Signals & Systems

Lecture 1 - Introduction

Lecturer Information

• Name: Alp ERTÜRK

• E-mail: alp.erturk@kocaeli.edu.tr

• Office Hours: To be determined

(In addition, you can ask any course-related questions via e-mail)

• Teaching Assistant: Ersin ÖZÜAĞ

Course Resources

• James H. McClellan, Ronald W. Schafer, Mark A. Yoder, ‘‘Signal Processing First’’, Pearson Education International

• Alan V. Oppenheim, Alan S. Willsky, S. Hamid Wahab, ‘‘Signals & Systems’’, Prentice Hall Signal Processing Series

• Simon Haykin, Barry Van Veen, ‘‘Signals and Systems’’, John Wiley & Sons

Learning Outcomes• 1) Analyze sinusoidal signals using their properties

• 2) Perform phasor calculations on complex exponential signals

• 3) Formulate the transform from sinusoidal signals to spectrum representation

• 4) Utilize basic continuous-time signals

• 5) Analyze linear time-invariant systems

• 6) Describe the frequency response of linear time-invariant systems

• 7) Evaluate the analysis of signals using the Fourier Transform

• 8) Define the transform between continuous-time and discrete-time signals

• 9) Apply Laplace Transform to analyze linear time-invariant systems

Grading

• Midterm (40 %)

• Final Exam (60 %)

• Note: Lecture attendance is not required, but is highly advised

Signals & Systems

• Signal: Pattern of variations of a physical quantity that carries information and that can be manipulated, stored or transmitted by physical processes

• System: Something that can manipulate, store or transmit signals

Signals & Systems

• Signal: A function of one or more variables that conveys information on the nature of a physical phenomenon

• System: An entity that manipulates one or more signals to accomplish a function, thereby yielding new signals

Signals & Systems

• Signal: Function of one or more independent variable, contains information about the behavior or nature of some phenomenon

• System: Responds to a signal particular signal by producing other signals or some desired behavior

Signals & Systems

• Voltages and currents as a function of time in an electrical circuit => Signals

• Circuit => System

Signals & Systems

• The pressure on the accelerator pedal of an automobile => Signal

• Automobile => System

• Increasing the speed of the vehicle => System response

Signals & Systems

• Light from different sources and light reflected from objects => Signals

• Camera => System

• Photograph => System response

Signals & Systems

• Control inputs => Signals

• Robot arm => System

• Arm movement => System response

Signals & Systems

• Mass and Spring

Signals & Systems Example

• Tanks

Signals & Systems Example

• Cell Phone System

Signals & Systems Example

• Cell Phone System: Modularity

Signals & Systems Example

Used in the fields of :• Acoustics

• Aeronautics

• Biomedical Engineering

• Chemical Process Control

• Circuit Design

• Communications

• Control

• Electromagnetics

• Energy

• Military

• Image Processing

• Remote Sensing

• ...

• Given input x, what is the output y of system z?

Signals & Systems Problems

• Design the system z, if for input x the desired output is y

Signals & Systems Problems

• If a signal is x, what is the underlying function or information f?

Signals & Systems Problems

• Modify system z, based on input signals x and output signals y

Signals & Systems Problems

Questions?

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