TWI343534B - Method for transforming a digital signal from the time domain into the frequency domain and vice versa - Google Patents

Method for transforming a digital signal from the time domain into the frequency domain and vice versa Download PDF

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Publication number
TWI343534B
TWI343534B TW093129239A TW93129239A TWI343534B TW I343534 B TWI343534 B TW I343534B TW 093129239 A TW093129239 A TW 093129239A TW 93129239 A TW93129239 A TW 93129239A TW I343534 B TWI343534 B TW I343534B
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TW
Taiwan
Prior art keywords
conversion
matrix
digital signal
integer
mdct
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TW093129239A
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English (en)
Chinese (zh)
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TW200529040A (en
Inventor
Haibin Huang
Xiao Lin
Susanto Rahardja
Rongshan Yu
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Agency Science Tech & Res
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Publication of TW200529040A publication Critical patent/TW200529040A/zh
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Publication of TWI343534B publication Critical patent/TWI343534B/zh

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    • 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
    • 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
    • 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 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
    • G06F17/141—Discrete Fourier transforms
    • 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
    • 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

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  • 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)
  • Health & Medical Sciences (AREA)
  • Computational Linguistics (AREA)
  • Spectroscopy & Molecular Physics (AREA)
  • Audiology, Speech & Language Pathology (AREA)
  • Human Computer Interaction (AREA)
  • Acoustics & Sound (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Complex Calculations (AREA)
  • Compression Or Coding Systems Of Tv Signals (AREA)
  • Magnetic Resonance Imaging Apparatus (AREA)
TW093129239A 2003-09-29 2004-09-27 Method for transforming a digital signal from the time domain into the frequency domain and vice versa TWI343534B (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US50744003P 2003-09-29 2003-09-29
US50721003P 2003-09-29 2003-09-29
PCT/SG2004/000121 WO2005031596A1 (en) 2003-09-29 2004-05-06 Method for transforming a digital signal from the time domain into the frequency domain and vice versa

Publications (2)

Publication Number Publication Date
TW200529040A TW200529040A (en) 2005-09-01
TWI343534B true TWI343534B (en) 2011-06-11

Family

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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
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
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

Family Applications Before (1)

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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
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

Country Status (8)

Country Link
US (3) US20070276894A1 (enExample)
EP (3) EP1687736A1 (enExample)
JP (3) JP4429316B2 (enExample)
KR (2) KR100885437B1 (enExample)
MX (2) MXPA06003508A (enExample)
MY (2) MY139788A (enExample)
TW (3) TW200527224A (enExample)
WO (3) WO2005031597A1 (enExample)

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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
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WO2015164572A1 (en) 2014-04-25 2015-10-29 Dolby Laboratories Licensing Corporation Audio segmentation based on spatial metadata
US9794712B2 (en) 2014-04-25 2017-10-17 Dolby Laboratories Licensing Corporation Matrix decomposition for rendering adaptive audio using high definition audio codecs
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KR20180089858A (ko) * 2017-02-01 2018-08-09 엘지전자 주식회사 레이어드 기븐스 변환을 이용하여 변환을 수행하는 방법 및 장치
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US12278630B2 (en) * 2021-09-24 2025-04-15 Altera Corporation Fast fourier transform (FFT) based digital signal processing (DSP) engine

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WO2005031597A1 (en) * 2003-09-29 2005-04-07 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
KR100885438B1 (ko) 2009-02-24
WO2005031596A1 (en) 2005-04-07
JP2007507789A (ja) 2007-03-29
MY139788A (en) 2009-10-30
US20080030385A1 (en) 2008-02-07
US8126950B2 (en) 2012-02-28
JP2007507790A (ja) 2007-03-29
US8126951B2 (en) 2012-02-28
MY137920A (en) 2009-03-31
JP4429316B2 (ja) 2010-03-10
KR20070015363A (ko) 2007-02-02
KR100885437B1 (ko) 2009-02-24
WO2005031597A1 (en) 2005-04-07
JP4942793B2 (ja) 2012-05-30
EP1668533A1 (en) 2006-06-14
EP1668533A4 (en) 2013-08-21
US20070276893A1 (en) 2007-11-29
EP1668534A1 (en) 2006-06-14
TW200524290A (en) 2005-07-16
TWI348282B (en) 2011-09-01
JP2009266250A (ja) 2009-11-12
TW200527224A (en) 2005-08-16
EP1668534A4 (en) 2013-08-21
US20070276894A1 (en) 2007-11-29
MXPA06003509A (es) 2007-01-25
KR20070026325A (ko) 2007-03-08
TW200529040A (en) 2005-09-01
EP1687736A1 (en) 2006-08-09
MXPA06003508A (es) 2007-01-25
WO2005031595A1 (en) 2005-04-07

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