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Digital Signal Processing

COURSE: Digital Signal Processing

Code: ФЕИТ050006

ECTS points: 6 ECTS

Number of classes per week: 3+0+0+3

Lecturer: Assoc. prof. Dimitar Taskovski

Subject of the course content: z-transform (definition, convergence, properties, inverse transform) Discrete–time systems. Transfer function. Frequency response. Discrete –time systems with random input.  Discrete Fourier Transform (DFT): definition, properties, Fast Fourier Transform (FFT), FFT algorithm. Convolutions by FFT: liner convolution, circular convolution, relation between them, filtering with FFT, implementing LTI systems using DFT (“Convolution of long sequences”). Fourier analysis of signals using DFT- Spectral analysis: spectrum of finite-length and infinite-length sequences, effects of spectral sampling on discrete signal and continuous signal. Digital Filter design techniques: classification of filters, FIR filter design methods, IIR filter design methods.


  1. М. Богданов и С. Богданова, Дигитално процесирање на сигнали, ЕТФ Скопје, 1998
  2. A. Oppenheim, R. Schafer, J. Buck  Discret- Time Signal Processing, 2 edition, Prentice Hall, 1999
  3. Mitra Sanjit K, Digital Signal Processing:A Computer-Based approach, 2 еdition, McGraw Hill, 2001