Digital Signall Processing

Course title: Digital Signall Processing

Code: 3ФЕИТ05З012

Number of credits (ECTS): 6

Weekly number of classes: 3+1+1+0

Prerequisite for enrollment of the subject: Taken course:Signals and Systems

Course Goals (acquired competencies): The course aims to provide a formal understanding of the basic concepts of digital signal processing as well as practical experience for processing digital signals. After completing the course, the student is able to: digitally process analog signals taking into account all the possible consequences of their discretization; to use DFT and its fast FFT algorithm in the domain of spectral analysis aware of all the consequences; to design IIR and FIR digital filters as well as to use software tools and CAD packages for designing or simulating digital filters.

Total available number of classes: 180

Course Syllabus: Discrete systems. Transfer function. Frequency characteristic. Discrete systems excited by random signals. Discretisation. Discrete Fourier Transformation (DFT): Definition, Properties, Fast Fourier Transformation (FFT). Convolutions: linear, circular, relationship between them, filtering with FFT, convolution of long sequences. Spectral analysis with DFT: spectrum of finite and infinite signals, calculation of the signal from the spectrum, calculation of the analog signal from the spectrum. Digital filters: classification, methods for designing FIR digital filters, methods for designing IIR digital filters. Quantization. Quantization effects.

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