Checking date: 17/01/2025


Course: 2024/2025

Linear networks analysis and synthesis
(15377)
Bachelor in Telecommunication Technologies Engineering (Plan: 445 - Estudio: 252)


Coordinating teacher: LLORENTE ROMANO, SERGIO

Department assigned to the subject: Signal and Communications Theory Department

Type: Compulsory
ECTS Credits: 6.0 ECTS

Course:
Semester:




Requirements (Subjects that are assumed to be known)
Linear Algebra (1º) Systems and Circuits (1º) Linear Systems (2º) Math Extension (2º) Electronic Components and Circuits (2º)
Objectives
1. Transversal/Generic (Be capable of...) - solving mathematical analysis and synthesis problems. - apply scientific and technical knowledge to practical situations. - solve problems stated mathematically. - integrate theoretical knowledge into the solution of problems. 2. Specific * Cognitive (be capable of stating...) - deciding and stating the advantages of using mesh or node analysis for a particular network. - identifying matrices of mesh and node methods and tell whether they belong to reciprocal systems. - naming and identifying the different types of system functions/transfer functions for stable causal linear networks and the relationships between responses in the Laplace, real frequency and time domains. - describing part of a network as a two-port. - name the different types and manifestations of power in a network with two-ports. - stating the maximal power transfer theorems for generators and loads with and without an interposing two-port. - state the concept of conjugate matching. - relating natural and logarithmic power units. - stating the conditions for a network to be reciprocal and/or symmetrical - describing the filter synthesis process. - graphing the analog filter prescription functions in modulus and attenuation. - stating the difficulties in synthesising an ideal low-pass transfer function. - stating Approximation Theory for the design of low-pass LC analog filters. - mathematically describing frequency transforms for high-pass, band-pass and suppressed-band filters. - state the advantages of working in normalized frequency, impedance, resistance, inductance and capacitance. - differentially characterizing, wrt the analog version, the transfer function in the Z domain of digital filters both for infinite and finite impulse responses (IIR & FIR) - stating a discrete-time domain response from a difference equation. - sketching direct architectures for digital filters. * Procedural/instrumental (e.g. Be capable of working out...) - stating and solving analysis equations for linear networks with mesh and node methods both in stationary sinusoidal and in stationary and transient regimes with the unilateral Laplace transform. - same with two-ports included in them. - describing two-ports by their impedance, admittance, power transfer and image parameters. - specifying and synthesising passive low-, high-, bandpass and suppressed band analog filters using the Butterworth and Chebychev approximations. - specifying and synthesising said filters in the digital case resorting to analog sinthesis. - simulating analog filters digitally.
Skills and learning outcomes
CB1: Students have demonstrated possession and understanding of knowledge in an area of study that builds on the foundation of general secondary education, and is usually at a level that, while relying on advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study CB2: Students are able to apply their knowledge to their work or vocation in a professional manner and possess the competences usually demonstrated through the development and defence of arguments and problem solving within their field of study. CG3: Knowledge of basic and technological subject areas which enable acquisition of new methods and technologies, as well as endowing the technical engineer with the versatility necessary to adapt to any new situation. CG13: Understanding and command of basic concepts of linear systems and related functions and transformers. Electrical circuit theory, electronic circuits, physical principles of semiconductors and logic families, electronic and photonic devices, materials technology and their application in resolving problems characteristic of engineering. ECRT9: Ability to analyze and design combinational and sequential circuits, synchronous and asynchronous circuits and use of microprocessors and integrated circuits. ETEGITT2: Ability to select circuits, radiofrequency, microwave, radio broadcasting, radio-links and radio determination subsystems and systems. RA1: Knowledge and understanding of the general fundamentals of engineering, scientific and mathematical principles, as well as those of their branch or specialty, including some knowledge at the forefront of their field. RA2:  Analysis. Graduates will be able to solve engineering problems through an analysis process, identifying the problem, recognising specifications, establishing different methods of resolution, selecting the most appropriate one and implementing it correctly. They must be able to use various methods and recognize the importance of social constraints, human health, safety, the environment, as well as commercial constraints. RA4: Research. Graduates will be able to use appropriate methods to carry out detailed research and studies of technical aspects, commensurate with their level of knowledge. The research involves bibliographic searches, design and execution of experiments, interpretation of data, selection of the best proposal and computer simulation. May require consultation of databases, standards and security procedures. RA5: Applications. Graduates will have the ability to apply their knowledge and understanding to solve problems, conduct research, and design engineering devices or processes. These skills include knowledge, use and limitations of materials, computer models, process engineering, equipment, practical work, technical literature and information sources. They must be aware  of all the implications of engineering practice: ethical, environmental, commercial and industrial.
Description of contents: programme
Unit 1: Systematic Linear Network analysis in stationary sinusoidal regimes with mesh and nodal analysis. 1.1. Description of RLC components in SSR. 1.2. Using systematic methods for linear network analysis 1.2.1. Mesh analysis 1.2.2. Nodal analysis 1.3. Networks with mutual inductance and transformers 1.4. Real, reactive, and apparent powers. Complex conjugate matching. Unit 2: Linear Network analysis using the unilateral Laplace transform. 2.1. The unilateral Laplace transform 2.2. The generalisation of analysis theorems to the Laplace domain. Use in network analysis: free, driven, stationary and transient regimes. 2.3. Transfer functions. Frequency response. Phase and amplitude response. Unit 3: Two-port network analysis 3.1. Two-port description: [z], [y] and [F] parameters. 3.2. Two-port interconnection. 3.3. Image parameters. 3.4. Loaded two-ports. Insertion and transmission losses. Matched two-ports. Conjugate matching. Logarithmic measurement units: Nepers and decibels. Unit 4: An introduction to the synthesis of passive, analog filters. 4.1. Filtering. Phase and group delay. Phase equalisation. Filter types. Filter specification. 4.2. Filter characterization functions. 4.3. Low-pass filter approximation theory. Parameter normalization. Frequency transformations. 4.4. Butterworth and Chebychev filter synthesis: low-pass, high-pass, band-pass and suppressed band. Unit 5: An introduction to the synthesis of digital filters. 5.1. A comparison with analog filters. 5.2. Z domain transfer functions with infinite and finite impulse responses. Difference equations. Direct architectures. Stability. 5.2. FIR filter synthesis from analog synthesis. 5.3. Analog filter simulation with digital filters.
Learning activities and methodology
Four different teaching/learning activities will be used: theoretical lectures, problem-solving sessions, problem solving assignment and formative evaluation assessment tests. ECTS credits include in all cases an allotment for personal work and team problem-solving work. Theoretical Lectures (2,48 ECTS) Theoretical lectures will include the use of blackboard and slide material to illustrate main concepts in subject. The explanation of theoretical concepts will be complemented with exercises and problem solution sketches. These lectures will require personal initiative and research plus theoretical study: he/she might be asked to develop particular concepts or apply them to specific problem instances either individually or in group. PROBLEM SOLVING-SESSIONS AND PROBLEM-SOLVING ASSIGNMENTS(2,64 ECTS) For problem-solving sessions, students will be given problem statements in advance. Sometimes they will be required to meet in or off class time with fellow students to made solution easier. Problem solving will include common review of solutions and instructor-led correction. These should help ground knoledge and develop the ability to analyse and transmit information relevant to problem-solving. Common review is expected to improve opinion exchange between instructors and students. Each one of these sessions could inclue a shoft continuous assessment test about the topics studied during the week. PRACTICAL EXERCISES (0,86 ECTS) Two practcical exercises will be held a week past the end of units 2 and 4. CAD software tools will be used to simulate the behaviour of circuits whose analysis and synthesis have been studied in the previuous weeks. The student will be able to apply the studied topics to a simple engineering problem. Individual tutoring sessions are intended to involve specific, clearly defined aspects. Appointments will be managed through the learning management system being used during the course. Collective tutoring sessions will be held after evaluative assessment sessions and their marks are made public to provide feedback to the group about the solution and assessment results.
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40

Calendar of Continuous assessment


Extraordinary call: regulations
Basic Bibliography
  • A.V. Oppenheim and R.W. Shafer. Discrete-Time Signal Procesing. Prentice-Hall: Englewood Cliffs NJ. 1989
  • Anant Agarwal. Foundations of Analog and Digital Electronic Circuits. Elsevier. 2005
  • C. K. Tse. Linear circuit analysis. Addison-Wesley. 1998
  • G.C. Temes and J.W. Lapatra. Introduction to Circuit Synthesis and Design. McGraw-Hill: NY. 1977
  • J.W. Nilsson and S. Riedel. Eletric Circuits. Addison Wesley: Reading MA. 1992
  • R. A. DeCarlo. Linear Circuit Analysis. Oxford University Press. 2001
  • Santiago Cogollos Borrás. Fundamentos de la teoría de filtros. Universitat Politécnica de Valéncia. 2016
Recursos electrónicosElectronic Resources *
Additional Bibliography
  • A. Papoulis. Circuits and Systems. A modern Approach. Holt, Rinehart & Winston: New York NY. 1980
  • F.J. Taylor. Principles of Signal and System. McGraw-Hill: New York NY. 1994
  • P.R. Adby. Applied Circuit Theory Matrix and Computer Methods: Ellis Horwood Series on Electrical and Electronic Engineering. John Wiley & Sons. 1990
  • R. Decarlo and P.M. Lin. Linear Circuit Analysis Vol. II. Prentice-Hall: Englewood Cliffs NJ. 1995
  • S. Karni. Applied Circuit Analysis. John Wiley & Sons: New York NY. 1988
  • W. M. Siebert. Circuits, Signals, and Systems. MIT Press: ISBN: 0262192292. 1985
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The course syllabus may change due academic events or other reasons.