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ECTS:
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6
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Lecturers in charge:
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Prof. dr. sc.
Mervan Pašić
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English level:
1,1,1
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All teaching activities in the course will be held on English. This level includes courses with multiple groups (i.e., all teaching will be held strictly in Croatian for Croatian groups, and strictly in English for English groups).
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Description:
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Fourier analysis: series, transform and integral. The Laplace transform. The discrete transforms: DFT, FFT, and z-transform. The distributions: regular, delta and singular. Wavelet analysis: orthonormal bases, translation, dilatation and modulation, construction, examples. Hilbert spaces. Multiresolution analysis (MRA). Decomposition and reconstruction algorithms. Continuous Wavelet transform. Applications: signal analysis, communication theory, data compression, differential equations.
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Literature:
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- E. Hernandez, G. Weiss, A First Course on Wavelets, CRC Press, New York, 1996.
- S. Jafard, Y. Meyer, R. D. Ryan, Wavelets. Tools for Science&Technology, SIAM, Philadelphia, 2001.
- M. Pašić, Wavelet, integralne i diskretne transformacije, Skripta FER, Zagreb, 2005.
- M. Vetterli, J. Kovačević, Wavelets and Subband Coding, Prentice Hall PTR, Englewood Cliffs, New Jersey, 2007.
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Zimski semester
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course for
Graduation study
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