TWI373255B - Reduction of errors during computation of inverse discrete cosine transform - Google Patents

Reduction of errors during computation of inverse discrete cosine transform

Info

Publication number
TWI373255B
TWI373255B TW096123075A TW96123075A TWI373255B TW I373255 B TWI373255 B TW I373255B TW 096123075 A TW096123075 A TW 096123075A TW 96123075 A TW96123075 A TW 96123075A TW I373255 B TWI373255 B TW I373255B
Authority
TW
Taiwan
Prior art keywords
reduction
discrete cosine
cosine transform
inverse discrete
errors during
Prior art date
Application number
TW096123075A
Other languages
English (en)
Other versions
TW200814738A (en
Inventor
Yuriy Reznik
Original Assignee
Qualcomm Inc
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
Family has litigation
First worldwide family litigation filed litigation Critical https://patents.darts-ip.com/?family=38624012&utm_source=google_patent&utm_medium=platform_link&utm_campaign=public_patent_search&patent=TWI373255(B) "Global patent litigation dataset” by Darts-ip is licensed under a Creative Commons Attribution 4.0 International License.
Application filed by Qualcomm Inc filed Critical Qualcomm Inc
Publication of TW200814738A publication Critical patent/TW200814738A/zh
Application granted granted Critical
Publication of TWI373255B publication Critical patent/TWI373255B/zh

Links

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/60—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using transform coding
    • H04N19/625—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using transform coding using discrete cosine transform [DCT]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR 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
    • G06F17/147—Discrete orthonormal transforms, e.g. discrete cosine transform, discrete sine transform, and variations therefrom, e.g. modified discrete cosine transform, integer transforms approximating the discrete cosine transform
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/42—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals characterised by implementation details or hardware specially adapted for video compression or decompression, e.g. dedicated software implementation
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/44—Decoders specially adapted therefor, e.g. video decoders which are asymmetric with respect to the encoder
    • H04N19/45—Decoders specially adapted therefor, e.g. video decoders which are asymmetric with respect to the encoder performing compensation of the inverse transform mismatch, e.g. Inverse Discrete Cosine Transform [IDCT] mismatch
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/60—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using transform coding
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/60—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using transform coding
    • H04N19/61—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using transform coding in combination with predictive coding

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Multimedia (AREA)
  • Signal Processing (AREA)
  • Mathematical Physics (AREA)
  • Discrete Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Data Mining & Analysis (AREA)
  • Software Systems (AREA)
  • Databases & Information Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Complex Calculations (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Compression Or Coding Systems Of Tv Signals (AREA)
  • Compression Of Band Width Or Redundancy In Fax (AREA)
TW096123075A 2006-06-26 2007-06-26 Reduction of errors during computation of inverse discrete cosine transform TWI373255B (en)

Applications Claiming Priority (6)

Application Number Priority Date Filing Date Title
US81669706P 2006-06-26 2006-06-26
US84136206P 2006-08-30 2006-08-30
US84719406P 2006-09-25 2006-09-25
US82966906P 2006-10-16 2006-10-16
US86953006P 2006-12-11 2006-12-11
US11/767,444 US8385424B2 (en) 2006-06-26 2007-06-22 Reduction of errors during computation of inverse discrete cosine transform

Publications (2)

Publication Number Publication Date
TW200814738A TW200814738A (en) 2008-03-16
TWI373255B true TWI373255B (en) 2012-09-21

Family

ID=38624012

Family Applications (2)

Application Number Title Priority Date Filing Date
TW096123078A TWI382767B (zh) 2006-06-26 2007-06-26 反向離散餘弦轉換計算中之誤差減少
TW096123075A TWI373255B (en) 2006-06-26 2007-06-26 Reduction of errors during computation of inverse discrete cosine transform

Family Applications Before (1)

Application Number Title Priority Date Filing Date
TW096123078A TWI382767B (zh) 2006-06-26 2007-06-26 反向離散餘弦轉換計算中之誤差減少

Country Status (10)

Country Link
US (2) US8606023B2 (zh)
EP (2) EP2035958A2 (zh)
JP (3) JP5086343B2 (zh)
KR (2) KR101013344B1 (zh)
CN (2) CN102007489B (zh)
BR (1) BRPI0712984A2 (zh)
CA (2) CA2653692C (zh)
IN (1) IN2014MN01239A (zh)
TW (2) TWI382767B (zh)
WO (2) WO2008002881A2 (zh)

Families Citing this family (39)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8571340B2 (en) * 2006-06-26 2013-10-29 Qualcomm Incorporated Efficient fixed-point approximations of forward and inverse discrete cosine transforms
US8606023B2 (en) * 2006-06-26 2013-12-10 Qualcomm Incorporated Reduction of errors during computation of inverse discrete cosine transform
US8300698B2 (en) * 2006-10-23 2012-10-30 Qualcomm Incorporated Signalling of maximum dynamic range of inverse discrete cosine transform
US8819095B2 (en) 2007-08-28 2014-08-26 Qualcomm Incorporated Fast computation of products by dyadic fractions with sign-symmetric rounding errors
US8731062B2 (en) * 2008-02-05 2014-05-20 Ntt Docomo, Inc. Noise and/or flicker reduction in video sequences using spatial and temporal processing
US9378751B2 (en) * 2008-06-19 2016-06-28 Broadcom Corporation Method and system for digital gain processing in a hardware audio CODEC for audio transmission
US8755515B1 (en) 2008-09-29 2014-06-17 Wai Wu Parallel signal processing system and method
NO332205B1 (no) * 2008-12-30 2012-07-30 Cisco Systems Int Sarl Implementering av entropikoding/dekoding av transformasjonskoeffisientdata til videokompressjonssystemer i datamaskininnretninger
US8879632B2 (en) 2010-02-18 2014-11-04 Qualcomm Incorporated Fixed point implementation for geometric motion partitioning
CN102845062B (zh) * 2010-04-12 2015-04-29 高通股份有限公司 用于几何运动分割的定点实施方案
US9185422B2 (en) 2010-07-15 2015-11-10 Qualcomm Incorporated Variable localized bit-depth increase for fixed-point transforms in video coding
CN103125116A (zh) 2010-09-28 2013-05-29 三星电子株式会社 视频编码方法和装置以及解码方法和装置
US9824066B2 (en) * 2011-01-10 2017-11-21 Qualcomm Incorporated 32-point transform for media data coding
US20120183045A1 (en) * 2011-01-18 2012-07-19 Louis Joseph Kerofsky Video decoder with reduced dynamic range transform including clipping
US20120183048A1 (en) * 2011-01-18 2012-07-19 Louis Joseph Kerofsky Video decoder with reduced dynamic range transform with multiple clipping
AU2016219700B2 (en) * 2011-01-18 2018-06-28 Dolby International Ab Video decoder with reduced dynamic range transform with inverse transform shifting memory
US9807395B2 (en) * 2011-01-18 2017-10-31 Dolby International Ab Video decoder with reduced dynamic range transform with inverse transform shifting memory
US20120183047A1 (en) * 2011-01-18 2012-07-19 Louis Joseph Kerofsky Video decoder with reduced dynamic range transform with inverse transform clipping
US20140072240A1 (en) * 2011-02-25 2014-03-13 Samsung Electronics Co., Ltd. Method and apparatus for converting an image, and method and apparatus for inverse converting an image
US9326001B2 (en) * 2011-03-22 2016-04-26 International Business Machines Corporation Scalable image distribution in virtualized server environments
MX344091B (es) 2011-06-30 2016-12-05 Samsung Electronics Co Ltd Metodo de codificacion de video con ajuste de profundidad de bits para conversion de punto fijo y aparato para el mismo, y metodo de decodificacion de video y aparato para el mismo.
CN103959780B (zh) * 2011-12-15 2017-10-13 寰发股份有限公司 量化电平截取装置及方法
WO2013086724A1 (en) * 2011-12-15 2013-06-20 Mediatek Singapore Pte. Ltd. Method of clippling transformed coefficients before de-quantization
US9749633B2 (en) 2012-01-19 2017-08-29 Vid Scale, Inc. System and method of video coding quantization and dynamic range control
US9131210B2 (en) 2012-03-16 2015-09-08 Texas Instruments Incorporated Low-complexity two-dimensional (2D) separable transform design with transpose buffer management
SG10201608592UA (en) 2012-05-25 2016-12-29 Sun Patent Trust Image coding method, image coding apparatus, image decoding method, image decoding apparatus, and image coding and decoding apparatus
PL2858354T3 (pl) 2012-05-25 2023-05-02 Sun Patent Trust Sposób kodowania obrazów wideo, sposób dekodowania obrazów wideo, urządzenie do kodowania obrazów wideo, urządzenie do dekodowania obrazów wideo oraz urządzenie do kodowania-dekodowania obrazów wideo
WO2013175736A1 (ja) 2012-05-25 2013-11-28 パナソニック株式会社 動画像符号化方法、動画像符号化装置、動画像復号方法、動画像復号装置、および、動画像符号化復号装置
RU2623798C2 (ru) 2012-06-04 2017-06-29 Сан Пэтент Траст Способ кодирования движущихся графических изображений, устройство кодирования движущихся графических изображений, способ декодирования движущихся графических изображений и устройство декодирования движущихся графических изображений
KR20130137951A (ko) * 2012-06-08 2013-12-18 한국전자통신연구원 초고해상도 영상 코덱을 위한 역변환 방법
US8806489B2 (en) 2012-07-05 2014-08-12 International Business Machines Corporation Virtual machine image distribution network
US9648332B2 (en) * 2013-10-28 2017-05-09 Qualcomm Incorporated Adaptive inter-color component residual prediction
JP6102707B2 (ja) * 2013-12-05 2017-03-29 Ｎｔｔエレクトロニクス株式会社 デジタル符号化装置
US9516345B2 (en) 2014-03-17 2016-12-06 Qualcomm Incorporated Systems and methods for low complexity forward transforms using mesh-based calculations
US9432696B2 (en) 2014-03-17 2016-08-30 Qualcomm Incorporated Systems and methods for low complexity forward transforms using zeroed-out coefficients
US10057587B2 (en) * 2015-01-31 2018-08-21 Qualcomm Incorporated Coding escape pixels for palette mode coding
KR101644039B1 (ko) * 2015-06-11 2016-07-29 에스케이텔레콤 주식회사 고정소수점 연산 방법 및 고정소수점 연산 장치
CN115066896A (zh) 2019-12-06 2022-09-16 弗劳恩霍夫应用研究促进协会 具有模式全局设置的基于矩阵的帧内预测
EP3849089A1 (en) * 2020-01-09 2021-07-14 Microsoft Technology Licensing, LLC Encoding for data recovery in storage systems

Family Cites Families (62)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3120605A (en) * 1959-09-02 1964-02-04 Technion Res & Dev Foundation General purpose transistorized function generator
US3982112A (en) * 1974-12-23 1976-09-21 General Electric Company Recursive numerical processor
JP2811369B2 (ja) * 1989-01-27 1998-10-15 ドルビー・ラボラトリーズ・ライセンシング・コーポレーション 高品質オーディオ用短時間遅延変換コーダ、デコーダ、及びエンコーダ・デコーダ
US5129015A (en) 1990-04-19 1992-07-07 Ricoh Company Ltd. Apparatus and method for compressing still images without multiplication
DE9016732U1 (zh) 1990-12-11 1992-04-09 Robert Bosch Gmbh, 7000 Stuttgart, De
US5122875A (en) 1991-02-27 1992-06-16 General Electric Company An HDTV compression system
RU2096955C1 (ru) 1991-03-01 1997-11-27 Е.И.Дюпон Де Немур Энд Компани Вододиспергируемая гранулированная пестицидная композиция, получаемая методом экструзии, и способ ее получения
JPH0530470A (ja) * 1991-07-19 1993-02-05 Sony Corp デイジタルビデオ信号の記録および／または再生方法
US5285402A (en) 1991-11-22 1994-02-08 Intel Corporation Multiplyless discrete cosine transform
US5539836A (en) 1991-12-20 1996-07-23 Alaris Inc. Method and apparatus for the realization of two-dimensional discrete cosine transform for an 8*8 image fragment
TW224553B (en) 1993-03-01 1994-06-01 Sony Co Ltd Method and apparatus for inverse discrete consine transform and coding/decoding of moving picture
DE69416372T2 (de) * 1993-03-31 1999-08-26 Sony Corp Signalprozessor
JP2816295B2 (ja) * 1993-05-21 1998-10-27 鐘紡株式会社 離散コサイン変換方法および離散コサイン変換回路
RU2122295C1 (ru) 1994-04-29 1998-11-20 Виктор Павлович Дворкович Способ покадрового сжатия изображений
US6549666B1 (en) 1994-09-21 2003-04-15 Ricoh Company, Ltd Reversible embedded wavelet system implementation
US5701263A (en) 1995-08-28 1997-12-23 Hyundai Electronics America Inverse discrete cosine transform processor for VLSI implementation
US6026183A (en) 1995-10-27 2000-02-15 Texas Instruments Incorporated Content-based video compression
JP3302870B2 (ja) * 1995-12-11 2002-07-15 三菱電機株式会社 センサのバイアス誤差推定装置
US5825927A (en) 1996-01-16 1998-10-20 Hitachi America, Ltd. Methods and apparatus for encoding video data in a manner that is well suited for decoding by regular or downconverting decoders
US5754456A (en) 1996-03-05 1998-05-19 Intel Corporation Computer system performing an inverse cosine transfer function for use with multimedia information
US6020838A (en) 1996-12-23 2000-02-01 National Instruments Corporation System and method for generating a sigma-delta correction circuit using matrix calculation of linearity error correction coefficients
EP0956703B1 (de) 1997-01-31 2001-09-19 Siemens Aktiengesellschaft Verfahren und anordnung zur codierung und decodierung eines digitalisierten bildes
TW376628B (en) 1997-05-06 1999-12-11 Holtek Semiconductor Inc Method of accelerating JPEG quantization calculation in image compression
US6134270A (en) 1997-06-13 2000-10-17 Sun Microsystems, Inc. Scaled forward and inverse discrete cosine transform and video compression/decompression systems employing the same
JP3524747B2 (ja) 1998-01-30 2004-05-10 三洋電機株式会社 離散コサイン変換回路
WO1999039303A1 (en) 1998-02-02 1999-08-05 The Trustees Of The University Of Pennsylvania Method and system for computing 8x8 dct/idct and a vlsi implementation
TW395135B (en) 1998-03-03 2000-06-21 Nat Science Council A high throughput and regular architecture of 2-D 8x8 DCT/IDCT using direct form
US6539058B1 (en) * 1998-04-13 2003-03-25 Hitachi America, Ltd. Methods and apparatus for reducing drift due to averaging in reduced resolution video decoders
US6310919B1 (en) 1998-05-07 2001-10-30 Sarnoff Corporation Method and apparatus for adaptively scaling motion vector information in an information stream decoder
US6792149B1 (en) 1998-05-07 2004-09-14 Sarnoff Corporation Method and apparatus for resizing an image frame including field-mode encoding
KR20000013653A (ko) 1998-08-12 2000-03-06 이종하 정/역 최적화 정수형 여현변환장치 및 그 방법
EP0990992A3 (de) 1998-09-28 2002-02-13 Siemens Aktiengesellschaft Diskreter/invers-diskreter Cosinus-Transformationsvorrichtung und Anordnung
GB2347038A (en) 1999-02-18 2000-08-23 Nokia Mobile Phones Ltd A video codec using re-transmission
US6167092A (en) 1999-08-12 2000-12-26 Packetvideo Corporation Method and device for variable complexity decoding of motion-compensated block-based compressed digital video
US6529634B1 (en) 1999-11-08 2003-03-04 Qualcomm, Inc. Contrast sensitive variance based adaptive block size DCT image compression
KR100683380B1 (ko) 2000-02-21 2007-02-15 주식회사 팬택앤큐리텔 영상 압축 부호화를 위한 변환 및 역변환 방법 및 장치
JP2001318910A (ja) 2000-02-29 2001-11-16 Sony Corp 逆離散コサイン変換装置
DE10116204A1 (de) 2000-08-12 2002-02-21 Bosch Gmbh Robert Verfahren zur ganzzahligen Approximation von Transformationskoeffizienten sowie Coder und Decoder
KR100357689B1 (ko) 2000-11-13 2002-10-19 삼성전자 주식회사 일관된 화질을 가지는 실시간 가변 비트율 엠펙 비디오전송 시스템
US6859815B2 (en) 2000-12-19 2005-02-22 Koninklijke Philips Electronics N.V. Approximate inverse discrete cosine transform for scalable computation complexity video and still image decoding
US6799192B1 (en) 2001-01-09 2004-09-28 Apple Computer, Inc. Method and apparatus for inverse discrete cosine transform
US6873655B2 (en) 2001-01-09 2005-03-29 Thomson Licensing A.A. Codec system and method for spatially scalable video data
US8374237B2 (en) 2001-03-02 2013-02-12 Dolby Laboratories Licensing Corporation High precision encoding and decoding of video images
JP2002374531A (ja) 2001-06-15 2002-12-26 Victor Co Of Japan Ltd 復号装置
US7082450B2 (en) * 2001-08-30 2006-07-25 Nokia Corporation Implementation of a transform and of a subsequent quantization
US6909753B2 (en) 2001-12-05 2005-06-21 Koninklijke Philips Electronics, N.V. Combined MPEG-4 FGS and modulation algorithm for wireless video transmission
US7007055B2 (en) 2002-03-12 2006-02-28 Intel Corporation Method of performing NxM Discrete Cosine Transform
US20030215011A1 (en) 2002-05-17 2003-11-20 General Instrument Corporation Method and apparatus for transcoding compressed video bitstreams
US7379956B2 (en) 2002-07-14 2008-05-27 Apple Inc. Encoding and decoding data arrays
KR100376060B1 (en) 2002-10-25 2003-03-17 Humax Co Ltd Method and system for re-setting image size using inverse discrete cosine transform
US7792891B2 (en) 2002-12-11 2010-09-07 Nvidia Corporation Forward discrete cosine transform engine
CN1326397C (zh) * 2003-06-02 2007-07-11 杭州高特信息技术有限公司 一种dct快速变换结构
TWI224931B (en) 2003-07-04 2004-12-01 Mediatek Inc Scalable system for inverse discrete cosine transform and method thereof
TWI257054B (en) 2003-09-03 2006-06-21 Mediatek Inc Rapid and low cost of inverse discrete cosine transform system and method thereof
WO2005032117A2 (en) 2003-09-24 2005-04-07 Texas Instruments Incorporated 8x8 transform and quantization
GB0323038D0 (en) 2003-10-02 2003-11-05 Koninkl Philips Electronics Nv Method and apparatus for improved inverse transform calculation
JP3951036B2 (ja) 2003-11-27 2007-08-01 インターナショナル・ビジネス・マシーンズ・コーポレーション 動的小数点方式、動的小数点演算方法、並びに２次元逆離散コサイン変換方法及びその装置
US20050196055A1 (en) 2004-03-04 2005-09-08 Sheng Zhong Method and system for codifying signals that ensure high fidelity reconstruction
US7730116B2 (en) 2004-12-14 2010-06-01 Stmicroelectronics, Inc. Method and system for fast implementation of an approximation of a discrete cosine transform
US8606023B2 (en) 2006-06-26 2013-12-10 Qualcomm Incorporated Reduction of errors during computation of inverse discrete cosine transform
US8571340B2 (en) 2006-06-26 2013-10-29 Qualcomm Incorporated Efficient fixed-point approximations of forward and inverse discrete cosine transforms
US8300698B2 (en) 2006-10-23 2012-10-30 Qualcomm Incorporated Signalling of maximum dynamic range of inverse discrete cosine transform

Also Published As

Publication number Publication date
JP5086343B2 (ja) 2012-11-28
CA2653692C (en) 2013-07-30
JP2010505154A (ja) 2010-02-18
CA2653693A1 (en) 2008-01-03
CN102016829B (zh) 2015-10-14
US8606023B2 (en) 2013-12-10
CA2653692A1 (en) 2008-01-03
WO2008002881A2 (en) 2008-01-03
TWI382767B (zh) 2013-01-11
CA2653693C (en) 2013-07-23
JP2010501911A (ja) 2010-01-21
WO2008002897A2 (en) 2008-01-03
KR20090016732A (ko) 2009-02-17
TW200814738A (en) 2008-03-16
KR20090027670A (ko) 2009-03-17
TW200814792A (en) 2008-03-16
BRPI0712984A2 (pt) 2012-04-03
EP2035959A2 (en) 2009-03-18
EP2035958A2 (en) 2009-03-18
CN102016829A (zh) 2011-04-13
CN102007489B (zh) 2014-04-23
JP5269782B2 (ja) 2013-08-21
WO2008002897A3 (en) 2011-01-06
KR100982156B1 (ko) 2010-09-14
US20070297504A1 (en) 2007-12-27
KR101013344B1 (ko) 2011-02-14
JP2013211011A (ja) 2013-10-10
US20070299897A1 (en) 2007-12-27
IN2014MN01239A (zh) 2015-07-03
JP5661836B2 (ja) 2015-01-28
US8385424B2 (en) 2013-02-26
EP2035959B1 (en) 2020-06-17
CN102007489A (zh) 2011-04-06
WO2008002881A3 (en) 2011-01-06

Similar Documents

Publication Publication Date Title
TWI373255B (en) Reduction of errors during computation of inverse discrete cosine transform
IL225132A (en) Flexible attribution of defined values to a particular variable
EP2119627A4 (en) NOISE REDUCTION DEVICE
GB0604895D0 (en) Piping
GB0903438D0 (en) Computational music-tempo estimation
IL194202A0 (en) Treatment using citrulline
EP2260328A4 (en) Wavefront-defined radon transform
IL198791A0 (en) Tourniquet system
EP2088925A4 (en) DYNAMIC POSITIONING SYSTEM OF A PATIENT
HK1131127A1 (en) Binding inhibitor of sphingosine-1-phosphate
DK2018369T3 (da) Gerotormotor og bremseanordnung
EP2005624A4 (en) METHOD AND ARRANGEMENT FOR NOISE INCREASE ESTIMATION
GB2438951B (en) Low frequency model estimation
ZA200905324B (en) Shape representation using fourier transforms
IL197234A0 (en) Position estimation method and related device
EP1999606A4 (en) IMPROVED METHOD USED FOR PARALLEL CALCULATION OF QUICK FOURIER TRANSFORMATION
GB2448755B (en) FFT processor
GB0722744D0 (en) Apparatus for use with structures having mounting flanges
EP2049826A4 (en) PIPELINE
EP2069367A4 (en) HYDROPHILIC SILICONE
PL2491964T3 (pl) Powłoka elastomeryczna
EP2510459A4 (en) Circuits for shared flow graph based discrete cosine transform
GB0625123D0 (en) Phase contrast encoding
GB0621538D0 (en) Free running lock nut
GB2437572B (en) Digital-to-analouge converters

Legal Events

Date Code Title Description
MM4A Annulment or lapse of patent due to non-payment of fees