Knowledge of the frequency representation of a deterministic signal. Ability to analyze deterministic signals and calculate fundamental properties (spectrum, power/energy).
Course Prerequisites
Knowledge acquired in previous courses in mathematics.
Teaching Methods
The course is structured into lectures and practical exercises focusing on analog and digital signal processing, with an approach aimed at both theoretical understanding and practical application of the concepts. Lectures (hours/year in classroom): 16 Delivered with the support of PowerPoint presentations, supplemented by explanations on the whiteboard and discussions of application examples to enhance the understanding of the topics covered. Practical Exercises (hours/year in classroom): 12 Dedicated to problem-solving activities, with an initial phase where the instructor presents and solves example exercises on the whiteboard, followed by a guided session in which students, working in small groups, are assisted by the instructor in independently solving assigned exercises. This methodology promotes interaction between students and instructor and fosters collaborative problem-solving skills. One of the practical sessions will be dedicated to the presentation of a real-world application and the guided development of a solution using MATLAB, in order to illustrate the practical implementation of the theoretical concepts covered in the course. Laboratory Sessions (hours/year in laboratory): 0 The course does not include laboratory activities. All teaching materials, including PowerPoint presentations, explanatory notes, and solved exercises, are made available to students in the course section on the Moodle KIRO platform.
Assessment Methods
The final exam consists of a written test lasting 90 minutes, aimed at assessing the student’s knowledge. The test includes one numerical exercise and two open-ended questions covering the main topics addressed during the course. During the exam, students are allowed to use a non-programmable scientific calculator. The instructor will provide a formula sheet containing the main reference formulas. The evaluation is graded on a scale of 18 to 30, with 18 as the minimum passing grade and 30 with honors as the maximum grade.
Texts
Oppenheim, Alan V., and A. S. Willsky. Signals and Systems. Prentice Hall, 1982.
Contents
Analog signals: Deterministic signals in the frequency domain. Fourier series in exponential form. Response of linear systems and properties of transfer functions. Power and energy signals. Power spectral density and energy. The Fourier transform. The convolution theorem. Parseval's theorem. Correlation between waveforms. Auto correlation. Power and cross correlation. Digital signals: Discrete time signals, sampling theorem. Analysis of digital systems in the Fourier and Z transform domains, Discrete Fourier Transform and Fast Fourier Transform.
