{"id":998,"date":"2013-02-11T23:41:11","date_gmt":"2013-02-11T21:41:11","guid":{"rendered":"https:\/\/staging.speed.pub.ro\/?page_id=998"},"modified":"2026-09-09T17:53:54","modified_gmt":"2026-09-09T14:53:54","slug":"digital-signal-processing","status":"publish","type":"page","link":"https:\/\/staging.speed.pub.ro\/speed3\/academic\/digital-signal-processing\/","title":{"rendered":"Digital Signal Processing"},"content":{"rendered":"<p>Course in Bachelor&#8217;s program (3rd year, series E)<\/p>\n<h3>Teachers<\/h3>\n<p><a href=\"https:\/\/staging.speed.pub.ro\/people\/dragos-burileanu\/\" target=\"_blank\" rel=\"noopener\"><strong>Prof. Drago\u0219 Burileanu<\/strong><\/a><br \/>\n<a href=\"https:\/\/staging.speed.pub.ro\/people\/serban-mihalache\/\" target=\"_blank\" rel=\"noopener\"><strong>Lect. \u0218erban Mihalache<\/strong><\/a><br \/>\n<a href=\"https:\/\/staging.speed.pub.ro\/people\/cristian-teodor-neamtu\/\" target=\"_blank\" rel=\"noopener\"><strong>Cristian-Teodor Neam\u021bu<\/strong><\/a><\/p>\n<h3>Course Description<\/h3>\n<p style=\"text-align: justify;\">This course is studied within the \u201cElectronic Engineering, Telecommunications, and Information Technologies\u201d domain \/ \u201cMicroelectronics, Optoelectronics and Nanotechnologies\u201d specialization, and aims to familiarize students with the fundamental aspects of digital signal processing: specific algorithms, processing techniques, and practical implementation considerations. The primary goal is to understand the phenomena associated with the main DSP techniques, from the perspective of the system designer. Numerous examples and detailed explanations in the lectures help to clarify more difficult theoretical aspects, as well as to solve practical applications and problems, with relevance to stimulating the students\u2019 learning process. Additionally, the laboratory applications aim to provide practical mastery of the main concepts in the DSP field. The implemented applications include various software simulations using the MATLAB development environment.<\/p>\n<p style=\"text-align: justify;\">The course covers the following basic concepts and specific topics: time and frequency domain representation and analysis of discrete signals and systems, the Discrete Fourier Transform and the concept of frequency resolution, Fast Fourier Transform algorithms, synthesis and analysis of digital filters. All of these contribute to providing students with an overview of the methodological and procedural benchmarks of the DSP field.<\/p>\n<h3>Contents<\/h3>\n<p style=\"text-align: justify;\"><strong>Course<\/strong><\/p>\n<ul>\n<li style=\"text-align: justify;\">\u201cIntroduction\u201d \u2013 Generalities. Examples; comparison with analog solutions. Performance and limitations in digital signal processing<\/li>\n<li style=\"text-align: justify;\">\u201cTime-domain representation of discrete signals and systems\u201d \u2013 Discrete-time signals: definition, examples, notation conventions; properties, fundamental operations. Discrete-time systems: linearity and time invariance, convolution; causality and stability; digital filters<\/li>\n<li style=\"text-align: justify;\">\u201cFrequency-domain representation of discrete signals and systems\u201d \u2013 Basic concepts of Fourier analysis. Frequency response of a discrete system; the Fourier transform for discrete-time, aperiodic signals. Sampling and reconstruction of analog signals. Time \u2013 frequency duality in digital signal processing<\/li>\n<li style=\"text-align: justify;\">\u201cAnalysis of discrete systems using the z-transform\u201d \u2013 The z-transform for discrete-time signals. The inverse z-transform. Characterization of digital filters: transfer function, stability, frequency response; examples<\/li>\n<li style=\"text-align: justify;\">\u201cThe discrete Fourier transform (DFT)\u201d \u2013 Fourier representation of finite-duration sequences. The connection between the discrete Fourier transform and the z-transform; \u201cfrequency sampling\u201d. The discrete Fourier transform for unlimited duration signals. Window functions. Frequency resolution. DFT properties<\/li>\n<li style=\"text-align: justify;\">\u201cThe fast Fourier transform (FFT)\u201d \u2013 Discrete Fourier transform computation complexity. Basics of the fast Fourier transform; efficient computation of the DFT. The Cooley-Tukey (decimation-in-time) algorithm. Practical aspects of FFT implementation and optimization techniques<\/li>\n<li style=\"text-align: justify;\">\u201cDigital filter design\u201d \u2013 Basic concepts, classification, frequency domain specifications; from the requirements of an application to the development and testing of a digital filter. Infinite impulse response (IIR) digital filter design. Finite impulse response (FIR) digital filter design. Digital filter structures and representation. Computation complexity of digital filters<\/li>\n<\/ul>\n<p><strong>Laboratory<\/strong><\/p>\n<ul>\n<li style=\"text-align: justify;\">Introduction to the MATLAB development environment. Generation and time-domain representation of discrete sequences<\/li>\n<li style=\"text-align: justify;\">Time-domain representation of discrete systems: convolutions, impulse response, stability. Simple digital filters: time-domain response, transfer function, pole-zero diagrams, frequency response<\/li>\n<li style=\"text-align: justify;\">Frequency-domain representation of discrete-time signals: the Discrete Fourier Transform (DFT), spectral analysis fundamentals, Fast Fourier Transform (FFT)<\/li>\n<li style=\"text-align: justify;\">Digital filters: synthesis, analysis, implementation<\/li>\n<li style=\"text-align: justify;\">Various applications of digital signal processing. Digital filters for audio applications<\/li>\n<li style=\"text-align: justify;\">Additional problems for digital signal processing applications<\/li>\n<li style=\"text-align: justify;\">Final colloquium<\/li>\n<\/ul>\n<h3>Grading<\/h3>\n<p>Laboratory evaluation (continuous): 20%<br \/>\nLaboratory evaluation (colloquium): 20%<br \/>\nCourse midterm test (written): 10%<br \/>\nCourse final exam (written): 50%<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Course in Bachelor&#8217;s program (3rd year, series E) Teachers Prof. Drago\u0219 Burileanu Lect. \u0218erban Mihalache Cristian-Teodor Neam\u021bu Course Description This course is studied within the \u201cElectronic Engineering, Telecommunications, and Information Technologies\u201d domain \/ \u201cMicroelectronics, Optoelectronics and Nanotechnologies\u201d specialization, and aims to familiarize students with the fundamental aspects of digital signal processing: specific algorithms, processing techniques,<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":14,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-998","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/pages\/998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/comments?post=998"}],"version-history":[{"count":30,"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/pages\/998\/revisions"}],"predecessor-version":[{"id":4991,"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/pages\/998\/revisions\/4991"}],"up":[{"embeddable":true,"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/pages\/14"}],"wp:attachment":[{"href":"https:\/\/staging.speed.pub.ro\/speed3\/wp-json\/wp\/v2\/media?parent=998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}