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Signals &
Systems

Explore time and frequency domain analysis of various types of signals and systems with a focus on LTI systems.

Necessary Prior Knowledge and Skills​

  • Differential equations

    • Familiarity with definition and solution of differential equations up to second order

  • Integration

    • Integration by parts

    • Integrals involving polynomials and exponentials

  • Differentiation​

    • Chain, product, and quotient rules​

    • Derivatives of polynomials, exponentials, sinusoids

Desirable Prior Knowledge and Skills​

  • Familiarity with MATLAB

Desired Course Outcomes
Students will be able to:

  • Represent discrete-time and continuous-time signals in terms of step functions, delta functions, sequences and phasors

  • Understand the principal of superposition (convolution) and its role in linear, time-invariant systems

  • Characterize and analyze steady-state system behavior via the real frequency domain using Fourier transforms

  • Characterize and analyze transient system behavior via the complex s-domain using Laplace transforms

  • Apply the above methodology to the analysis of amplitude modulation communication systems, filtering and signal processing applications, and to feedback control systems

Course Deliverables

  • Homework assignments: mixture written and coding

  • Two in-class exams

  • One final exam

Recommendations For Success

  • Ask questions early and often

  • Do practice problems

  • Focus on understanding, not memorization

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