Multi Mode Harmonic Transform Coding for Speech and Music
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The Discrete Cosine Transform (DCT): Theory and Application
The Discrete Cosine Transform (DCT): 1 Theory and Application Syed Ali Khayam Department of Electrical & Computer Engineering Michigan State University March 10th 2003 1 This document is intended to be tutorial in nature. No prior knowledge of image processing concepts is assumed. Interested readers should follow the references for advanced material on DCT. ECE 802 – 602: Information Theory and Coding Seminar 1 – The Discrete Cosine Transform: Theory and Application 1. Introduction Transform coding constitutes an integral component of contemporary image/video processing applications. Transform coding relies on the premise that pixels in an image exhibit a certain level of correlation with their neighboring pixels. Similarly in a video transmission system, adjacent pixels in consecutive frames2 show very high correlation. Consequently, these correlations can be exploited to predict the value of a pixel from its respective neighbors. A transformation is, therefore, defined to map this spatial (correlated) data into transformed (uncorrelated) coefficients. Clearly, the transformation should utilize the fact that the information content of an individual pixel is relatively small i.e., to a large extent visual contribution of a pixel can be predicted using its neighbors. A typical image/video transmission system is outlined in Figure 1. The objective of the source encoder is to exploit the redundancies in image data to provide compression. In other words, the source encoder reduces the entropy, which in our case means decrease in the average number of bits required to represent the image. On the contrary, the channel encoder adds redundancy to the output of the source encoder in order to enhance the reliability of the transmission. -
Fast Computational Structures for an Efficient Implementation of The
ARTICLE IN PRESS Signal Processing ] (]]]]) ]]]–]]] Contents lists available at ScienceDirect Signal Processing journal homepage: www.elsevier.com/locate/sigpro Fast computational structures for an efficient implementation of the complete TDAC analysis/synthesis MDCT/MDST filter banks Vladimir Britanak a,Ã, Huibert J. Lincklaen Arrie¨ns b a Institute of Informatics, Slovak Academy of Sciences, Dubravska cesta 9, 845 07 Bratislava, Slovak Republic b Delft University of Technology, Department of Electrical Engineering, Mathematics and Computer Science, Mekelweg 4, 2628 CD Delft, The Netherlands article info abstract Article history: A new fast computational structure identical both for the forward and backward Received 27 May 2008 modified discrete cosine/sine transform (MDCT/MDST) computation is described. It is Received in revised form the result of a systematic construction of a fast algorithm for an efficient implementa- 8 January 2009 tion of the complete time domain aliasing cancelation (TDAC) analysis/synthesis MDCT/ Accepted 10 January 2009 MDST filter banks. It is shown that the same computational structure can be used both for the encoder and the decoder, thus significantly reducing design time and resources. Keywords: The corresponding generalized signal flow graph is regular and defines new sparse Modified discrete cosine transform matrix factorizations of the discrete cosine transform of type IV (DCT-IV) and MDCT/ Modified discrete sine transform MDST matrices. The identical fast MDCT computational structure provides an efficient Modulated -
Block Transforms in Progressive Image Coding
This is page 1 Printer: Opaque this Blo ck Transforms in Progressive Image Co ding Trac D. Tran and Truong Q. Nguyen 1 Intro duction Blo ck transform co ding and subband co ding have b een two dominant techniques in existing image compression standards and implementations. Both metho ds actually exhibit many similarities: relying on a certain transform to convert the input image to a more decorrelated representation, then utilizing the same basic building blo cks such as bit allo cator, quantizer, and entropy co der to achieve compression. Blo ck transform co ders enjoyed success rst due to their low complexity in im- plementation and their reasonable p erformance. The most p opular blo ck transform co der leads to the current image compression standard JPEG [1] which utilizes the 8 8 Discrete Cosine Transform DCT at its transformation stage. At high bit rates 1 bpp and up, JPEG o ers almost visually lossless reconstruction image quality. However, when more compression is needed i.e., at lower bit rates, an- noying blo cking artifacts showup b ecause of two reasons: i the DCT bases are short, non-overlapp ed, and have discontinuities at the ends; ii JPEG pro cesses each image blo ck indep endently. So, inter-blo ck correlation has b een completely abandoned. The development of the lapp ed orthogonal transform [2] and its generalized ver- sion GenLOT [3, 4] helps solve the blo cking problem to a certain extent by b or- rowing pixels from the adjacent blo cks to pro duce the transform co ecients of the current blo ck. -
LOW COMPLEXITY H.264 to VC-1 TRANSCODER by VIDHYA
LOW COMPLEXITY H.264 TO VC-1 TRANSCODER by VIDHYA VIJAYAKUMAR Presented to the Faculty of the Graduate School of The University of Texas at Arlington in Partial Fulfillment of the Requirements for the Degree of MASTER OF SCIENCE IN ELECTRICAL ENGINEERING THE UNIVERSITY OF TEXAS AT ARLINGTON AUGUST 2010 Copyright © by Vidhya Vijayakumar 2010 All Rights Reserved ACKNOWLEDGEMENTS As true as it would be with any research effort, this endeavor would not have been possible without the guidance and support of a number of people whom I stand to thank at this juncture. First and foremost, I express my sincere gratitude to my advisor and mentor, Dr. K.R. Rao, who has been the backbone of this whole exercise. I am greatly indebted for all the things that I have learnt from him, academically and otherwise. I thank Dr. Ishfaq Ahmad for being my co-advisor and mentor and for his invaluable guidance and support. I was fortunate to work with Dr. Ahmad as his research assistant on the latest trends in video compression and it has been an invaluable experience. I thank my mentor, Mr. Vishy Swaminathan, and my team members at Adobe Systems for giving me an opportunity to work in the industry and guide me during my internship. I would like to thank the other members of my advisory committee Dr. W. Alan Davis and Dr. William E Dillon for reviewing the thesis document and offering insightful comments. I express my gratitude Dr. Jonathan Bredow and the Electrical Engineering department for purchasing the software required for this thesis and giving me the chance to work on cutting edge technologies. -
Video/Image Compression Technologies an Overview
Video/Image Compression Technologies An Overview Ahmad Ansari, Ph.D., Principal Member of Technical Staff SBC Technology Resources, Inc. 9505 Arboretum Blvd. Austin, TX 78759 (512) 372 - 5653 [email protected] May 15, 2001- A. C. Ansari 1 Video Compression, An Overview ■ Introduction – Impact of Digitization, Sampling and Quantization on Compression ■ Lossless Compression – Bit Plane Coding – Predictive Coding ■ Lossy Compression – Transform Coding (MPEG-X) – Vector Quantization (VQ) – Subband Coding (Wavelets) – Fractals – Model-Based Coding May 15, 2001- A. C. Ansari 2 Introduction ■ Digitization Impact – Generating Large number of bits; impacts storage and transmission » Image/video is correlated » Human Visual System has limitations ■ Types of Redundancies – Spatial - Correlation between neighboring pixel values – Spectral - Correlation between different color planes or spectral bands – Temporal - Correlation between different frames in a video sequence ■ Know Facts – Sampling » Higher sampling rate results in higher pixel-to-pixel correlation – Quantization » Increasing the number of quantization levels reduces pixel-to-pixel correlation May 15, 2001- A. C. Ansari 3 Lossless Compression May 15, 2001- A. C. Ansari 4 Lossless Compression ■ Lossless – Numerically identical to the original content on a pixel-by-pixel basis – Motion Compensation is not used ■ Applications – Medical Imaging – Contribution video applications ■ Techniques – Bit Plane Coding – Lossless Predictive Coding » DPCM, Huffman Coding of Differential Frames, Arithmetic Coding of Differential Frames May 15, 2001- A. C. Ansari 5 Lossless Compression ■ Bit Plane Coding – A video frame with NxN pixels and each pixel is encoded by “K” bits – Converts this frame into K x (NxN) binary frames and encode each binary frame independently. » Runlength Encoding, Gray Coding, Arithmetic coding Binary Frame #1 . -
Predictive and Transform Coding
Lecture 14: Predictive and Transform Coding Thinh Nguyen Oregon State University 1 Outline PCM (Pulse Code Modulation) DPCM (Differential Pulse Code Modulation) Transform coding JPEG 2 Digital Signal Representation Loss from A/D conversion Aliasing (worse than quantization loss) due to sampling Loss due to quantization Digital signals Analog signals Analog A/D converter signals Digital Signal D/A sampling quantization processing converter 3 Signal representation For perfect re-construction, sampling rate (Nyquist’s frequency) needs to be twice the maximum frequency of the signal. However, in practice, loss still occurs due to quantization. Finer quantization leads to less error at the expense of increased number of bits to represent signals. 4 Audio sampling Human hearing frequency range: 20 Hz to 20 Khz. Voice:50Hz to 2 KHz What is the sampling rate to avoid aliasing? (worse than losing information) Audio CD : 44100Hz 5 Audio quantization Sample precision – resolution of signal Quantization depends on the number of bits used. Voice quality: 8 bit quantization, 8000 Hz sampling rate. (64 kbps) CD quality: 16 bit quantization, 44100Hz (705.6 kbps for mono, 1.411 Mbps for stereo). 6 Pulse Code Modulation (PCM) The 2 step process of sampling and quantization is known as Pulse Code Modulation. Used in speech and CD recording. audio signals bits sampling quantization No compression, unlike MP3 7 DPCM (Differential Pulse Code Modulation) 8 DPCM (Differential Pulse Code Modulation) Simple example: Code the following value sequence: 1.4 1.75 2.05 2.5 2.4 Quantization step: 0.2 Predictor: current value = previous quantized value + quantized error. -
Speech Compression
information Review Speech Compression Jerry D. Gibson Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93118, USA; [email protected]; Tel.: +1-805-893-6187 Academic Editor: Khalid Sayood Received: 22 April 2016; Accepted: 30 May 2016; Published: 3 June 2016 Abstract: Speech compression is a key technology underlying digital cellular communications, VoIP, voicemail, and voice response systems. We trace the evolution of speech coding based on the linear prediction model, highlight the key milestones in speech coding, and outline the structures of the most important speech coding standards. Current challenges, future research directions, fundamental limits on performance, and the critical open problem of speech coding for emergency first responders are all discussed. Keywords: speech coding; voice coding; speech coding standards; speech coding performance; linear prediction of speech 1. Introduction Speech coding is a critical technology for digital cellular communications, voice over Internet protocol (VoIP), voice response applications, and videoconferencing systems. In this paper, we present an abridged history of speech compression, a development of the dominant speech compression techniques, and a discussion of selected speech coding standards and their performance. We also discuss the future evolution of speech compression and speech compression research. We specifically develop the connection between rate distortion theory and speech compression, including rate distortion bounds for speech codecs. We use the terms speech compression, speech coding, and voice coding interchangeably in this paper. The voice signal contains not only what is said but also the vocal and aural characteristics of the speaker. As a consequence, it is usually desired to reproduce the voice signal, since we are interested in not only knowing what was said, but also in being able to identify the speaker. -
Perceptual Audio Coding Contents
12/6/2007 Perceptual Audio Coding Henrique Malvar Managing Director, Redmond Lab UW Lecture – December 6, 2007 Contents • Motivation • “Source coding”: good for speech • “Sink coding”: Auditory Masking • Block & Lapped Transforms • Audio compression •Examples 2 1 12/6/2007 Contents • Motivation • “Source coding”: good for speech • “Sink coding”: Auditory Masking • Block & Lapped Transforms • Audio compression •Examples 3 Many applications need digital audio • Communication – Digital TV, Telephony (VoIP) & teleconferencing – Voice mail, voice annotations on e-mail, voice recording •Business – Internet call centers – Multimedia presentations • Entertainment – 150 songs on standard CD – thousands of songs on portable music players – Internet / Satellite radio, HD Radio – Games, DVD Movies 4 2 12/6/2007 Contents • Motivation • “Source coding”: good for speech • “Sink coding”: Auditory Masking • Block & Lapped Transforms • Audio compression •Examples 5 Linear Predictive Coding (LPC) LPC periodic excitation N coefficients x()nen= ()+−∑ axnrr ( ) gains r=1 pitch period e(n) Synthesis x(n) Combine Filter noise excitation synthesized speech 6 3 12/6/2007 LPC basics – analysis/synthesis synthesis parameters Analysis Synthesis algorithm Filter residual waveform N en()= xn ()−−∑ axnr ( r ) r=1 original speech synthesized speech 7 LPC variant - CELP selection Encoder index LPC original gain coefficients speech . Synthesis . Filter Decoder excitation codebook synthesized speech 8 4 12/6/2007 LPC variant - multipulse LPC coefficients excitation Synthesis -
Using Daala Intra Frames for Still Picture Coding
Using Daala Intra Frames for Still Picture Coding Nathan E. Egge, Jean-Marc Valin, Timothy B. Terriberry, Thomas Daede, Christopher Montgomery Mozilla Mountain View, CA, USA Abstract—Recent advances in video codec technology have techniques. Unsignaled horizontal and vertical prediction (see been successfully applied to the field of still picture coding. Daala Section II-D), and low complexity prediction of chroma coef- is a new royalty-free video codec under active development that ficients from their spatially coincident luma coefficients (see contains several novel coding technologies. We consider using Daala intra frames for still picture coding and show that it is Section II-E) are two examples. competitive with other video-derived image formats. A finished version of Daala could be used to create an excellent, royalty-free image format. I. INTRODUCTION The Daala video codec is a joint research effort between Xiph.Org and Mozilla to develop a next-generation video codec that is both (1) competitive performance with the state- of-the-art and (2) distributable on a royalty free basis. In work- ing to produce a royalty free video codec, Daala introduces new coding techniques to replace those used in the traditional block-based video codec pipeline. These techniques, while not Fig. 1. State of blocks within the decode pipeline of a codec using lapped completely finished, already demonstrate that it is possible to transforms. Immediate neighbors of the target block (bold lines) cannot be deliver a video codec that meets these goals. used for spatial prediction as they still require post-filtering (dotted lines). All video codecs have, in some form, the ability to code a still frame without prior information. -
Lapped Transforms in Perceptual Coding of Wideband Audio
Lapped Transforms in Perceptual Coding of Wideband Audio Sien Ruan Department of Electrical & Computer Engineering McGill University Montreal, Canada December 2004 A thesis submitted to McGill University in partial fulfillment of the requirements for the degree of Master of Engineering. c 2004 Sien Ruan ° i To my beloved parents ii Abstract Audio coding paradigms depend on time-frequency transformations to remove statistical redundancy in audio signals and reduce data bit rate, while maintaining high fidelity of the reconstructed signal. Sophisticated perceptual audio coding further exploits perceptual redundancy in audio signals by incorporating perceptual masking phenomena. This thesis focuses on the investigation of different coding transformations that can be used to compute perceptual distortion measures effectively; among them the lapped transform, which is most widely used in nowadays audio coders. Moreover, an innovative lapped transform is developed that can vary overlap percentage at arbitrary degrees. The new lapped transform is applicable on the transient audio by capturing the time-varying characteristics of the signal. iii Sommaire Les paradigmes de codage audio d´ependent des transformations de temps-fr´equence pour enlever la redondance statistique dans les signaux audio et pour r´eduire le taux de trans- mission de donn´ees, tout en maintenant la fid´elit´e´elev´ee du signal reconstruit. Le codage sophistiqu´eperceptuel de l’audio exploite davantage la redondance perceptuelle dans les signaux audio en incorporant des ph´enom`enes de masquage perceptuels. Cette th`ese se concentre sur la recherche sur les diff´erentes transformations de codage qui peuvent ˆetre employ´ees pour calculer des mesures de d´eformation perceptuelles efficacement, parmi elles, la transformation enroul´e, qui est la plus largement r´epandue dans les codeurs audio de nos jours. -
Explainable Machine Learning Based Transform Coding for High
1 Explainable Machine Learning based Transform Coding for High Efficiency Intra Prediction Na Li,Yun Zhang, Senior Member, IEEE, C.-C. Jay Kuo, Fellow, IEEE Abstract—Machine learning techniques provide a chance to (VVC)[1], the video compression ratio is doubled almost every explore the coding performance potential of transform. In this ten years. Although researchers keep on developing video work, we propose an explainable transform based intra video cod- coding techniques in the past decades, there is still a big ing to improve the coding efficiency. Firstly, we model machine learning based transform design as an optimization problem of gap between the improvement on compression ratio and the maximizing the energy compaction or decorrelation capability. volume increase on global video data. Higher coding efficiency The explainable machine learning based transform, i.e., Subspace techniques are highly desired. Approximation with Adjusted Bias (Saab) transform, is analyzed In the latest three generations of video coding standards, and compared with the mainstream Discrete Cosine Transform hybrid video coding framework has been adopted, which is (DCT) on their energy compaction and decorrelation capabilities. Secondly, we propose a Saab transform based intra video coding composed of predictive coding, transform coding and entropy framework with off-line Saab transform learning. Meanwhile, coding. Firstly, predictive coding is to remove the spatial intra mode dependent Saab transform is developed. Then, Rate- and temporal redundancies of video content on the basis of Distortion (RD) gain of Saab transform based intra video coding exploiting correlation among spatial neighboring blocks and is theoretically and experimentally analyzed in detail. Finally, temporal successive frames. -
Signal Processing, IEEE Transactions On
IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 50, NO. 11, NOVEMBER 2002 2843 An Improvement to Multiple Description Transform Coding Yao Wang, Senior Member, IEEE, Amy R. Reibman, Senior Member, IEEE, Michael T. Orchard, Fellow, IEEE, and Hamid Jafarkhani, Senior Member, IEEE Abstract—A multiple description transform coding (MDTC) comprehensive review of the literature in both theoretical and method has been reported previously. The redundancy rate distor- algorithmic development, see the comprehensive review paper tion (RRD) performance of this coding scheme for the independent by Goyal [1]. and identically distributed (i.i.d.) two-dimensional (2-D) Gaussian source has been analyzed using mean squared error (MSE) as The performance of an MD coder can be evaluated by the re- the distortion measure. At the small redundancy region, the dundancy rate distortion (RRD) function, which measures how MDTC scheme can achieve excellent RRD performance because fast the side distortion ( ) decreases with increasing redun- a small increase in redundancy can reduce the single description dancy ( ) when the central distortion ( ) is fixed. As back- distortion at a rate faster than exponential, but the performance ground material, we first present a bound on the RRD curve for of MDTC becomes increasingly poor at larger redundancies. This paper describes a generalization of the MDTC (GMDTC) scheme, an i.i.d Gaussian source with the MSE as the distortion mea- which introduces redundancy both by transform and through sure. This bound was derived by Goyal and Kovacevic [2] and correcting the error resulting from a single description. Its RRD was translated from the achievable region for multiple descrip- performance is closer to the theoretical bound in the entire range tions, which was previously derived by Ozarow [3].