Basics of Analog Signal Processing
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spContent=Introduction to concepts from circuit and system analysis: linear systems, review of elementary circuit analysis, op-amps, Transient analysis, differential equation models of linear circuits and systems, Laplace transform.
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课程概述

The course goals are to provide a solid foundation in analog signal processing that will serve as a strong base for further study in digital signal processing, communications, remote sensing, control, and electronics. Topics include circuit analysis, continuous- time linear system theory, Laplace and Fourier transforms. This course is taught as a service course for students outside electrical and computer engineering.

A. At the time of Exam 1 (after 14 lectures), students should be able to:

  • Calculate node voltages and branch currents in linear circuits containing resistors, independent and dependent sources, and operational amplifiers. 

  • Design simple op amp circuits. 

  • Sketch voltage and current waveforms (given one, sketch the other) for capacitors and inductors. 

  • Design simple op amp integrators and differentiators. 

  • Solve first- and second-order differential equations with constant inputs. 

  • Manipulate complex numbers and demonstrate an understanding of their meaning. 

B. At the time of Exam 2 (after 28 lectures), students should be able to do all of the items under A., plus:

  • Understand phasor representation of co-sinusoidal signals and use the method for solving linear differential equations with co-sinusoid inputs. 

  • Apply the phasor concept to solve circuits for the sinusoidal steady-state response.

  • Understand the distinction between instantaneous and average power and use the concept of maximum power transfer. 

  • Derive and sketch the frequency response of a linear circuit or system. 

  • Calculate the response of dissipative linear systems to multi-frequency inputs 

  • Calculate the Fourier series of a periodic signal.

  • Apply the Fourier series concept to calculate the output of a system due to a periodic input. 



授课目标

The course goals are to provide a solid foundation in analog signal processing that will serve as a strong base for further study in digital signal processing, communications, remote sensing, control, and electronics. 

课程大纲
参考资料

1 E. Kudeki and D. C. Munson, Analog Signals and Systems, Prentice Hall, 2008. 

2 Oppenheim, Alan, and Alan Willsky. Signals and Systems. 2nd ed. Prentice Hall, 1996. 

3 J. David Irwin, and R. Mark Nelms. Basic Engineering Circuit Analysis. 10th ed. Wiley, 2011.

4 Charles K. Alexander & Sadiku, Fundamentals of electric circuits, 5th ed., McGraw-Hill, 2013.