This book is a collection of tutorial-like chapters on all core topics of signals and systems and the electronic circuits. All the topics dealt with in the book are parts of the core syllabi of standard programs in Electrical Engineering, Electrical and Computer Engineering, and Electronics and Telecommunication Engineering domains. This book is intended to serve as a secondary reader or supplementary text for core courses in the area of signals and systems, electronic circuits, and analog and digital signal processing. When studying or teaching a particular topic, the students and instructors of such courses would find it interesting and worthwhile to study the related tutorial chapter in this book in order to enhance their understanding of the fundamentals, simplification of procedures, alternative approaches and relation to other associated topics. In addition, the book can also be used as a primary or secondary text in short-term or refresher courses, and as a self-study guide for professionals wishing to gain a comprehensive review of the signals and systems domain.
Section I: Signals and Systems.- 1. Basic Concepts in Signals and
Systems.-
2. The Mysterious Impulse Function and Its Mysteries.-
3. State
Variables Part I.-
4. State Variables Part II.-
5. Carry Out Partial
Fraction Expansion of Functions with Repeated Poles.-
6. A Very Simple Method
of Finding the Residues at Repeated Poles of a Rational Function in z1.-
Section II: Passive Circuits.-
7. Circuit Analysis without Transforms.-
8. Transient Response of RLC Networks Revisited.-
9. Appearances can be
Deceptive: A Circuit Paradox.-
10. Appearances can be Deceptive- An Initial
Value Problem.-
11. Resonance.-
12. The Many Faces of the Single Tuned
Circuit.-
13. Analyzing the Parallel-T RC Network.-
14. Design of Parallel-T
Resistance Capacitance Networks for Maximum Selectivity.-
15. Perfect
Transformer, Current Discontinuity and Degeneracy.-
16. Analytical Solution
to the Problem of Charging a Capacitor through a Lamp.-
17. Difference
Equations, z-Transforms and Resistive Ladders.-
18. A Third Order Driving
Point Synthesis Problem.-
19. Interference Rejection in a UWB
System: An Example of LC Driving Point Synthesis.-
20. Low Order
Butterworth Filters: From Magnitude to Transfer Function.-
21.
Band-Pass/Band-Stop Filter Design by Frequency Transformation.-
22.
Optimum Passive Differentiators.- Section III: Active Circuits.-
23.
Amplifier Fundamentals.-
24. Appearances can be Deceptive: The Case of a BJT
Biasing Circuit.-
25. BJT Biasing Revisited.-
26. Analysis of a High
Frequency Transistor Stage.-
27. Transistor Wien Bridge Oscillator.-
28.
Analyzing Sinusoidal Oscillator Circuits: A Different Approach.-
29.
Triangular to Sine Wave Converter.- 30. Dynamic Output Resistance of the
Wilson Current Mirror.- Section IV: Digital Signal Processing.-
31. The
ABCDs of Digital Signal Processing (Part 1).-
32. The ABCDs of Digital
Signal Processing (Part 2).-
33. On Second Order Digital Band-Pass and
Band-Stop Filters.-
34. Derivation of Second Order Canonic All-Pass Digital
Filter Realizations.-
35. Derivation of the FIR Lattice Structure.- 36.
Solution to a Problem in FIR Lattice Synthesis.-
37. FIR Lattice Structures
with Single Multiplier Sections.-
38. A Note on the FFT.- Appendix : Some
Mathematical Topics Simplified.- A.1. A Semi-Analytical Method for Finding
the Roots of a Polynomial.- A.2. A Fresh Look at the Eulers Relation.- A.3.
Approximating the Square Root of the Sum of Two Squares .- A.4. On the
Solution of Quartic and Cubic Equations.- A.5. Many Ways of Solving an
Ordinary Linear Second Order Differential Equation with Constant
Coefficients.- A.6. Proofs of Two Chebyshev Polynomial Identities Useful in
Digital Filter Design.- A.7. Computation of the Coefficients of Chebyshev
Polynomials .- Sources.
Suhash Chandra Dutta Roy is an Indian electrical engineer and a former professor and head of the department of electrical engineering at the Indian Institute of Technology, Delhi. He is known for his studies on analog and digital signal processing and is an elected fellow of all the three major Indian science academies viz. Indian Academy of Sciences, Indian National Science Academy, National Academy of Sciences, India as well as the Institute of Electrical and Electronics Engineers, Institution of Electronics and Telecommunication Engineers, Systems Society of India and Acoustical Society of India,The Council of Scientific and Industrial Research, the apex agency of the Government of India for scientific research, awarded him the Shanti Swarup Bhatnagar Prize for Science and Technology, one of the highest Indian science awards for his contributions to Engineering Sciences in 1981. Dutta Roy has designed and authored video courses covering five semesters which are being promoted by National Programme on Technology Enhanced Learning, the e-learning platform of the Ministry of Human Resource Development, through their online learning platform.He has been associated with several government agencies as well as a number of international science journals such as International Journal of Circuit Theory and Applications, and Circuits and Systems journal. He was the guest editor for Issue 5 volume 34 of the Journal of Research of the Institution of Electronics and Telecommunication Engineers. He served as a member of the administrative council of the Indian National Science Academy in 2009 and is a member of the National Advisory Committee of Institute of Radio Physics and Electronics of the University of Calcutta. He has delivered invited or keynote speeches at many international seminars and conferences, the 54th Annual Meetingof Indian Association for the Cultivation of Science in 1989 and the 2013 International Conference on Signal Processing and Communication (ICSC 2013) featuring among them.