Lecture 1: (1/11) Course Outline and introduction. Sinusoids: properties and motivation for using in circuit analysis.
Lecture 2: (1/13) Review complex numbers, complex sinusoids, phasors, steady state sinusoidal analysis, impedence.
Lecture 3: (1/15) steady state sinusoidal analysis for circuits, phasors and frequency domain, review KVL, KCL, Thevenin and Norton equivalents, node, and mesh analysis, examples.
Lecture 4: (1/20) review steady state sinusoidal analysis for circuits, transfer function (magnitude and phase), examples (RC lowpass filter, BP filter), matlab commands, frequency scaling, superposition.
Lecture 5: (1/22) instantaneous power, average power, sinusoidal steady state power, calculation of average power for different impedences, maximum power transfer, derivation and calculation. HW 1 due
Lecture 6: (1/25) Operational amplifier (op amp), motivation for using, diagram, terminal characteristics, linear and saturation regions, constraints on idealized model, inverting amplifier.
Lecture 7: (1/27) Matlab discussion performing sums using for command and arrays, op amp, summing amplifier, noninverting amp, integrator, sinusoidal steady state analysis with op amps.
Lecture 8: (1/29) op amp, differentiator, double integrator, low pass filter, difference amplifier, node equation analysis, more realistic model for op amp, analysis of inverting amp.
Lecture 9: (2/1) inverting amplifier, biquad lowpass filter, review solving simultaneous linear equations, matlab commands. HW 2 due
Lecture 10: (2/3) Laplace transform motivation, complex exponentials, linearity, time invariance, transfer function, Laplace transform pair.
Lecture 11: (2/5) Laplace Transform pair, using Laplace transform to solve circuit problems, step response RC lowpass filter, exponential response.
Lecture 12: (2/8) Review of response to RC lowpass filter, partial fraction expansion, poles, repeated poles. HW 3 due
Lecture 13: (2/10) Second-order RLC lowpass filter, transfer function, pole location, frequency response, frequency scaling, step response, overdamped solution, critically damped solution.
Lecture 14: (2/12) Second-order RLC lowpass filter, complex poles, underdamped solution, exponential response, general response to inputs, pole/zero location and computing magnitude of frequency response.
Lecture 15: (2/17) Pole/zero location and computing magnitude and phase of frequency response, relationship of poles and zeros to step response. HW 4 due
Lecture 16: (2/19) Review pole/zero relationship to frequency response and step response, Laplace transform pair derivation, impulse function and properties, impulse response.
Lecture 17: (2/22) Review impulse function and impulse response, Operational Laplace transform, computation of Laplace transform.
Review Session: (2/23)
Lecture 18: (2/24) Laplace transform properties, differentiation property, convolution property, handling initial conditions using Laplace transform. HW 5 due
Exam 1: (2/24)
Lecture 19: (2/25) Total response, initial conditions and inputs using Laplace transforms, adding sources to handle initial conditions, natural response, first order examples.
Lecture 20: (3/1) Second order example with initial conditions and inputs, Initial and Final Value Theorem.
Lecture 21: (3/3) State space equations, motivation and setup, circuit examples, solving state space equations using Laplace Transform.
Lecture 22: (3/5) State space equations, transforming state space equations, natural frequencies, natural response, zero state response, total response, transfer function, second order examples.
Lecture 23: (3/8) State space equations, setting up equations, finding A,b,c,d, examples. HW 6 due
Lecture 24: (3/10) State space equations, setting up equations, examples, matlab commands. Discussion of A,b,c,d arrays.
Lecture 25: (3/12) Impulse response, impulse function, sifting integral property, linearity and time invariance, derivation of convolution property for ZSR. convolution examples.
Lecture 26: (3/15) Convolution examples, RC lowpass filter, step response, exponential response, properties.
Lecture 27: (3/17) Convolution properties, additive, scaling, time shift, associative, convolution examples, RC circuit, pulse response, matlab command. HW 7 due
Lecture 28: (3/19) Review properties of convolution, impulse and step response, convolution example, convolving two pulses.
Lecture 29: (3/29 Review of convolution, examples, introduction to filter design and Bode plots.
Lecture 30: (3/31) Filter design introduction and Bode plots. Determiniation of magnitude and phase from pole/zero locations. HW 8 due on 4/1
Lecture 31: (4/5) Filter design introduction. Sallen-Key lowpass filter, Biquad filter design (determining resistors and capacitors) for a given second order transfer function. impedence and frequency scaling.
Lecture 32: (4/7) Review session, solving circuits using Laplace Transform, state space equations, convolultion HW 9
Exam 2: (4/8)
Lecture 32: (4/9) Review of Sallen-Key lowpass filter, relating parameters to pole location, Sallen-Key highpass filter.
Lecture 33: (4/12) Filter Design stage, frequency selective filters, constant magnitude and linear phase, lowpass Butterworth filter design, Butterworth filter properties, transfer function, matlab commands.
Lecture 34: (4/14) Filter Design stage, review lowpass Butterworth filters, Chebyshev filters, matlab commands.
Lecture 35: (4/16) Filter Design stage, review lowpass filter design, highpass filter design, review Sallen-Key highpass filter, matlab commands.
Lecture 36: (4/19) Filter Design stage, bandpass filters, Butterworth and Chebyshev bandpass filters, Friend's biquad circuit, matlab commands.
Lecture 37: (4/21) Review filter design and realization, voltage dividers for attenuation and amplification, matlab commands, bandstop transfer function, introduction Fourier analysis.
Lecture 38: (4/23) Fourier transform (FT): definition, existence, examples, properties. HW 10
Lecture 39: (4/26,28) Fourier transform: properties, examples, solving circuit problems using Fourier Transforms.
Lecture 40: (4/28,29) Fourier transform examples and properties.
Lecture 41: (4/30) Derivation of Fourier transform pair, examples. HW 11
Lecture 42: (5/3) Fourier transform examples and properties review, impulse train.
Lecture 43: (5/5) Fourier transform of impulse train, periodic signals, introduction to Fourier series, HW 12