Linear Algebra (1º) Systems and Circuits (1º) Linear Systems (2º) Math Extension (2º) Electronic Components and Circuits (2º)

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.

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.

- Theoretical-Practical Classes - 1.68 ECTS - Workshops and laboratory sessions - 0,32 ECTS - Student individual work or group work - 3,84 ECTS - Final Exam - 0,16 ECTS These activities are detailed below: * Theoretical lectures: Theoretical lectures will include the use of blackboard and slide material to illustrate the main concepts of the subject. Explanation of these concepts will be supplemented with exercises and sketches of problem solutions. * Practical classes (problem solving-sessions) Previously published problems that students should have worked on beforehand are solved and/or explained. Problem solving by students at home, and by the teacher in class, will help students apply the concepts presented in theoretical classes in to more practical context and assess their knowledge. * Laboratories: It is intended to carry out two "software" laboratory in computer classroom where the student can simulate the circuits that have been analyzed or designed in the theoretical sessions. With these simulations, students can evaluate the success of the analysis and design techniques learned in class. Before attending the laboratory session, students must complete some preparatory work. This preparatory work is also assessed. * Student individual work or group work: In addition to the study required to understand the subject and prepare for the final examination, students must complete the exercises published for each topic and the preliminary work for each laboratory session. * Tutoring sessions: Individual tutorials on specific topics will be arranged with the teacher. If necessary, group tutorials may be organised to provide the group with information on how to solve the exercises and the results of the tests.