ELEC 243
Weekly Objectives
Week 1
-
Sketch the primary components of a measurement system and describe the general function of each component.
-
Distinguish between information and signals, and describe how information may be encoded into and carried by different types of signals.
-
Define, describe, and identify analog and digital signals and information.
Week 2
-
Define the unit step function, the delta impulse function, and the sampling function.
-
Explain the physical meaning of an impulse signal.
-
Describe the fundamental significance of the system impulse response.
-
Combine elemental signal forms (steps, ramps, impulses, etc.) to form more complex signals, and vice versa: decomposition.
-
Define the properties of a linear system, a time-invariant system, and describe their importance.
-
Determine the linearity of a given operation or system function.
-
Use superposition to determine the output of a system to a non-elemental input signal, given the output due to an elemental input.
-
Find the overall response of systems connected in cascade, parallel, or feedback configurations.
Week 3
-
Translate between sinusoids and complex exponential signals; express sinusoids as the real or imaginary part of complex exponentials.
-
Given the frequency spectrum of an input signal and a system transfer function, calculate the spectrum of the system output signal.
-
Design a transfer function to modify a signal spectrum in a specified way, e.g., to remove or pass particular frequency components, to emphasize or suppress frequency bands, or to compensate for the frequency distortions from another part of the system.
Week 4
-
Given signal characteristics, find the minimum sampling rate to enable accurate reconstruction of the analog signal from the samples.
-
Calculate the magnitude of the errors that occur with analog to digital conversion.
Week 5
-
Draw the full model of an operational amplifier (op-amp) and give the general magnitude of typical parameters.
-
Describe 3 characteristics of real op-amps that our model does not represent.
-
Describe the principle of virtual null and the op-amp property that makes it possible.
-
Solve for the input-output characteristics of op-amp circuits containing negative feedback.
-
Design op-amp circuits to perform common functions: inverting or non-inverting amplifiers, summing amplifiers, integrators, voltage followers, etc.
-
Provide a possible explanation for a given non-ideal performance of a real op-amp circuit.
Week 7
-
Describe the models for a diode: physics-based, ideal, piecewise linear, and ideal zener.
-
Use the model for a diode (physics-based, ideal, or piecewise linear) to analyze circuits containing diodes, including rectification, clipping, and zener circuits.
-
Design a zener diode regulated voltage supply.
-
Design basic LED circuits.
Week 9
-
Describe the assumptions behind the impedance approach, and derive the impedance of basic circuit elements.
-
Compare the advantages and disadvantages of working with impedances in the frequency domain versus working in the time domain.
-
Navigate between the time domain and the frequency domain, e.g., given a real signal of time as the input to a circuit containing RLC components and sources, express it in the frequency domain, use impedance and frequency domain analysis to solve for an output, and express that output as a real signal of time.
-
Use impedance analysis for a circuit containing sources and/or RLC components to find an equivalent impedance, or the complex amplitude of currents and voltages in such a circuit.
-
Estimate the frequency dependence of an RLC circuit using high and low frequency limits and other relevant points.
-
Perform the prerequisite learning objectives.
-
Calculate the rms value and the average value of a periodic voltage or current.
-
Explain the physical meaning of rms current or voltage in terms that a high school student could understand.
Week 11
-
Find the time-average power dissipated in circuit elements, and/or supplied by sources, using complex power methods.
-
Determine the maximum output power available from a source and find the required load impedance.
-
Compute Thévinin or Norton equivalent circuits for networks containing linear passive components and sources.
-
Determine the Thévinin or Norton models of complex circuits from given terminal measurements; specify what measurements are necessary or sufficient to determine such a model.
-
Use voltage and current source transformations, and Thévinin or Norton equivalent circuits, to analyze circuits.
Week 12
-
Describe the basic discrete data smoothing operations: simple moving average, weighted moving average, exponential moving average, and median filter.
-
Calculate discrete Fourier transform coefficients given the discrete time series values, and vice versa.