Mar 27, 2023
ET 3051 - Signals, Circuits, and Systems I3 lecture hours 2 lab hours 4 credits
The theory and circuit applications of periodic signals are covered in this course. The power in a circuit with multiple frequencies is investigated initially. This discussion leads to the determination of the rectangular and polar forms of the Fourier series for periodic signals and the analysis of circuits with periodic signal inputs. The spectra of periodic signals are constructed from the Fourier series. Periodic signals are analyzed in circuits, filters and systems. Applications such as signal distortion and harmonic generation are covered. Laboratory experiments will reinforce the concepts presented. (prereq: full admission into the BS-EET program or consent of EET program advisor) (coreq: OR 307S )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Determine the power and effective value of sinusoidal signals in a circuit with multiple AC sources, whether of the same or different frequencies.
- Determine the average and effective values of periodic waveforms.
- Determine and describe the trigonometric, cosine, and sine forms of the Fourier series for periodic signals.
- Determine the response of linear circuits and systems to periodic signal inputs.
- Identify signal distortion when present
- Determine the spectra of periodic signals
Prerequisites by Topic
- DC and AC steady state circuit analysis: series-parallel circuit analysis, complex power, and superposition.
- Transfer functions and Bode plots of first order circuits.
- Differential and integral calculus.
- Calculations and plotting in spreadsheets.
- Circuit simulation software usage.
- Course introduction and orientation (1 class, usually 2 lecture classes of the first week are lost due to the Labor Day holiday)
- Electrical power of multiple sinusoidal signals, average values, and effective values. ( 5 classes)
- Periodic signal representation with the magnitude/phase and the trigonometric Fourier series forms, spectra, and circuit analysis. (5 classes)
- Trigonometric Fourier series coefficients development ( 5 classes)
- Distortion (1 class)
- Exams and homework days, including final exam (12 classes)
- Introduction, PC and software orientation, electronic instruments, safety. (2 sessions)
- MathCAD tutorial. (1 session)
- Complex power, average power, and effective values (DMM, handheld power meter). (1 session)
- Response of first order circuits (digital oscilloscope with FFT module, arbitrary waveform generator). ( 2 sessions)
- Spectra measurements (digital oscilloscope with FFT module, arbitrary waveform generator). Overlap with previous topic. (4 sessions)
- Harmonic distortion (digital oscilloscope with FFT module, arbitrary waveform generator) (1 session)
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