Signal Processing

Objectives:

To present the methods of description and transformation of deterministic signals for continuous and discrete time processing. To present basic knowledge about design of digital signal and 2D image filter. To introduce popular signal transforms and typical filter.

Contents:

• Analog and digital signal conversion. Continuous and discrete signal processing.
• Linear and nonlinear systems. Common signal decompositions.
• Convolution. Common impulse responses. Correlation.
• Fourier transform. Spectral analysis of signals, Frequency response of systems.
• Discrete Fourier transform. Fast Fourier transform.
• 2-D Fourier transform. Wavelet transform. DWT.
• Digital filter. Common filter. Deconvolution and optimal filter.
• Recursive filter. Chebyshev filters.
• 2-D Image filter
• Laplace transform. Z-transform.

Recommended texts:

• Steven W. Smith, The Scientist and Engineer's Guide to Digital Signal Processing. Second Edition, California Technical Publishing, San Diego, CA, 1999, on-line: www.dspguide.com.
• A.V. Oppenheim, R.W. Schafer, J.R. Buc, Discrete-Time Signal Processing. Second Edition. Prentice-Hall 1999.
• R.C. Gonzalez, P. Wintz. Digital Image Processing. Addison-Wesley, 2nd ed., 1987.

Further readings:

• will be provided by lecturer.

The students will be able to:

• Represent continuous signals by their discrete equivalents,
• Decompose complex signals,
• Analyze the signals in Fourier domain,
• Design basic filters for signal and image processing,
• Apply the filter to process a signal and image,

30% continuous tutorial assessment, 70% mid-term and end-semester tests