TWI348282B - Method for performing a domain transformation of a digital signal from the time domain into the frequency domain and vice versa - Google Patents

Method for performing a domain transformation of a digital signal from the time domain into the frequency domain and vice versa

Info

Publication number
TWI348282B
TWI348282B TW093129238A TW93129238A TWI348282B TW I348282 B TWI348282 B TW I348282B TW 093129238 A TW093129238 A TW 093129238A TW 93129238 A TW93129238 A TW 93129238A TW I348282 B TWI348282 B TW I348282B
Authority
TW
Taiwan
Prior art keywords
domain
digital signal
vice versa
transformation
frequency domain
Prior art date
Application number
TW093129238A
Other languages
English (en)
Other versions
TW200524290A (en
Inventor
Haibin Huang
Xiao Lin
Susanto Rahardja
Rongshan Yu
Original Assignee
Agency Science Tech & Res
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 Agency Science Tech & Res filed Critical Agency Science Tech & Res
Publication of TW200524290A publication Critical patent/TW200524290A/zh
Application granted granted Critical
Publication of TWI348282B publication Critical patent/TWI348282B/zh

Links

Classifications

    • 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
    • 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
    • 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
    • G06F17/141—Discrete Fourier transforms
    • 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
    • G06F17/148—Wavelet transforms
    • G—PHYSICS
    • G10—MUSICAL INSTRUMENTS; ACOUSTICS
    • G10L—SPEECH ANALYSIS TECHNIQUES OR SPEECH SYNTHESIS; SPEECH RECOGNITION; SPEECH OR VOICE PROCESSING TECHNIQUES; SPEECH OR AUDIO CODING OR DECODING
    • G10L19/00—Speech 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
    • G10L19/02—Speech 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
    • G10L19/0212—Speech 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
    • 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
    • H04N19/63—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using transform coding using sub-band based transform, e.g. wavelets
    • G—PHYSICS
    • G10—MUSICAL INSTRUMENTS; ACOUSTICS
    • G10L—SPEECH ANALYSIS TECHNIQUES OR SPEECH SYNTHESIS; SPEECH RECOGNITION; SPEECH OR VOICE PROCESSING TECHNIQUES; SPEECH OR AUDIO CODING OR DECODING
    • G10L19/00—Speech 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
    • G10L19/0017—Lossless audio signal coding; Perfect reconstruction of coded audio signal by transmission of coding error
    • G—PHYSICS
    • G10—MUSICAL INSTRUMENTS; ACOUSTICS
    • G10L—SPEECH ANALYSIS TECHNIQUES OR SPEECH SYNTHESIS; SPEECH RECOGNITION; SPEECH OR VOICE PROCESSING TECHNIQUES; SPEECH OR AUDIO CODING OR DECODING
    • G10L19/00—Speech 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
    • G10L19/04—Speech 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 predictive techniques
    • G10L19/16—Vocoder architecture
    • G10L19/18—Vocoders using multiple modes
    • G10L19/24—Variable rate codecs, e.g. for generating different qualities using a scalable representation such as hierarchical encoding or layered encoding

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • Multimedia (AREA)
  • Signal Processing (AREA)
  • Discrete Mathematics (AREA)
  • Spectroscopy & Molecular Physics (AREA)
  • Computational Linguistics (AREA)
  • Health & Medical Sciences (AREA)
  • Audiology, Speech & Language Pathology (AREA)
  • Human Computer Interaction (AREA)
  • Acoustics & Sound (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Complex Calculations (AREA)
  • Magnetic Resonance Imaging Apparatus (AREA)
TW093129238A 2003-09-29 2004-09-27 Method for performing a domain transformation of a digital signal from the time domain into the frequency domain and vice versa TWI348282B (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US50721003P 2003-09-29 2003-09-29
US50744003P 2003-09-29 2003-09-29
PCT/SG2004/000120 WO2005031595A1 (en) 2003-09-29 2004-05-06 Method for performing a domain transformation of a digital signal from the time domain into the frequency domain and vice versa

Publications (2)

Publication Number Publication Date
TW200524290A TW200524290A (en) 2005-07-16
TWI348282B true TWI348282B (en) 2011-09-01

Family

ID=34396342

Family Applications (3)

Application Number Title Priority Date Filing Date
TW093129241A TW200527224A (en) 2003-09-29 2004-09-27 Process and device for determining a transforming element for a given transformation function, method and device for transforming a digital signal from the time domain into the frequency domain and vice versa and computer readable medium
TW093129238A TWI348282B (en) 2003-09-29 2004-09-27 Method for performing a domain transformation of a digital signal from the time domain into the frequency domain and vice versa
TW093129239A TWI343534B (en) 2003-09-29 2004-09-27 Method for transforming a digital signal from the time domain into the frequency domain and vice versa

Family Applications Before (1)

Application Number Title Priority Date Filing Date
TW093129241A TW200527224A (en) 2003-09-29 2004-09-27 Process and device for determining a transforming element for a given transformation function, method and device for transforming a digital signal from the time domain into the frequency domain and vice versa and computer readable medium

Family Applications After (1)

Application Number Title Priority Date Filing Date
TW093129239A TWI343534B (en) 2003-09-29 2004-09-27 Method for transforming a digital signal from the time domain into the frequency domain and vice versa

Country Status (8)

Country Link
US (3) US20070276894A1 (zh)
EP (3) EP1668534A4 (zh)
JP (3) JP2007507790A (zh)
KR (2) KR100885437B1 (zh)
MX (2) MXPA06003509A (zh)
MY (2) MY137920A (zh)
TW (3) TW200527224A (zh)
WO (3) WO2005031595A1 (zh)

Families Citing this family (18)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE10331803A1 (de) * 2003-07-14 2005-02-17 Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. Vorrichtung und Verfahren zum Umsetzen in eine transformierte Darstellung oder zum inversen Umsetzen der transformierten Darstellung
US20070276894A1 (en) * 2003-09-29 2007-11-29 Agency For Science, Technology And Research Process And Device For Determining A Transforming Element For A Given Transformation Function, Method And Device For Transforming A Digital Signal From The Time Domain Into The Frequency Domain And Vice Versa And Computer Readable Medium
DE10345996A1 (de) 2003-10-02 2005-04-28 Fraunhofer Ges Forschung Vorrichtung und Verfahren zum Verarbeiten von wenigstens zwei Eingangswerten
US7574064B2 (en) * 2005-04-12 2009-08-11 The Aerospace Corporation Fast lifting lossless wavelet transform
US7577307B2 (en) * 2005-04-12 2009-08-18 The Aerospace Corporation Fast adaptive lifting lossless wavelet transform
US8392176B2 (en) 2006-04-10 2013-03-05 Qualcomm Incorporated Processing of excitation in audio coding and decoding
US20100292986A1 (en) * 2007-03-16 2010-11-18 Nokia Corporation encoder
US20080288568A1 (en) * 2007-05-14 2008-11-20 Hou Hsieh S Low power Fast Hadamard transform
US8428957B2 (en) 2007-08-24 2013-04-23 Qualcomm Incorporated Spectral noise shaping in audio coding based on spectral dynamics in frequency sub-bands
US8548815B2 (en) * 2007-09-19 2013-10-01 Qualcomm Incorporated Efficient design of MDCT / IMDCT filterbanks for speech and audio coding applications
EP2211335A1 (en) * 2009-01-21 2010-07-28 Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. Apparatus, method and computer program for obtaining a parameter describing a variation of a signal characteristic of a signal
US8885701B2 (en) * 2010-09-08 2014-11-11 Samsung Electronics Co., Ltd. Low complexity transform coding using adaptive DCT/DST for intra-prediction
US8995532B2 (en) * 2010-09-30 2015-03-31 Texas Instruments Incorporated Low complexity large transform
US10068577B2 (en) 2014-04-25 2018-09-04 Dolby Laboratories Licensing Corporation Audio segmentation based on spatial metadata
EP3134897B1 (en) 2014-04-25 2020-05-20 Dolby Laboratories Licensing Corporation Matrix decomposition for rendering adaptive audio using high definition audio codecs
CN105895109B (zh) * 2016-05-10 2019-02-26 信阳师范学院 一种基于dwt和dct的数字语音取证和篡改恢复方法
KR20180089858A (ko) * 2017-02-01 2018-08-09 엘지전자 주식회사 레이어드 기븐스 변환을 이용하여 변환을 수행하는 방법 및 장치
EP3616196A4 (en) 2017-04-28 2021-01-20 DTS, Inc. AUDIO ENCODER WINDOW AND TRANSFORMATION IMPLEMENTATIONS

Family Cites Families (21)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4031038A (en) * 1975-06-16 1977-06-21 The Dow Chemical Company Water insoluble chelate exchange resins having a crosslinked polymer matrix and pendant thereto a plurality of methyleneaminopyridine groups
US5339265A (en) * 1992-08-31 1994-08-16 University Of Maryland At College Park Optimal unified architectures for the real-time computation of time-recursive discrete sinusoidal transforms
US5523847A (en) 1992-10-09 1996-06-04 International Business Machines Corporation Digital image processor for color image compression
DE69511064T2 (de) * 1994-11-09 2000-02-24 Koninkl Philips Electronics Nv System und verfahren zur übertragung von bild- oder tonsignalen
US5999656A (en) * 1997-01-17 1999-12-07 Ricoh Co., Ltd. Overlapped reversible transforms for unified lossless/lossy compression
US6058215A (en) * 1997-04-30 2000-05-02 Ricoh Company, Ltd. Reversible DCT for lossless-lossy compression
US6073153A (en) * 1998-06-03 2000-06-06 Microsoft Corporation Fast system and method for computing modulated lapped transforms
US6421464B1 (en) * 1998-12-16 2002-07-16 Fastvdo Llc Fast lapped image transforms using lifting steps
WO2000055757A1 (en) * 1999-03-17 2000-09-21 The Johns Hopkins University A fast multiplierless transform
US6681052B2 (en) * 2000-01-15 2004-01-20 Sony Corporation Methods and systems for performing inverse quantization and inverse weighting of DV video
AU2002220233A1 (en) * 2000-12-01 2002-06-11 Lizardtech, Inc. Method for lossless encoding of image data by approximating linear transforms and preserving selected properties
US6934676B2 (en) 2001-05-11 2005-08-23 Nokia Mobile Phones Ltd. Method and system for inter-channel signal redundancy removal in perceptual audio coding
DE10129240A1 (de) * 2001-06-18 2003-01-02 Fraunhofer Ges Forschung Verfahren und Vorrichtung zum Verarbeiten von zeitdiskreten Audio-Abtastwerten
JP3971135B2 (ja) * 2001-07-11 2007-09-05 株式会社テクノマセマティカル Ｄｃｔ行列分解方法及びｄｃｔ装置
US7082450B2 (en) * 2001-08-30 2006-07-25 Nokia Corporation Implementation of a transform and of a subsequent quantization
JP3796432B2 (ja) 2001-10-31 2006-07-12 キヤノン株式会社 フィルタ処理装置およびフィルタ処理方法
DE10217297A1 (de) * 2002-04-18 2003-11-06 Fraunhofer Ges Forschung Vorrichtung und Verfahren zum Codieren eines zeitdiskreten Audiosignals und Vorrichtung und Verfahren zum Decodieren von codierten Audiodaten
JP3902990B2 (ja) * 2002-07-02 2007-04-11 キヤノン株式会社 アダマール変換処理方法及びその装置
DE10236694A1 (de) * 2002-08-09 2004-02-26 Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. Vorrichtung und Verfahren zum skalierbaren Codieren und Vorrichtung und Verfahren zum skalierbaren Decodieren
DE10331803A1 (de) * 2003-07-14 2005-02-17 Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. Vorrichtung und Verfahren zum Umsetzen in eine transformierte Darstellung oder zum inversen Umsetzen der transformierten Darstellung
US20070276894A1 (en) * 2003-09-29 2007-11-29 Agency For Science, Technology And Research Process And Device For Determining A Transforming Element For A Given Transformation Function, Method And Device For Transforming A Digital Signal From The Time Domain Into The Frequency Domain And Vice Versa And Computer Readable Medium

Also Published As

Publication number Publication date
EP1668534A1 (en) 2006-06-14
WO2005031597A1 (en) 2005-04-07
US8126951B2 (en) 2012-02-28
TW200527224A (en) 2005-08-16
TW200524290A (en) 2005-07-16
TW200529040A (en) 2005-09-01
EP1668533A4 (en) 2013-08-21
JP4942793B2 (ja) 2012-05-30
JP2007507790A (ja) 2007-03-29
WO2005031596A1 (en) 2005-04-07
MXPA06003509A (es) 2007-01-25
US8126950B2 (en) 2012-02-28
JP2007507789A (ja) 2007-03-29
JP4429316B2 (ja) 2010-03-10
KR100885437B1 (ko) 2009-02-24
MXPA06003508A (es) 2007-01-25
WO2005031595A1 (en) 2005-04-07
EP1687736A1 (en) 2006-08-09
US20080030385A1 (en) 2008-02-07
EP1668534A4 (en) 2013-08-21
KR100885438B1 (ko) 2009-02-24
EP1668533A1 (en) 2006-06-14
US20070276893A1 (en) 2007-11-29
JP2009266250A (ja) 2009-11-12
MY137920A (en) 2009-03-31
MY139788A (en) 2009-10-30
US20070276894A1 (en) 2007-11-29
KR20070026325A (ko) 2007-03-08
KR20070015363A (ko) 2007-02-02
TWI343534B (en) 2011-06-11

Similar Documents

Publication Publication Date Title
TWI348282B (en) Method for performing a domain transformation of a digital signal from the time domain into the frequency domain and vice versa
EP1810397A4 (en) METHOD AND APPARATUS FOR FREQUENCY SYNTHESIS
TWI339952B (en) Frequency synthesizer and signal generating method
GB2406986B (en) Architecture and implementation methods of digital predistortion circuitry
AU2003229148A8 (en) Time domain equalization using frequency domain operations
AU2003206992A1 (en) Time and frequency synchronisation of equipment at different locations.
AU2003265488A8 (en) Method and apparatus for extending signal range
IL181891A0 (en) Method and apparatus for measuring the frequency of a received signal
EP1653627A4 (en) Audio signal band expansion device and method
GB2405236B (en) Method of and apparatus for determining clock frequencies
GB2456960B (en) High frequency signal interpolating method and high frequency signal interpolating apparatus
EP1677446A4 (en) FREQUENCY COMBINING DEVICE AND FREQUENCY COMBINATION PROCESS
GB0526570D0 (en) Method and device for removing known acoustic signal
GB0205410D0 (en) Method of digital recording
AU2003223282A1 (en) Method and apparatus for digital frequency conversion
EP1820314A4 (en) TRANSMITTER AND ASSOCIATED FREQUENCY HOPPING METHOD
AU2003211665A1 (en) A method and apparatus of estimating carrier frequency
GB0420450D0 (en) Method and system for frequency domain time correlation
GB2364815B (en) Method and apparatus for the electronic recording of time
GB2399951B (en) Apparatus and method for signal transformation
GB0307325D0 (en) Apparatus and method for the avoidance of RF interference
DE502004005682D1 (de) Verfahren und Vorrichtung zum Schätzen der Frequenz und/oder der Phase einer digitalen Signalfolge
AU2003226320A8 (en) Method and apparatus for frequency synthesis
GB0303324D0 (en) Apparatus and method of signal modulation
GB0205413D0 (en) Method of digital recording

Legal Events

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