## Signals and Systems ILOs for Unified Engineering (16.01-16.04)

### Professor Steven Hall

Spring 2004

### Intended Learning Outcomes

Students graduating from 16.030/040 will be able to:

**Demonstrate**an understanding of the fundamental properties of linear systems, by**explaining**the properties to others.**Use**linear systems tools, especially transform analysis and convolution, to**analyze**and**predict**the behavior of linear systems**Gain an appreciation for**the importance of linear systems analysis in aerospace systems.

### Measurable Outcomes (assessment method)

Students graduating from 16.030/040 will be able to:

**Explain**the importance of superposition in the analysis of linear systems. (concept test, homework, quiz)**Explain**the role of convolution in the analysis of linear time invariant systems, and use convolution to**determine**the response of linear systems to arbitrary inputs. (concept test, homework, quiz)**List**and**apply**properties of the unilateral and bilateral Laplace transforms. (concept test, homework, quiz)**Use**Laplace transforms to**solve**differential equations, and to**determine**the response of linear systems to known inputs. (homework, quiz)**Demonstrate**an understanding of the relationship between the stability and causality of systems and the region of convergence of their Laplace transforms, by**correctly explaining**the relationship, and using the relationship to**determine**the stability and causality of systems. (concept test, homework, quiz)**Demonstrate**an understanding of the relation among the transfer function, convolution, and the impulse response, by**explaining**the relationship, and using the relationship to**solve**forced response problems. (concept test, homework, quiz)**Explain**the relationship between a signal’s bandwidth and its duration, and use that relationship to**predict and explain**the bandwidth requirements for aerospace applications such as Loran navigation, amplitude modulation, etc. (homework, quiz)**Explain**the fundamentals of modulation, including amplitude modulation, frequency modulation, and sampling (impulse modulation), including the implications of the sampling theorem. (homework, quiz)