ITU EEF 206E Signal Processing and Linear Systems Spring 2023

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Welcome to EHB206E: Signal Processing and Linear Systems! The Spring 2023 course information, materials, and links are recorded below.

Syllabus

Lectures: TBD

Instructor: Prof. Dr. Ender Mete Ekşioğlu

Teaching Assistant: MSc. Hasan Hüseyin Karaoğlu

Catalog Description: Introduction to continuous-time (CT) signals and systems; Classification of CT signals and important CT signals; CT system properties; CT linear time invariant (LTI) systems: impulse response, CT convolution integral, differential equations; CT Fourier series expansion (CTFS); CT Fourier transform (CTFT); Relationship between CTFT and CTFS; Laplace transform; Transform domain analysis of CT- LTI systems; Sampling and sampling theorem; Uniform Quantization; Introduction to discrete-time (DT) signals and systems; Classification of DT signals and important DT signals; DT system properties; DT-LTI systems; Time domain representations of DT-LTI systems: impulse response, DT convolution sum, difference equations; DT Fourier series expansion (DTFS); DT Fourier transform (CTFT); Relationship between DTFT and DTFS; ztransform; Transform domain analysis of DT- LTI systems; Telecommunication applications; Modulation and demodulation; Filtering; Multidimensional signals; Image processing applications

Textbook: “Signals and Systems”, A. V. Oppenheim, A. S. Willsky and S. H. Nawab. 2nd edition, Prentice Hall, 1997.

Some reference texts:

  • “Signals and Systems: Analysis Using Transform Methods and MATLAB”, M. J. Roberts, 2nd edition, McGraw-Hill, 2012.
  • “Signals and Systems”, Hwei Hsu, Schaum’s Outline, McGraw-Hill, 2013.
  • “Sinyaller ve Sistemler”; A. V. Oppenheim, A. S. Willsky ve S. H. Nawab. 2. basımdan çeviri; Akademi Yayıncılık; 2008.
  • “Signals and Systems”, Simon Haykin and Barry van Veen. John Wiley and Sons, 2002.

Course Plan

Week Topic
1 Continuous-time signals and systems
2 Continuous-time linear time invariant (LTI) systems
3 Continuous-time convolution, continuous-time differential equations
4 Continuous-time Fourier series expansion
5 Continuous-time Fourier transform
6 Laplace transform, analysis of continuous-time LTI systems
7 Sampling and quantization
8 Discrete-time signals and systems
9 Discrete-time LTI systems, discrete-time convolution and difference equations
10 Discrete-time Fourier series
11 Discrete-time Fourier transform
12 z-transform, analysis of discrete-time LTI systems
13 Telecommunication applications, modulation and demodulation, filtering
14 Multidimensional signals, image processing applications

Recitations:

Exams: TBD.

Resources:

Problem sets

HW Questions
1 1.49, 1.54, 1.56, 1.53, 1.55, 1.25, 1.30, 1.27, 1.31, 1.28, 1.32, 1.38, 1.39, 1.42, 1.45, 1.33, 1.36, 1.47, 1.37
2 2.22 ; 2.23; 2.27; 2.36; 2.29; 2.34; 2.41; 2.42; 2.46; 2.49; 2.52; 2.54; 2.60; 2.53; 2.47; 2.44; 2.43; 2.59 ; 2.62; 2.64; 2.65;2.66; 2.67; 2.71
3 3.22; 3.25; 3.26; 3.29; 3.31; 3.36; 3.39; 3.43; 3.44; 3.45; 3.50; 3.52; 3.60; 3.66; 3.70
4 4.22; 4.23; 4.25 ; 4.31; 4.28; 4.37; 4.40; 4.43 ; 4.46; 4.47; 4.44 ; 4.49; 4.48
5 5.21 h,i; 5.23; 5.26; 5,28; 5.30; 5.33; 5.34; 5.41; 5.45; 5.47; 5.48; 5.51; 5.53
6 7.6; 7.9; 7.10; 7.11; 7.16; 7.22; 7.26; 7.28; 7.30; 7.41; 7.44; 7.52; 7.23; 7.27; 7.29; 7.31; 7.34; 7.36; 7.43; 7.48
7 10.22; 10.33; 10.37; 10.45; 10.46; 10.43; 10.55; 10.27; 10.31; 10.34; 10.41; 10.47; 10.48; 10.58; 10.65

Exams

Lecture Material and Summaries