Signals (ENS 211)

2025 Fall
Faculty of Engineering and Natural Sciences
Engineering Sciences(ENS)
3
6
Mohaned Chariti mohaned.chraiti@sabanciuniv.edu,
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English
Undergraduate
MATH101
Formal lecture,Interactive lecture,Recitation
Interactive,Learner centered,Communicative
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Programs\Type Required Core Elective Area Elective
Computer Science and Engineering *
Computer Science and Engineering *
Data Science and Analytics *
Data Science and Analytics *
Electronics Engineering *
Electronics Engineering *
Industrial Engineering *
Industrial Engineering (Previous Name: Manufacturing Systems Engineering) *
Materials Science and Nano Engineering *
Materials Science and Nano Engineering (Previous Name: Materials Science and Engineering) *
Mechatronics Engineering *
Mechatronics Engineering *

CONTENT

Continuous and discrete, periodic and aperiodic signals, impulse, unit step signals. Spectrum representation of a signal. Fourier series representation of periodic signals. System concept. Continuous and Discrete Finite Impulse Response (FIR) Systems. Linear Time Invariant (LTI) Systems. Impulse response and Frequency response of LTI systems. Fourier transform of aperiodic and periodic signals. Filtering in time and frequency domain. Sampling of continuous signals. Aliasing. Bandlimited reconstruction, interpolation. Basic Amplitude Modulation.

OBJECTIVE

Major objectives of this course are:
1) To utilize mathematics as a tool for describing and understanding signals and systems.
2) To provide a broad introduction to signals.
3) To comprehend linear time invariant (LTI) system fundamentals both in time and frequency domains.

LEARNING OUTCOMES

  • Describe a periodic signal in time domain by defining its properties such as the fundamental period and fundamental frequency.
  • Define a periodic signal as a sum of sinusoids or complex exponentials, i.e., create the Fourier series representation of a periodic signal and reconstruct the signal back from such representation through Fourier analysis and synthesis equations.
  • Construct the spectrum representation of a periodic signal.
  • Identify Finite Impulse Response (FIR) systems, Linear Time Invariant (LTI) Systems, and their properties.
  • Define the impulse response of an LTI system both in continuous-time and discrete-time, and system properties such as stability and causality.
  • Define the frequency response of an LTI system and its properties.
  • Construct forward and inverse Fourier Transforms of both periodic and aperiodic continuous-time signals.
  • Describe ideal frequency selective filters (low-pass, high-pass, band-pass) in the frequency domain.
  • Perform frequency filtering over the spectrum of a signal.
  • Describe the Sampling Theorem and conversion between continuous time and discrete-time domains.
  • Describe basic principles of an Amplitude Modulation and Demodulation System.

PROGRAMME OUTCOMES

1. Understand the world, their country, their society, as well as themselves and have awareness of ethical problems, social rights, values and responsibility to the self and to others. 1

2. Understand different disciplines from natural and social sciences to mathematics and art, and develop interdisciplinary approaches in thinking and practice. 4

3. Think critically, follow innovations and developments in science and technology, demonstrate personal and organizational entrepreneurship and engage in life-long learning in various subjects; have the ability to continue to educate him/herself. 4

4. Communicate effectively in Turkish and English by oral, written, graphical and technological means. 2

5. Take individual and team responsibility, function effectively and respectively as an individual and a member or a leader of a team; and have the skills to work effectively in multi-disciplinary teams. 4

1. Possess sufficient knowledge of mathematics, science, fundamental engineering, computational methods and program-specific engineering topics; use theoretical and applied knowledge of these areas in complex engineering problems. 5

2. Identify, define, formulate and solve complex engineering problems while considering the UN Sustainable Development Goals; choose and apply suitable analysis, design, estimation/prediction and modeling methods for this purpose. 5

3. Develop, choose and use modern techniques and tools that are needed for analysis and solution of complex problems faced in engineering applications; use information technologies effectively. 4

4. Have the ability to design a complex system, process, instrument or a product under realistic constraints and conditions, with the goal of fulfilling creative current and future requirements. 4

5. Use research methods, including conducting literature reviews, designing experiments, performing experiments, collecting data, analyzing results, and interpreting results, to investigate complex engineering problems or discipline-specific research topics. 3

6. Possess knowledge of business practices such as project management, risk management, change management, and economic feasibility analysis; awareness on entrepreneurship and innovation. 2

7. Possess knowledge of impact of engineering solutions on society, health and safety, the economy, sustainability, and the environment within the framework of the UN Sustainable Development Goals; awareness on legal outcomes of engineering solutions; awareness of acting impartially and inclusively without any form of discrimination; act in accordance with ethical principles, possessing knowledge of professional and ethical responsibilities. 2

8. Communicate effectively, both orally and in writing, on technical subjects, considering the diverse characteristics of the target audience (such as education, language, and profession). 4

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 30
Midterm 30
Assignment 40

RECOMENDED or REQUIRED READINGS

Textbook

Signal Processing First, by James H. McClellan, Ronald W. Schafer, Mark A. Yoder, Prentice Hall, 2003

Signals & Systems by Alan V. Oppenheim, Alan S. Willsky, Prentice Hall, 1997