KR101679083B1 - 2개의 블록 변환으로의 중첩 변환의 분해 - Google Patents

2개의 블록 변환으로의 중첩 변환의 분해 Download PDF

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KR101679083B1
KR101679083B1 KR1020107026245A KR20107026245A KR101679083B1 KR 101679083 B1 KR101679083 B1 KR 101679083B1 KR 1020107026245 A KR1020107026245 A KR 1020107026245A KR 20107026245 A KR20107026245 A KR 20107026245A KR 101679083 B1 KR101679083 B1 KR 101679083B1
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산제브 메흐로트라
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마이크로소프트 테크놀로지 라이센싱, 엘엘씨
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    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10LSPEECH ANALYSIS TECHNIQUES OR SPEECH SYNTHESIS; SPEECH RECOGNITION; SPEECH OR VOICE PROCESSING TECHNIQUES; SPEECH OR AUDIO CODING OR DECODING
    • G10L19/00Speech or audio signals analysis-synthesis techniques for redundancy reduction, e.g. in vocoders; Coding or decoding of speech or audio signals, using source filter models or psychoacoustic analysis
    • G10L19/0017Lossless audio signal coding; Perfect reconstruction of coded audio signal by transmission of coding error
    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10LSPEECH ANALYSIS TECHNIQUES OR SPEECH SYNTHESIS; SPEECH RECOGNITION; SPEECH OR VOICE PROCESSING TECHNIQUES; SPEECH OR AUDIO CODING OR DECODING
    • G10L19/00Speech or audio signals analysis-synthesis techniques for redundancy reduction, e.g. in vocoders; Coding or decoding of speech or audio signals, using source filter models or psychoacoustic analysis
    • G10L19/02Speech or audio signals analysis-synthesis techniques for redundancy reduction, e.g. in vocoders; Coding or decoding of speech or audio signals, using source filter models or psychoacoustic analysis using spectral analysis, e.g. transform vocoders or subband vocoders
    • G10L19/0212Speech or audio signals analysis-synthesis techniques for redundancy reduction, e.g. in vocoders; Coding or decoding of speech or audio signals, using source filter models or psychoacoustic analysis using spectral analysis, e.g. transform vocoders or subband vocoders using orthogonal transformation
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/14Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/147Discrete 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
    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10LSPEECH ANALYSIS TECHNIQUES OR SPEECH SYNTHESIS; SPEECH RECOGNITION; SPEECH OR VOICE PROCESSING TECHNIQUES; SPEECH OR AUDIO CODING OR DECODING
    • G10L19/00Speech or audio signals analysis-synthesis techniques for redundancy reduction, e.g. in vocoders; Coding or decoding of speech or audio signals, using source filter models or psychoacoustic analysis
    • G10L19/02Speech or audio signals analysis-synthesis techniques for redundancy reduction, e.g. in vocoders; Coding or decoding of speech or audio signals, using source filter models or psychoacoustic analysis using spectral analysis, e.g. transform vocoders or subband vocoders
    • G10L19/022Blocking, i.e. grouping of samples in time; Choice of analysis windows; Overlap factoring

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Computational Linguistics (AREA)
  • Signal Processing (AREA)
  • Health & Medical Sciences (AREA)
  • Audiology, Speech & Language Pathology (AREA)
  • Human Computer Interaction (AREA)
  • Acoustics & Sound (AREA)
  • Multimedia (AREA)
  • Mathematical Physics (AREA)
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  • Spectroscopy & Molecular Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Data Mining & Analysis (AREA)
  • Theoretical Computer Science (AREA)
  • Discrete Mathematics (AREA)
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  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
KR1020107026245A 2008-05-30 2009-05-22 2개의 블록 변환으로의 중첩 변환의 분해 Active KR101679083B1 (ko)

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US12/130,862 2008-05-30
US12/130,862 US8447591B2 (en) 2008-05-30 2008-05-30 Factorization of overlapping tranforms into two block transforms
PCT/US2009/044983 WO2009148858A2 (en) 2008-05-30 2009-05-22 Factorization of overlapping transforms into two block transforms

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KR20110021803A KR20110021803A (ko) 2011-03-04
KR101679083B1 true KR101679083B1 (ko) 2016-11-23

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EP (1) EP2279562B1 (enExample)
JP (1) JP5400143B2 (enExample)
KR (1) KR101679083B1 (enExample)
CN (1) CN102047564B (enExample)
WO (1) WO2009148858A2 (enExample)

Families Citing this family (14)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8036274B2 (en) * 2005-08-12 2011-10-11 Microsoft Corporation SIMD lapped transform-based digital media encoding/decoding
US8369638B2 (en) 2008-05-27 2013-02-05 Microsoft Corporation Reducing DC leakage in HD photo transform
PT3300076T (pt) * 2008-07-11 2019-07-17 Fraunhofer Ges Forschung Codificador de áudio e descodificador de áudio
US8275209B2 (en) * 2008-10-10 2012-09-25 Microsoft Corporation Reduced DC gain mismatch and DC leakage in overlap transform processing
JP5270006B2 (ja) * 2008-12-24 2013-08-21 ドルビー ラボラトリーズ ライセンシング コーポレイション 周波数領域におけるオーディオ信号ラウドネス決定と修正
US8386266B2 (en) * 2010-07-01 2013-02-26 Polycom, Inc. Full-band scalable audio codec
CN102611883B (zh) * 2011-01-19 2014-07-30 华为技术有限公司 编码方法、解码方法及装置
KR20150032614A (ko) * 2012-06-04 2015-03-27 삼성전자주식회사 오디오 부호화방법 및 장치, 오디오 복호화방법 및 장치, 및 이를 채용하는 멀티미디어 기기
ES2736309T3 (es) 2013-02-20 2019-12-27 Fraunhofer Ges Forschung Aparato y procedimiento para codificar o descodificar una señal de audio utilizando una superposición que depende de una ubicación de transitorios
KR20160074540A (ko) 2013-10-17 2016-06-28 다우 아그로사이언시즈 엘엘씨 살충성 화합물의 제조 방법
CN107895580B (zh) * 2016-09-30 2021-06-01 华为技术有限公司 一种音频信号的重建方法和装置
WO2018201113A1 (en) * 2017-04-28 2018-11-01 Dts, Inc. Audio coder window and transform implementations
CN110233626B (zh) * 2019-07-05 2022-10-25 重庆邮电大学 基于二维自适应量化的机械振动信号边缘数据无损压缩方法
CN118571234A (zh) * 2023-02-28 2024-08-30 华为技术有限公司 音频编解码方法及相关装置

Family Cites Families (94)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4754492A (en) * 1985-06-03 1988-06-28 Picturetel Corporation Method and system for adapting a digitized signal processing system for block processing with minimal blocking artifacts
US4698672A (en) * 1986-10-27 1987-10-06 Compression Labs, Inc. Coding system for reducing redundancy
US5297236A (en) * 1989-01-27 1994-03-22 Dolby Laboratories Licensing Corporation Low computational-complexity digital filter bank for encoder, decoder, and encoder/decoder
JP2549479B2 (ja) * 1991-12-06 1996-10-30 日本電信電話株式会社 動き補償フレーム間帯域分割符号化処理方法
KR0148130B1 (ko) * 1992-05-18 1998-09-15 강진구 블럭킹아티팩트를 억제시키는 부호화/복호화 방법 및 그 장치
JP3401823B2 (ja) 1993-03-31 2003-04-28 ソニー株式会社 画像コーデック用プロセッサ
US5982459A (en) * 1995-05-31 1999-11-09 8×8, Inc. Integrated multimedia communications processor and codec
FR2737931B1 (fr) * 1995-08-17 1998-10-02 Siemens Ag Procede destine au traitement de blocs d'images decodes d'un procede de codage d'images a base de blocs
US5959673A (en) * 1995-10-05 1999-09-28 Microsoft Corporation Transform coding of dense motion vector fields for frame and object based video coding applications
US6064776A (en) * 1995-10-27 2000-05-16 Kabushiki Kaisha Toshiba Image processing apparatus
US5850294A (en) * 1995-12-18 1998-12-15 Lucent Technologies Inc. Method and apparatus for post-processing images
KR100196838B1 (ko) * 1995-12-23 1999-06-15 전주범 블럭벌 상관 관계에 의한 부호화 장치
US5805739A (en) * 1996-04-02 1998-09-08 Picturetel Corporation Lapped orthogonal vector quantization
JPH1070717A (ja) * 1996-06-19 1998-03-10 Matsushita Electric Ind Co Ltd 画像符号化装置及び画像復号化装置
JP2907146B2 (ja) * 1996-09-11 1999-06-21 日本電気株式会社 メモリlsiの特定箇所探索方法および探索装置
US6233017B1 (en) * 1996-09-16 2001-05-15 Microsoft Corporation Multimedia compression system with adaptive block sizes
US5999656A (en) * 1997-01-17 1999-12-07 Ricoh Co., Ltd. Overlapped reversible transforms for unified lossless/lossy compression
KR100261253B1 (ko) 1997-04-02 2000-07-01 윤종용 비트율 조절이 가능한 오디오 부호화/복호화 방법및 장치
US5973755A (en) * 1997-04-04 1999-10-26 Microsoft Corporation Video encoder and decoder using bilinear motion compensation and lapped orthogonal transforms
US6101279A (en) * 1997-06-05 2000-08-08 Wisconsin Alumni Research Foundation Image compression system using block transforms and tree-type coefficient truncation
JP3375539B2 (ja) 1997-07-14 2003-02-10 ペンタックス株式会社 画像圧縮装置および画像伸張装置
US5859788A (en) * 1997-08-15 1999-01-12 The Aerospace Corporation Modulated lapped transform method
TW364269B (en) 1998-01-02 1999-07-11 Winbond Electronic Corp Discreet cosine transform/inverse discreet cosine transform circuit
US6393156B1 (en) * 1998-01-07 2002-05-21 Truong Q. Nguyen Enhanced transform compatibility for standardized data compression
US6393061B1 (en) * 1998-05-15 2002-05-21 Hughes Electronics Corporation Method for reducing blocking artifacts in digital images
US6029126A (en) * 1998-06-30 2000-02-22 Microsoft Corporation Scalable audio coder and decoder
US6115689A (en) * 1998-05-27 2000-09-05 Microsoft Corporation Scalable audio coder and decoder
US6073153A (en) * 1998-06-03 2000-06-06 Microsoft Corporation Fast system and method for computing modulated lapped transforms
US6154762A (en) * 1998-06-03 2000-11-28 Microsoft Corporation Fast system and method for computing modulated lapped transforms
US6253165B1 (en) * 1998-06-30 2001-06-26 Microsoft Corporation System and method for modeling probability distribution functions of transform coefficients of encoded signal
US6011625A (en) * 1998-07-08 2000-01-04 Lockheed Martin Corporation Method for phase unwrapping in imaging systems
US6421464B1 (en) * 1998-12-16 2002-07-16 Fastvdo Llc Fast lapped image transforms using lifting steps
US6496795B1 (en) * 1999-05-05 2002-12-17 Microsoft Corporation Modulated complex lapped transform for integrated signal enhancement and coding
US6487574B1 (en) * 1999-02-26 2002-11-26 Microsoft Corp. System and method for producing modulated complex lapped transforms
US6370502B1 (en) * 1999-05-27 2002-04-09 America Online, Inc. Method and system for reduction of quantization-induced block-discontinuities and general purpose audio codec
US6771829B1 (en) * 1999-10-23 2004-08-03 Fastvdo Llc Method for local zerotree image coding
US6377916B1 (en) * 1999-11-29 2002-04-23 Digital Voice Systems, Inc. Multiband harmonic transform coder
US6865229B1 (en) * 1999-12-14 2005-03-08 Koninklijke Philips Electronics N.V. Method and apparatus for reducing the “blocky picture” effect in MPEG decoded images
US6771828B1 (en) * 2000-03-03 2004-08-03 Microsoft Corporation System and method for progessively transform coding digital data
US7177358B2 (en) * 2000-06-27 2007-02-13 Mitsubishi Denki Kabushiki Kaisha Picture coding apparatus, and picture coding method
US6832232B1 (en) * 2000-07-10 2004-12-14 Advanced Micro Devices, Inc. Dual-block inverse discrete cosine transform method
WO2002007438A1 (en) 2000-07-17 2002-01-24 Trustees Of Boston University Generalized lapped biorthogonal transform embedded inverse discrete cosine transform and low bit rate video sequence coding artifact removal
CN1266649C (zh) * 2000-09-12 2006-07-26 皇家菲利浦电子有限公司 视频编码方法
EP1202219A1 (en) 2000-10-30 2002-05-02 Fast Video, LLC Fast lapped image transforms
JP2002182693A (ja) 2000-12-13 2002-06-26 Nec Corp オーディオ符号化、復号装置及びその方法並びにその制御プログラム記録媒体
WO2002051157A2 (en) * 2000-12-19 2002-06-27 Pulsent Corporation Adaptive transforms
JP2002304624A (ja) 2001-04-05 2002-10-18 Canon Inc フィルタ処理装置及び撮像装置
US7027654B1 (en) * 2001-08-16 2006-04-11 On2 Technologies Video compression system
US6882685B2 (en) * 2001-09-18 2005-04-19 Microsoft Corporation Block transform and quantization for image and video coding
JP2003141562A (ja) 2001-10-29 2003-05-16 Sony Corp 非平面画像の画像処理装置及び画像処理方法、記憶媒体、並びにコンピュータ・プログラム
US7460993B2 (en) * 2001-12-14 2008-12-02 Microsoft Corporation Adaptive window-size selection in transform coding
ES2610430T3 (es) 2001-12-17 2017-04-27 Microsoft Technology Licensing, Llc Codificación por omisión de macrobloques
CN101448162B (zh) * 2001-12-17 2013-01-02 微软公司 处理视频图像的方法
US6763068B2 (en) * 2001-12-28 2004-07-13 Nokia Corporation Method and apparatus for selecting macroblock quantization parameters in a video encoder
JP2003283840A (ja) 2002-03-25 2003-10-03 Canon Inc フィルタ処理装置およびフィルタ処理方法
US7006699B2 (en) * 2002-03-27 2006-02-28 Microsoft Corporation System and method for progressively transforming and coding digital data
US7155065B1 (en) * 2002-03-27 2006-12-26 Microsoft Corporation System and method for progressively transforming and coding digital data
US7110941B2 (en) * 2002-03-28 2006-09-19 Microsoft Corporation System and method for embedded audio coding with implicit auditory masking
JP3855827B2 (ja) 2002-04-05 2006-12-13 ソニー株式会社 2次元サブバンド符号化装置
US7275036B2 (en) * 2002-04-18 2007-09-25 Fraunhofer-Gesellschaft Zur Foerderung Der Angewandten Forschung E.V. Apparatus and method for coding a time-discrete audio signal to obtain coded audio data and for decoding coded audio data
US7120297B2 (en) * 2002-04-25 2006-10-10 Microsoft Corporation Segmented layered image system
US7242713B2 (en) * 2002-05-02 2007-07-10 Microsoft Corporation 2-D transforms for image and video coding
GB2388502A (en) * 2002-05-10 2003-11-12 Chris Dunn Compression of frequency domain audio signals
US7376280B2 (en) * 2002-07-14 2008-05-20 Apple Inc Video encoding and decoding
US6728315B2 (en) * 2002-07-24 2004-04-27 Apple Computer, Inc. Method and apparatus for variable accuracy inter-picture timing specification for digital video encoding with reduced requirements for division operations
US7502743B2 (en) * 2002-09-04 2009-03-10 Microsoft Corporation Multi-channel audio encoding and decoding with multi-channel transform selection
US7031392B2 (en) * 2002-09-20 2006-04-18 Seiko Epson Corporation Method and apparatus for video deblocking
US7227901B2 (en) * 2002-11-21 2007-06-05 Ub Video Inc. Low-complexity deblocking filter
JP2004201047A (ja) 2002-12-19 2004-07-15 Ricoh Co Ltd 画像処理装置、プログラム及び記憶媒体
US7542036B2 (en) * 2003-02-19 2009-06-02 California Institute Of Technology Level set surface editing operators
US7239990B2 (en) * 2003-02-20 2007-07-03 Robert Struijs Method for the numerical simulation of a physical phenomenon with a preferential direction
US7167522B2 (en) * 2003-02-27 2007-01-23 Texas Instruments Incorporated Video deblocking filter
US7471726B2 (en) * 2003-07-15 2008-12-30 Microsoft Corporation Spatial-domain lapped transform in digital media compression
US20080075377A1 (en) * 2003-07-29 2008-03-27 Topiwala Pankaj N Fast lapped image transforms using lifting steps
US7724827B2 (en) * 2003-09-07 2010-05-25 Microsoft Corporation Multi-layer run level encoding and decoding
DE10345996A1 (de) 2003-10-02 2005-04-28 Fraunhofer Ges Forschung Vorrichtung und Verfahren zum Verarbeiten von wenigstens zwei Eingangswerten
US7315822B2 (en) * 2003-10-20 2008-01-01 Microsoft Corp. System and method for a media codec employing a reversible transform obtained via matrix lifting
US7460990B2 (en) * 2004-01-23 2008-12-02 Microsoft Corporation Efficient coding of digital media spectral data using wide-sense perceptual similarity
KR101044940B1 (ko) * 2004-06-23 2011-06-28 삼성전자주식회사 에지 플로우 방향성 필터와 커블릿 변환을 이용한 블록현상 제거 방법 및 장치
US8374238B2 (en) 2004-07-13 2013-02-12 Microsoft Corporation Spatial scalability in 3D sub-band decoding of SDMCTF-encoded video
CN101010729A (zh) * 2004-08-31 2007-08-01 皇家飞利浦电子股份有限公司 用于转码的方法和设备
US7471850B2 (en) * 2004-12-17 2008-12-30 Microsoft Corporation Reversible transform for lossy and lossless 2-D data compression
US7305139B2 (en) * 2004-12-17 2007-12-04 Microsoft Corporation Reversible 2-dimensional pre-/post-filtering for lapped biorthogonal transform
US7428342B2 (en) 2004-12-17 2008-09-23 Microsoft Corporation Reversible overlap operator for efficient lossless data compression
AU2005239628B2 (en) 2005-01-14 2010-08-05 Microsoft Technology Licensing, Llc Reversible 2-dimensional pre-/post-filtering for lapped biorthogonal transform
US7634525B2 (en) * 2005-06-27 2009-12-15 The Aerospace Corporation Haar wavelet transform embedded lossless type IV discrete cosine transform
US7805476B2 (en) * 2005-06-27 2010-09-28 The Aerospace Corporation Extended Haar transform
US7640283B2 (en) * 2005-06-27 2009-12-29 The Aerospace Corporation Shared Haar wavelet transform
US7613761B2 (en) * 2005-06-27 2009-11-03 The Aerospace Corporation Haar wavelet transform embedded lossless type II discrete cosine transform
US7933337B2 (en) * 2005-08-12 2011-04-26 Microsoft Corporation Prediction of transform coefficients for image compression
US8036274B2 (en) 2005-08-12 2011-10-11 Microsoft Corporation SIMD lapped transform-based digital media encoding/decoding
US20080137982A1 (en) * 2006-12-06 2008-06-12 Ayahiro Nakajima Blurring determination device, blurring determination method and printing apparatus
US8054886B2 (en) * 2007-02-21 2011-11-08 Microsoft Corporation Signaling and use of chroma sample positioning information
US8521540B2 (en) * 2007-08-17 2013-08-27 Qualcomm Incorporated Encoding and/or decoding digital signals using a permutation value

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
R. Geiger et al. IntMDCT-A link between perceptual and lossless audio coding, ICASSP, orlando, 13 May 2002, pp.1813-1816*

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CN102047564B (zh) 2013-08-21
CN102047564A (zh) 2011-05-04
US8447591B2 (en) 2013-05-21
JP2011522291A (ja) 2011-07-28
EP2279562A4 (en) 2012-07-11
WO2009148858A2 (en) 2009-12-10
JP5400143B2 (ja) 2014-01-29
US20090299754A1 (en) 2009-12-03
WO2009148858A3 (en) 2010-02-25
KR20110021803A (ko) 2011-03-04
EP2279562B1 (en) 2015-12-16
EP2279562A2 (en) 2011-02-02

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