EG-150 Signals and Systems#
Follow along at cpjobling.github.io/eg-150-textbook
About this Course#
EG-150 Signals and Systems introduces the mathematical description of signals in the continuous-time and frequency domains. Basic properties of deterministic signals and linear time-invariant systems are defined. The concept of frequency and frequency domain description of signals is introduced using Laplace transform and the Fourier series representation of periodic continuous-time signals. The modelling and simulation of systems using transfer functions and block diagrams is introduced.
Course Content#
Signals in time domain: analogue and digital signals, periodic and aperiodic signals, even and odd symmetry signals.
Waveforms: sines, cosines, exponentials, steps, rectangular and squares, impulses and ramps.
Time domain operations on waveforms: time scaling, time reversal and time shifting.
Calculation of waveform properties: energy, power, mean value, R.M.S. value and crest factor.
Introduction to systems: basic properties; linear invariant systems; convolution and system response; linear coefficient differential equations.
Using the Laplace transform for the representation of signals and systems in the complex frequency domain.
The application of the Laplace transforms in electrical circuit analysis.
Modelling systems with block diagrams and transfer functions and the concept of feedback.
Periodic signals representation in the frequency domain: the trigonometric and exponential Fourier series.
The use of MATLAB for signals and systems analysis.