Digital and Analog Signal Processing
using MATLAB and Mathematica

Prof. Miroslav Lutovac, Prof. Ljiljana Milić, Dr Dejan Tošić, Jelena Ćertić

1. Representation of signals and systems in MATLAB

2. MATLAB Toolboxes

• Signal Processing Toolbox, Filter Design Toolbox, and Wavelet Toolbox: Modeling and simulating systems in MATLAB

 
• Filter Design for Signal Processing Using MATLAB::
  • Discrete-time signals, Basic analog signals, Basic discrete signals, Quantized signals, Digital signals, Causal signals, Random signals, Representation of signals in MATLAB
  • Definition of a system, Block diagram, System properties, Linear time-invariant (LTI) system, Response of LTI systems, Convolution, MATLAB exercises
  • Definition and concept of transforms, Laplace transform, Z transform, Transfer function, Analysis of systems by transform method, Example analysis
  • Fourier series, Fourier transform, FFT, Transfer function in s domain, Transfer function in z domain, Pole-zero-gain representation
  • Transfer function in s domain, Transfer function in z domain, Pole-zero-gain representation
  • Analog filter specification, Analog filter design steps, Analog filter classification, Sensitivity, Optimum cascading sequence
  • Specification, Approximation, Realization, Study of imperfections, Sensitivity analysis, Redo design steps
  • Implementation with programmable analog chips
  • Classic analog filter design: MATLAB examples of opamp RC filter realizations and RLC realizations
  • Definition of FIR and IIR systems, FIR and IIR structures, MATLAB examples, FDAtool design example
  • Classic digital filter design
  • Advanced design paradigm, Drawback of the classic design
  • MATLAB examples of Finite precision effects
  • FIR filter design using Filter Design Toolbox
  
   
• DrawFilt and DFSYM: interactive mouse-driven drawing schematics of systems and symbolic analysis of linear, time-invariant, discrete-time systems

 
• Efficient Multirate Filtering (EMF) and FDFDesign: multirate techniques for digital filter design and implementation and the design of fast digital filters

 
• AFDesign and AFDSpace: Advanced Filter Design and visualization of the multidimensional space of elliptic design parameters

 

3. Representation of signals and systems in Mathematica

4. Mathematica packages

• Signals and Systems Pack: analog and digital signal processing, signals and linear systems

• Control System Professional: control system, continuous-time and discrete-time systems

5. DSP and Systems Analysis in Mathematica using SchematicSolver

Interactive mouse-driven drawing schematics of systems, symbolic solving directly from schematic (generates equations describing system, finds system response, computes system transfer function, simulates discrete system), and generates new function - software implementation of discrete system

• Quadrature Amplitude Modulation (QAM): software implementation of the system

• Multirate Systems: introduction to multirate systems, downsampling and upsampling, spectrum of downsampled-upsampled sequence, polyphase realization, efficient decimation FIR filter, implementation of efficient filter, symbolic multirate processing (symbolic input, symbolic parameters, symbolic states), symbolic decimation and interpolation

• Hilbert Transformer: transfer function, spectrum, Hilbert transformer in QAM, processing, spectra of QAM signals

• Adaptive LMS System: system identification using adaptive filters, schematic of adaptive system, finding adapted coefficients, symbolic response of unknown system, visualize algorithm, identify parameters of unknown system

• Automatic Gain Control (AGC): nonlinear elements, implementation of nonlinear functions, processing

• High-Speed Recursive Filters: closed-form expression in terms of the sample index, computing symbolic output sample, relation between two output samples, solve the recurrence equation, optimization

• Nonlinear Discrete-Time Systems: solving nonlinear systems, simulating, and processing

• Square-Law Envelope Detector: software implementation of the system

Prof. Dr Miroslav D. Lutovac

Miroslav D. Lutovac was born in 1957

He was with Automatics Institute (1982) and Telecommunication & Electronics Institute (1986)

Education:

B.Sc. (1981), M.Sc. (1985), and D.Sc. (1991)

degrees in Electrical Engineering from the University of Belgrade in Belgrade, Serbia

Positions:

Associate Professor (2001), School of Electrical Engineering, University of Belgrade, Serbia

Senior Research Fellow (1994), Principal Research Fellow (1999) in the Institute

Research Objectives:

• To automate the design and real-time implementation of signal processing systems
• To apply symbolic computation in the optimization of signal processing systems
• To transfer design tools and methodologies to industry

Publications:

• Book: Filter Design for Signal Processing Using MATLAB and Mathematica
1. Prentice Hall, New Jersey, USA, ISBN 0-201-36130-2, © 2001
2. Publishing House of Electronics Industry, Beijing, China, ISBN 7-5053-7977, © 2002
3. Publishing House of Electronics Industry, translated into Chinese, Beijing, China, ISBN 7-5053-8710-3, © 2004

• Chapter: Efficient Multirate Filtering
in book: Multirate Systems: Design and Applications, Idea Group Publishing, Hershey, USA, © 2002

• 27 refereed journal articles
  • IEEE Trans. Signal Processing (4)
  • IEEE Trans. Circ. Syst. (4)
  • IEEE Signal Processing Letters (1)
  • IEE Proc. Circ. Devices Syst. (3)
  • Electronics Letters (5)
  • Int. J. Circ. Theory App. (1)
  • Int. Journal of Electronics and Communications (3)
  • The Mathematica Journal (1)
  • Rev. Roum. Sci. Techn. Electrotechn (2)
  • Facta Universitatis (Nis), Series: Electronics and Energetics (3)
• 6 journal papers
  Yugoslav IEEE MTT Chapt. Inf. (1), Telekomunikacije (2), Nauka. Tehnika, Bezbednost (2), J. Electr. Math. (1)
• 43 papers presented at international conferences
  AMSE, Asilomar, COST, DMMS, DSP, ECCTD, EUSIPCO, IASTED, ICASSP, ICECS, ISCAS, ISTET, MELECON, MIEL, SMACD, TELSIKS
• 53 papers presented at national conferences
  ETRAN, IT, PRIM, SAUM, TELFOR, YU INFO

Awards:

• Project New software turning algorithms into implementation, Central European Initiative, (CEI), framework From Research to Enterprise, December, 2004
• Project Advanced Signal Processing Pack, Wolfram Research, Inc., USA, Mathematica, Visiting Scholar Grant 2001-2002

Memberships in Professional Societies:

• Senior Member of the IEEE (1999)
• Advisory Member of Journal IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences - Japan, 2000-2005
• Management Committee Member of COST Action 276, 2002-2005

Professional Activities - Reviewer for journals:

• IEEE Transactions on Signal Processing
• IEEE Transactions on Circuits and Systems
• IEEE Signal Processing Letters

Impact:

• Signal processing book as textbook at:
• University of New Orleans, USA, course ENEE 4554, spring 2005
• Florida International University, USA, course EEL 4140, spring 2005
• Algorithms deployed in brand software
1. FilterCAD, Linear Technology, USA, Min-Q-elliptic approximation, design of SC filters, 2001
2. Microwave Office, Applied Wave Research Inc., USA, © 2002, Elliptic approximation
• Citation in 4 books, 17 journal papers (2000-2005)
Online Mathematical Encyclopedia (Elliptic rational functions, 2004-2005)
• Seminars and Talks:
1. New Approach to the Design of Elliptic Filters, IMTEL, Belgrade, Yugoslavia, 1993
2. Multiplierless Elliptic IIR Filters, Mihajlo Pupin Institute, Belgrade, Yugoslavia, 1998
3. Advanced Filter Design Using Mathematica, 1998, Institute for Signal and Information Processing (ISI), the Swiss Federal Institute of Technology (ETH), Zurich, Switzerland
4. Symbolic Analysis of LTI Systems from DrawFilt Schematics, 2002, Wolfram Research, Inc., Champaign, IL, USA
5. Signal Processing Using Mathematica, 2002, Wolfram Research, Inc., Champaign, IL, USA

Software: http://kondor.etf.bg.ac.rs/~lutovac

1. SchematicSolver version 1, © 2003, Mathematica application package
2. SchematicSolver version 2, © 2004, Mathematica application package, distributed by Wolfram Research, Inc., USA
3. DrawFilt version 2.8, © 2005, Drawing Filters and Systems, IEEE Circuits, Devices Magazine, 2001
4. AFDesign version 2.3, © 2005, Advanced Filter Design
5. AFDSpace version 1.1, © 2005, Advanced Filter Design Space
6. DFSYM version 1.1, © 2004, Digital Filter Symbolic Simulation
7. EMF version 1.0, © 2005, Efficient Multirate Filtering
8. FDFDesign, Serbian Ministry for Science, contract IT.1.21.0045B, 2002, Fast Digital Filter Design

Prof. Dr Ljiljana D. Milić

Dr Dejan V. Tošić

Dejan V. Tošić was born in Belgrade (1957), Serbia.

He is with the School of Electrical Engineering, the University of Belgrade, Belgrade, Serbia.

Education:

B.Sc. (1980), M.Sc. (1986), and D.Sc. (1996)

degrees in Electrical Engineering from the University of Belgrade in Belgrade, Serbia

Position:

Associate Professor at the School of Electrical Engineering, University of Belgrade, Serbia

Research interests:

Symbolic signal processing, filter design and synthesis, microwave circuits, electric circuit theory, and automated computer-aided design

Publications:

• Book: Filter Design for Signal Processing Using MATLAB and Mathematica
1. Prentice Hall, New Jersey, USA, ISBN 0-201-36130-2, © 2001,
2. Publishing House of Electronics Industry, Beijing, China, ISBN 7-5053-7977, © 2002
3. Publishing House of Electronics Industry, translated into Chinese, Beijing, China, ISBN 7-5053-8710-3, © 2004

• Books in Serbian on circuit theory, microwave, and Internet business, 1993-2005

• over 120 journal and conference papers

Awards:

• Project A Framework for Symbolic Analysis of Linear Circuits and Systems, University of Texas at Austin, Texas, USA, 1997
• Project Advanced Signal Processing Pack, Wolfram Research, Inc., USA, Mathematica, Visiting Scholar Grant 2001-2002

Memberships in Professional Societies:

Member of the Technical Committee of Telecommunication Information Science and Technology - European Cooperation in the field of Scientific and Technical Research (COST)

Professional Activities:

• Reviewer for journal IEEE Transactions on Signal Processing
• Vice-Chairmen of IEEE EUROCON 2005 Int. Conference on Computer as a Tool

Impact:

• Signal processing book as textbook at:
• University of New Orleans, USA, course ENEE 4554, spring 2005
• Florida International University, USA, course EEL 4140, spring 2005
• Algorithms deployed in brand software
1. FilterCAD, Linear Technology, USA, Min-Q-elliptic approximation, design of SC filters, 2001
2. Microwave Office, Applied Wave Research Inc., USA, © 2002, Elliptic approximation
• Citation in 4 books, 17 journal papers (2000-2005)
Online Mathematical Encyclopedia (Elliptic rational functions, 2004-2005)
• Seminars and Talks:
1. General matrix approach to symbolic analysis of linear circuits and systems, 1996, Faculty of Electrical Engineering, "Politehnica" University, December 7, 1996, Bucharest, Romania
2. A Framework for Symbolic Analysis of Linear Circuits and Systems, 1997, The University of Texas at Austin, Texas, USA
3. Advanced Design of Elliptic Filters Using a Symbolic Algebraic Approach, 1997, The University of Texas at Austin, Texas, USA
4. Advanced Analog/Digital IIR Filter Design, 1997, The University of Texas at Austin, Texas, USA
5. Advanced Filter Design Using Mathematica, 1998, Institute for Signal and Information Processing (ISI), the Swiss Federal Institute of Technology (ETH), Zurich, Switzerland
6. Symbolic Analysis of LTI Systems from DrawFilt Schematics, 2002, Wolfram Research, Inc., Champaign, IL, USA
7. Signal Processing Using Mathematica, 2002, Wolfram Research, Inc., Champaign, IL, USA

Software:

1. SchematicSolver version 1, © 2003, Mathematica application package
2. SchematicSolver version 2, © 2004, Mathematica application package, distributed by Wolfram Research, Inc., USA
3. DrawFilt version 2.8, © 2005, Drawing Filters and Systems, IEEE Circuits, Devices Magazine, 2001
4. AFDesign version 2.3, © 2005, Advanced Filter Design
5. AFDSpace version 1.1, © 2005, Advanced Filter Design Space
6. DFSYM version 1.1, © 2004, Digital Filter Symbolic Simulation
7. EMF version 1.0, © 2005, Efficient Multirate Filtering
8. SALECAS © 2000, Symbolic Analysis of Linear Circuits and Systems

Jelena D. Ćertić