Professor: Marek Perkowski.



  1. Introduction lecture and overview.

  2. Project guidelines for students. in PDF.

  3. Paulin_mpsoc_trends0206.pdf Pierre Paulin. MultiProcessor Systems on a chip. Trends and technologies.

  4. SYSC5603 (ELG6163) Digital Signal Processing Microprocessors, Software and Applications.mht

  5. Bibliography of Cellular Automata.

  6. Recent books on related topics.

  7. Patterson. Future of Computer Architecture. Slides in PPT. High level message. Conventional Wisdom on Computer Architecture. Uniprocessor Performance. Change in chip design. 21st Century Computer Architecture. Seven Dwarfs. 21st Century code generation. Sparse matrix - search for blocking. 21st Century Measures of Success. Style of Parallelism. Build academic MPP from FPGAs. RAMP. Hardware. Milestones. Multiprocessing watering hole. Backup slides with technology details.


  1. Introduction to Computer Vision. In PDF format. Computer Vision System. Image Enhancement. Image analysis. Pattern Classification.

  2. Overview of face recognition and its applications. Slides in PPT. Face detection using color information. Face matching. Face Segmentation/Detection. Facial feature extraction. Face recognition. Video-based face recognition. Comparison of methods. Literature.

  3. Associative memories. File in PPT. Associative memories. Capacity versus Robustness challenge in Associative Memories. Morphological Memories. Improving limitations. Results. References.

  4. Application of boosting in Face recognition. Slides in PPT. Robust Real Time Face Detection. AdaBoost - learning algorithm. Face detection in real life. Using AdaBoost for face detection. Improvements. Demonstration.

  5. Neural Nets and Connectionism. Slides in PPT. Types of Neural Nets. Connectionism. Learning versus unsupervised learning. Network Architectures. Single Layer Feed-Forward. Multi Layer Feed-Forward. Recurrent Network. The neuron. Bias as extra input. Dimensions of a neural network. Face recognition. Handwritten digit recognition. The XOR problem. Hidden Units. Backpropagation nets. Training a backpropagation net. The feedforward stage. Backpropagation. Adjusting the weights. The learning rate. Example: one layer. Multi-layer and training.

  6. Neural Networks. Slides in PPT. What are Neural Networks? Biological Neural Networks. ANN - The basics. Feed Forward Networks. Training. Voice Recognition using NN. Applications of Feed-Forward Networks. Recurrency. Elman Nets. Hopfield Nets. Central Pattern Generation.

  7. Neural Nets. Slides in PPT. Perceptrons. Learning. Hidden Layer Representations. Speed Up Training. Bias, Overfitting and Early Stopping. Example - face recognition.

  8. Eigenfaces and Neural Nets. SOM. Slides in PPT. Content Based Face Recognition. Difference from Image Recognition. Approach. Stages of face recognition. Face Recognition using Eigen Faces. Steps in Face Recognition. PCA. Eigenfaces. Classification using Nearest Neighbor. Neural Networks and TS-SOM. What is SOM? Training of SOM. Algorithm. Relevance Feedback. Interaction between User and System. Comparison of the two approaches. Future work. References.

  9. Face detection using SVM. Slides in PPT. Label the group photo. Project description. Face detection. Possible Solution. Support Vector Machines algorithm. Application to face detection. Implementation. Results. Examples. Future plans. References.

  10. Face Recognition using symmetry and other features. Slides in PPT. Localization of the lips. Basic idea. Golden Section. Symmetrical features in face. In rotation. Symmetry of eyes and face. Measuring of symmetry. Examples.

  11. Preprocessing. Slides in PPT. Preprocessing for face recognition. Highlights for the approach. Recognition principle. Inverse Estimation. Measure of Bijectivity. Mapping properties. Preprocessing example. Performance. Preprocessing for illumination correction. Comparison with existing methods. Preprocessing and recognition examples.


  1. ELG6163_Introduction.ppt Introduction to class by M. Bolic.

  2. Rappaport et al. Invited article about "Wireless Communications: Past Events and a Future Perspective. in PDF. Cellular/PCS technologies. Indoor access. Multiple access. Code Division Multiple Access, CDMA. CDMA Challenges. Wireless Data Rates. Orthogonal Frequency Division Multiplexing (OFDM) amd Multicarrier Communications. Ultra Wideband (UWB). Space Time Processing. Ad Hoc Networking. Network Optimization. Challenges to cross layer optimization.

  3. Improved Headphone Soung Stage. Slides in PPT.

  4. Part 2. Improved Headphone Soung Stage. Slides in PPT.

  5. 3G and 4G Wireless. Advances and Challenges. Slides in PPT. Where are we? Representative Wireless Standards. TDMA. FDMA. CDMA. Multi-path arrival of signals. CDMA Rake Receiver. Orthogonal Frequency Division Multiplexing (OFDM). 3G services. Key mobility services. Customized Application for Mobile Enhanced Logic. GSM networks. GSM and GPRS. WCDMA/UMTS. 3G evolution. Some representative current wireless options. 3G WCDMA. Release 99. Release 4. Release 5. etc. ADVANCED TECHNICAL MATERIAL.

  6. Michael Quinn. Chapter15. Slides in PPT. Parallel programming in C. The Fast Fourier Transforms. Fourier Analysis. Discrete Fourier Transform. Fast Fourier Transform. Parallel Implementation.

  7. Programming Configurable Processors. Guccione paper in PDF.

  8. B. Nikolic. From Algorithms to Systems on a Chip in a Semester. Slides in PPT. Projects. Design Projects. OFDM receiver. SVD for multi-antenna. CDMA Baseband. RAKE Receiver. Polyphase filter bank. Adaptive Image-Reject Mixer. Adaptation via spectral estimation. Adaptation via LMS. 3G Turbo Decoder. SISO Block: SOVA Implementation. MAP implementation. High Speed Iterative Decoder. MAP decoder. LDPC Decoder. Maskless litography. Decoding for maskless litography.

  9. Altera DSP. Slides in PPT. Comparison between PDSP and FPGA. Virtex II Pro. Altera Stratix FPGA. Stratix DSP Block and its configuration. Altera Design Flow.

  10. ELG6163_Green.pdf TI standards for writing algorithms.

  11. ELG6163_Burton.pdf . Multiprocessor for DSP. Student report.

  12. ELG6163_Burton.ppt. Multiprocessor for DSP. Slides in PPT. Student report.

  13. ELG6163_Distributed_arithmetic.ppt Distributed Arithmetic. Sum of Products. DA Derivation. PDSP and Shift-add DA Architectures. Modified DA Solutions. DA with table partitioning.

  14. DSP1/ELG6163_FIR.pdf FIR Filters by M. Bolic. FIR Filter structures. Polyphase FIR filters. Parallel Polyphase FIR Filters. Decimated FIR. Implementation of FIR Filters.

  15. ELG6163_Implementation_of_FIR.ppt M. Bolic. Implementations of FIR Filters.

  16. ELG6163_IIR.pdf IIR Filters by M. Bolic, S.K. Mitra. Structures. Direct Form. Transposed Direct Form. Lattice-Ladder Form. Parallel Realization. Cascade Realization. Bi-Quad Coupled Realization. State Space Realization. Implementation.

  17. ELG6163_IIR_analysis_Guerra.ppt Cont. IIR Filters by M.Bolic.

  18. ELG6163_Longa.doc IP Core design. A literature survey. Student report.

  19. ELG6163_Longa.ppt IP Core design. A literature survey. Student report.

  20. ELG6163_PDSP.ppt M. Bolic. Architectural Analysis of a DSP Device, the Instruction Set and the Addressing Modes. FIR Filter on ADPS-21x. DPS requirements. Fast Multiply-Accumulates (Data Path). Extended Precision Accumulator Register (Data Path). Dual Operand Fetch (Memory). Circular Buffering (Addressin). Zero-Overhead Looping (Instruction Set). Analog Devices Architectures and Programming. SHARC. Blackfin. Performance Optimization.

  21. ELG6163_Rank.doc Spec-C, Handel-C, SystemC. A Comparative study. Student report.

  22. ELG6163_Rank.ppt Spec-C, Handel-C, SystemC. A Comparative study. Student report.

  23. ELG6163_Real_time.ppt M. Bolic. Real Time Signal Processing. Structural levels of processing. Properties and parameters of signal processing algorithms. Definitions of throughput, latency, concurrency.

  24. ELG6163_fft.ppt M. Bolic. FFT Introduction. Some FFT algorithms. FFT on PDSP. FFT floating to fixed-point conversion. Hardware implementation of FFT.

  25. ELG6163_fixed_point1.ppt M. Bolic. Fixed Point Design. Numeric representation. Simulation methods for floating to fixed point conversion. Analytical methods.

  26. FEED-2002_05Nov02_2.ppt Analog and digital techniques in closed loop regulation applications. Digital systems. Sampling of analog signals. Sample and hold. Pareval's theorem.

  27. JaehwanDefensePPT.pdf Hardware /software deadlock avoidance for multiprocessor multiresource system-on-a-chip. Slides from PHD Defense.

  28. L11-FourierProperties.ppt Fourier Transform. Properties and Examples. Basic functions. Fourier series representation of time functions. Fourier transform and its properties. Examples. Properties of FT: linearity and time shift. Differentiation. Convolution in the frequency domain.

  29. Future Wireless Communication Systems.

  30. NMRFamSzyperski.pdf G-Matrix Fourier Transform (GFT) Projection NMR Spectroscopy. Theory and application.


  1. Presentation of Software Defined Radio.ppt

  2. SDR.doc Presentation of Software Defined Radio. Slides in PPT.

  • SanAntonio.ppt BAD


  • ece-715_summary-final1_ppt.pdf Project related to FFT. Practical guidelines. Rucinski.

  • inversion.pdf Fourier Transform Spectral Interferometry.

  • Algorithm Representation and Iteration Bound. Slides in PPT. Dependence Graph. (DG). Data Flow Graph. Loop Bound and iteration bound. Longest path matrix algorithm. LPM example. Minimum cycle Mean Algorithm. examples.

  • Lecture on Loop Transformations. Slides in PPT. Representing nested loops. Regular Nested Loops. Schedule and precedence. Inter-iteration dependence. Data Dependence (General). Single Assignment Transformation. Variable Localization by Duplication. Algorithm Rewrite Example. Data (Iteration) dependence graph. Shift-Invariant Iteration DG. Parallel Execution by Vectorization. DG analysis. Levels of dependence vectors. Loop Interchange. Exploitation of Parallelism. Uni-Modular Loop Transformation. Example. DG of Uni-modular transform.

  • Telecommunication and Signal Processing at UT Austin. Slides in PPT.

  • Laffely and1 Wayne Burleson. Using System-on-a-chip as a vehicle for VLSI Design education. Slides in PPT.

  • Chapter 3. Parallel and Pipelined processing. Slides in PPT. Very useful in projects.

  • Chapter 4. Retiming. Slides in PPT. Very useful in projects.

  • Chapter 5. Unfolding. Slides in PPT. Very useful in projects.


    1. JPEG and MPEG. Raster algorithms. 09-handouts.pdf Very useful in projects.

    2. FC-JPEG04%20Sundance%20-%20300504.pdf BAD.


    1. Fourier_handouts.ppt Very good for class. Introduction and examples.

    2. Basic Lecture about Fourier Transform. Slides in PDF.

    3. Fourier Transform Lecture in PPT. Frequency analysis: a powerful tool. A tour of Fourier Transform. Continuous Fourier Series. Discrete Fourier Series. Example: DFS by DDC and DSP.

    4. L03Systemtheory.ppt Review of FFT. Plane waves. Good lecture.

    5. Lecture22a.ppt Lecture on DFT, FFT and codes.

    6. PyramidsandTexture.ppt Fourier Transform in Image Processing. Advanced but easy to understand.

    7. Lectures on FFT and DFT. chapter10part1.ppt

    8. Slides. PDF. Fourier analysis.

    9. Good slides. FFT made easy. PPT.

    10. Pueschel et al. NSF project. Automatic Generation of Customized Discrete Fourier Transform IPs. Slides in PPT.

    11. Dr. Ju from Sharp. Research Paper. Equivalent Relationship and Unified Indexing of FFT Algorithms. 00393828.pdf

    12. Dr. Ju from Sharp. Algorithm of defining 1-D Indexing for M-D Mixed Radix FFT Implementation. 00407316.pdf

    13. Paper from Sharp. Adaptive Equalization of WACS in Time-Dispersive, Fading, Multipath Channels. 00504833.pdf

    14. Research. Radar Backscatter analysis using fractional Fourier Transform. 01330627.pdf

    15. Fourier_tra.pdf Fourier Transform. Singularity functions. Spectral Density function. Parseval's Theorem for Energy Signals. Fourier Transforms of some signals. Some FFT properties. Coordinate scaling. Frequency Shifting (Modulation).

    16. GraphicsHardware2003.ppt The FFT on GPU. Graphics Hardware 2003. FFT review. FFT techniques. Implementation. Results.

    17. Lecture11.ppt Fourier transform Theory.

    18. Lecture2.pdf Complexity. Fourier Analysis. Applications. Fourier Transform. Discrete Fourier Transform. Fourier Transform Algorithm. FFT. FFT Algorithm. Illustration. Comparison. Complexity of FFT. FFT and bit-shifts. Matrix-Vector multiplication. Fields. Potentials. Examples of fields. Factorization Middle Man Method. Global Factorization. Factorization Trick. Reduction of Complexity. Middleman Scheme. Far Field and near field. Local (regular) expansion. Local expansion of a regular potential. Local expansion of a singular potential.

    19. Libraries.ppt Parallel Libraries and Parallel I/O for DFT etc.

    20. Moustakides.ppt Application of FFT. Eigen-decomposition of a class of infinite dimensional tridiagonal matrices.

    21. The generation of Ultrashort Laser Pulses. Slides in PPT.

    22. Research Paper. Application specific architecture for transforms based on the successive doubling method. Paper in PDF.

    23. Fourier and Convolution in Image Processing. PPT slides.

    24. lecture3.ppt Introduction to reciprocal space. Fourier Transforms. Some simple functions. Area and zero frequency components. 2-Dimensions. Separable. Central Slice theorem. Spatial frequencies. Filtering. Mudulation Transfer Function.

    25. Multiscale Transforms: wavelets, ridgelets, curvels. in PPT format.

    26. External Second Gate, Fourier Transform Ion Mobility Spectrometry: iNext Generation Ion Mobility Spectrometer. PPT slides.

    27. Fourier Transform and its applications. Lecture slides in PPT. Good examples. Graphics.


    1. Research Paper. New Hardware-Efficient Algorithm and Architecture for the Computation of 2-D DCT on a Linear Systolic Array. Paper in PDF.

    2. Research Paper. A Systolic Array Architecture for the DCT. PDF.

    3. Combined LNS Adder/Subtractors for DCT Hardware. PPT slides. LNS - logarithmic number systems.DCT. Combined LNS adder/subtractor.

    4. Survey of DCT implementations. Example Implementation. PPT slides.

    5. Good research paper from 2005. PDF. Systolic Algorithms and a Memory-Based Design Approach for a Unified Architecture for the Computation of DCT/DST/IDCT/IDST.


    1. Quantum Complexities of ordered searching, sorting, and element distinctness. Paper in PDF.

    2. Paper PDF. Spurious Galois Field.

    3. Quantum Search algorithms. Slides in PDF. Grover and variants.

    4. Wavelet Quantum Search Algorithm with Partial Information. Paper in PDF.

    5. Quantum Algorithms. Paper in PDF. Review. 2006.

    6. Various Quantum Transforms. Slides in PPT.

    7. Rahardja and Falkowski. PDF paper. Family of Unified Complex Hadamard Transforms.

    8. Research paper PDF. Hadamard and Conference Matrices.

    9. Karol Zyczkowski. Research paper PDF. A Concise Guide to Complex Hadamard Matrices.1

    10. Quantum Wavelet Transforms. Fast Algorithms and Complete Circuits. PDF paper.

    11. Paper in PDF. Quantum Haar Wavelet Transforms and Their Applications.

    12. Labunets. Haar Chrestenson Thesis in Russian. PDF.

    13. Bacon. Research paper. PDF. Efficient Quantum Circuits for Schur and Clebsch_Goran Transforms.

    14. Research Paper PDF. Generating Quasigroups for Cryptographic applications.

    15. Paper in Postscript. Genetic Algorithms for Hadamard matrices of Wiliamson type.

    16. Labunets. PDF paper. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.

    17. Labunets. Paper. PDF. Colour Triplet-Valued wavelets and splies.

    18. Labunets. PDF paper. Fast Classical and Quantum Fractional Haar Wavelet Transforms.

    19. Labunets. Clifford Algebras as Unified Language for Image Processing and Pattern Recognition. PDF paper.


    1. Paper in PDF. Efficient Implementation of Quaternion Fourier Transform, Convolution, and Correlation by 2-D Compext FFT.

    2. QuaternionsI.pdf BAD.

    3. Paper in PDF. From Fourier Expansions to Arithmetic-Haar Expressions on Quaternion Groups.

    4. Paper in PDF. Quaternions and Hadamard Matrices.

    5. Paper in PDF. A Unified Approach to Fourier-Clifford-Prometheus Sequences, Transforms and Filter Banks.

    6. Labunets. Paper in PDF. Fast Color Wavelet-Haar-Hartley-Prometheus Transforms for Image Processing.

    7. Sunardi. Quaternion Calculator. ZIP. VHDL.


    1. Slides in PPT. High Speed Energy Efficient Architecture for Finite Ridgelet Transform.


    1. Research Paper in PDF. Quantum wavelet Transforms: Fast Algorithms and Complete Circuits.

    2. The Wavelet Digest View topic - Wavelets in Quantum Field Theory.mht

    3. Research Thesis in PDF. Wavelet Analysis of Two Dimensional Quantum Scattering.

    4. Research paper in PDF. Wavelet Quantum Search Algorithm with Partial Information.

    5. Research paper in PDF. Wavelets and Wavelet Packets on Quantum Computers.


    1. Paper in PDF. The POETic Electronic Tissue and Its Role in the Emulation of Large-Scale Biologically Inspired Spiking Network Models.

    2. Paper in PDF. Hardware spiking neural network with run-time reconfigurable connectivity in an autonomous robot.

    3. Paper in PDF. An Evolving and Developing Cellular Electronic Circuit.

    4. PDF Paper. A POEtic Architecture for Bio-Inspired Hardware.

    5. Paper in PDF. Developmental Process in Silicon: An Engineering Perspective.

    6. Paper in PDF. Ontogenetic Development and Fault Tolerance in the POEtic Tissue.

    7. PDF paper. CoDeNios: A function-level Co-Design tool.

    8. Paper PDF. A Dynamic Routing Algorithm for a Bio-Inspired Reconfigurable Circuit.

    9. Paper in PDF. Prototyping with a bio-Inspired reconfigurable chip.

    10. Paper in PDF. Reconfigurable Chip for Evolvable Hardware.

    11. Paper in PDF. An Adaptive FPGA and its distributed routing.


    1. Paper PDF by Falkowski. Classification and Properties of Fast Linearly Independent Logic Transformations.

    2. Paper in PDF. Falkowski and Chang. Generalized k-variable-mixed-Polarity Reed-Muller expansions for system of Boolean functions and their minimization.

    3. Paper in PDF. Falkowski. Hybrid Arithmetic-Walsh Transform.

    4. Paper in PDF. On the Optimization of Reed-Muller Expressions.

    5. Paper in PDF. Lyskevskiy. Three Dimensional Multi-Valued Design in Nanoscale Integrated Circuits.

    6. Paper in PDF. Jankovic Stankovic Moraga. Arithmetic Expressions Optimization Using Dual Polarity Property.

    7. Paper in PDF. Falkowski, Lozano, Luba. New Fastest Linearly Independent Transforms over GF(3).

    8. Paper in PDF. Fu and Falkowski. Generation of multi-polarity helix transform over GF(3).

    9. Paper in PDF. Falkowski et al. Calculation of best fixed polarity Reed-Muller transform over GF(5).

    10. Paper in PDF. Shmerko. Malyugin Theorems: A New Concept in Logical Control, VLSI design, and data structures for New Technologies.

    11. Paper in PDF. Optimization of Fixed-Polarity Reed-Muller Circuits Using Dual-Polarity Property.

    12. Paper in PDF. Kolpakov Latypov. Approximate Algorithms for Minimization of Binary Decision Diagrams on the Basis of Linear Transactions of Variables.

    13. Paper in PDF. Popel and Yanushkevich. Modeling Combinational Circuits Using Linear Word-Level Structures.

    14. Perkowski et al. Paper in Postscript. ESOP Minimizer in Hardware.

    15. Paper in Postscript. Thornton and Nair. Efficient Spectral Coefficient Calculation Using Circuit Output Probabilities.

    16. Stankovic et al. Paper in PDF. Optimization of Polymomial Expressions by Using Extended Dual Polarity.


    1. Paper in PDF. A Unified MLSE Detection Technique for TDMA Digital Cellular Radio.

    2. Slides in PDF. Mass Spectrometry and Biosensing Research.

    3. Slides in PPT. Introduction to Deconvolution Image Processing. 2006.

    4. Slides in PPT. GTS Fascilities. Status-RTH-Tokyo.

    5. Slides in PPT. Embedded Systems Design: A Unified Hardware/Software Introduction. Digital Camera Example. Requirements Specification. Four Implementation. Design.

    6. Slides in PPT. Codesign Extended Applications. Hardware/Software Partitioning. Different Algorithms in Hardware/Software. Codesign Extended Applications. Experiments.

    7. Slides in PDF. The computer group research. Overview.

    8. Paper in PDF. High Performance Digital Signal Processing.

    9. Course information slides in PPT. lec01.ppt

    10. Accelerator Design in the XUP Board. lecture16.ppt

    11. Paper in PDF. mediakit.dsp.2007.pdf

    12. MIT Enterprize Forum. Qualcomm. Products. PDF slides.

    13. Slides in PPT. Image Video Compression. Block Transform Coding. Other Coding Algorithms. Software-Hardware CODEC's. Pragmatic Issues.


    1. Project overview. Radon. Reconstruction in Diffracted Ultrasound Tomography. Slides in PPT.

    2. ICIP06_Slides.ppt Radon transform related. Tomographic Approach for Sampling Multidimensional Signals with Finite Rate of Innovation. Research slides.

    3. Radon Transform applications in medicine. Lung Cancer. Slides in PPT.





    1. Lecture on CORDIC. PPT slides.

    2. Kia Bazargan. Cordic Algorithms. PPT.


    1. 16-bit CMOS Divider and Square Rooter. PDF paper.

    2. Bit-Stream signal processing and its application to communication systems. PDF paper.

    3. Non_restoring Integer Square Root. A case study in design by principled organization. PDF article.

    4. A Low dynamic Power and Low leakage Power CMOS Square-Root Circuit. Paper in PDF.


    1. FPGA-based applications for software radio. PDF.

    2. Idas Job for PSD. PPT.

    3. BEE_2: A High-End Reconfigurable Computing System. Paper in PDF.

    4. Wideband FFT REceiver. PDF note.

    5. Slides in PDF on FFT for Digital Holographic Imaging.

    6. Spectrum Sensing, Allocation and Control. Slides in PDF.

    7. Parametric Spectral Estimation on a Single FPGA. Paper in PDF.

    8. Cyclostationary Feature Detection. Slides in PPT.

    9. FPGAs Tackle DSP Applications for communications. PDF note.

    10. SDR Platform enables reconfigurable direction finding system. PDF note.

    11. Spatially Adaptive Moving Target Indicator System for Radar Equipment. Patent in PDF.

    12. Dynamic and Time Series Modeling for Process Control. System Identification. Slides in PDF. Shows only some useful circuits.

    13. Creating Spectrum for Wireless Communications. PDF slides

    14. Power Spectral Estimation slides in PDF.

    15. board_fall2006_brodersen.pdf


    1. Texture recognition of medical images with the ICM method. Paper in PDF.

    2. Vidya Manian paper in PDF. Logical Operators for Texture Image Analysis.

    3. Manian. Texture Classification Using Logical Operators. Paper in PDF.

    4. Spatial Texture Analysis. Paper in PDF. Refers to Manian.

    5. Optimized Space Frequency Kernel for Texture Classification. Paper in PDF.

    6. Maneesha Thesis in PDF. Performance Evaluation of Image Segmentation and Texture Extraction Methods in Scene Analysis.


    1. Paper in PDF on Introduction to Wavelets.

    2. Didactic ideas about wavelets. In PDF.

    3. VLSI Computing for Haar Transform. PDF paper.

    4. Falkowski and Rahardja. Walsh-like functions and their relations. Paper in PDF.
    5. Labunets. Fast Classical and Quantum Fractional Haar Wavelet Transforms. Paper in PDF.

    6. Falkowski. Generalization of Arithmetic-Haar Transform for higher dimensions. Paper in PDF.

    7. Falkowski. Development of Multi_Polarity Arithmetic-Haar Transform and Its Applications in Logic Design. Paper in PDF.

    8. Color Descriptor for Image Retrieval in Wavelet Domain. Paper in PDF.

    9. Lecture on Image Analysis and Processing includes Haar. Slides in PDF.

    10. Lecture on Computer Graphics and Image Processing. Slides in PDF include Haar transform.

    11. Rahardja and Falkowski. Application of Sign Haar Transform in a Ternary Communication System. Paper in PDF.

    12. Falkowski. Forward and Inverse Transformations Between Haar Spectra and OBDDs of Boolean Functions. Paper in PDF. 1997.

    13. Lecture on wavelet. Slides in PDF. 4 in one.

    14. Lecture slides in PDF on Image transforms. Includes Haar.

    15. Lecture slides in PDF on Image Compression.

    16. PPT slides on wavelet coding.

    17. PPT slides - lecture on unitary transforms including Haar.

    18. An Introduction to Wavelets and Haar Transform.mht Very good introduction.

    19. Reconfigurable Firmware for high-end data flow processing systems. Slides in PPT.

    20. Computer Graphics and Image Processing. Slides in PDF. Includes Haar.

    21. MPEG-7 Standard. Includes Haar. Slides in PDF.

    22. Falkowski. Generalized Haar Spectral Representations and their Applications. Oregon talk in pdf.

    23. Thornton. Logic Circuit Equivalence Checking Using Haar Spectral Coefficients and Partial BDDs. Paper in PDF.

    24. Haar wavelet Transform of a Dendrogram: Additional Notes. Paper in PDF.

    25. Falkowski PDF paper. Relationship between arithmetic and Haar wavelet transforms in the form of layered Kronecker Matrices.

    26. Lecture in PPT on Vector Processing.

    27. Lecture in PPT on Vector Processing. UC Berkeley.

    28. Lecture in PPT on Multimedia Instruction set.

    29. Lecture in PPT. Slides on Compression.

    30. Lecture in PPT on wavelets. Euclidean and Unitary Spaces.

    31. Lecture on Unitary Transforms. PPT slides

    32. Lecture on Wavelet Transform based Image Coding. PPT format slides.

    33. Slides in PDF on MPEG7.

    34. Poper paper from PRIP'99 in PDF. Fixed Polarity Reed-Muller Minimization of Incompletely Specified Boolean Functions.

    35. Wavelets. Secure IT Intrusion Detection. In PPT. Slides.

    36. Transform coding, Lecture slides in PDF.

    37. Slides about Address Generators in PPT.

    38. Paper in PDF on Unsupervised, Agglomerative Spatially Aware Texture Segmentation Technique.

    39. Falkowski. Signed Haar-Hadamard. 2005. Slides in PDF.

    40. Falkowski. Sign ternary hadamard-haar. Applications in Ternary Communication System. PDF

    41. Falkowski. Generalized Haar Spectral Representations and their applications. PDF paper.

    42. Haar spectra based entropy approach to quasi-minimization of FBDDs. Paper in PDF.

    43. Falkowski. Relationship between Haar and Reed-Muller Spectral and Functional Domains. Paper in PDF.

    44. Stankovic and Falkowski. Haar Wavelet transform: Status and achievements. Paper in PDF.

    45. Falkowski. Forward and Inverse transformations between Haar wavelet and arithmetic functions. Paper in PDF.

    46. Slides in PPT on Image Transforms for Robust Coding.

    47. Lecture in PPT on Vector Processors and DSP.

    48. Lecture in PPT on Vectors, Branch Prediction, Dependence Speculation and Data Prediction.

    49. MPEG-7. Lecture sildes in PDF.

    50. Wavelet Introduction paper in PDF.

    51. Falkowski. Paired Haar. 1999. PDF.

    52. Falkowski. Paired Haar Spectra computation through operations on disjoint cubes. 1999. PDF paper.

    53. Calculation of paired Haar transform through shared BDD. PDF paper.

    54. MPEG slides in PPT.

    55. Beyond Wavelets. Word format. Student work.

    56. Falkowski. Operations on logic functions and variables through sign Haar Spectra. PDF paper.

    57. Falkowski. Applications of modified sign Haar Transform in logic functions. PDF paper. 2004.

    58. Falkowski. Properties of Logic Functions in Spectral Domain of Sign Hadamard-Haar Transform. Paper in PDF.

    59. Subband Coding. Paper in PDF. 2005.

    60. Image Compression Using Wavelets. PDF paper.

    61. PPT slides on Vector Processing.

    62. iBAD 9812061.gz