effective date: 20051115

R150 Certificate of patent or registration of utility model

Free format text: JAPANESE INTERMEDIATE CODE: R150

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20091202

Year of fee payment: 4

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20101202

Year of fee payment: 5

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20111202

Year of fee payment: 6

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20121202

Year of fee payment: 7

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20121202

Year of fee payment: 7

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20131202

Year of fee payment: 8

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

R250 Receipt of annual fees

Free format text: JAPANESE INTERMEDIATE CODE: R250

LAPS Cancellation because of no payment of annual fees