Lecture 12: Response ClassificationA Unification
Intro. The definitions
Zero-input Response: due only to the initial conditions.
Zero-state Response: due only to the input signal.
Complete Response: sum of the zero-input and zero-state responses.
Lecture 27. Active Sallen & Key Butterworth Filter Design
1. Sallen and Key LP Circuit
2. Sallen and Key Circuit Transfer Function
H SK ( s ) = out
Vin ( s )
s+ R R CC
R1C1 R2C1 R2C2
1 2 1 2
where K = Vout Va = 1
WORKSHEETCOUPLED INDUCTORS AND TRANSFORMER MODELS
1. True-False. The wire across the top of the coupled coils in the circuit below makes
no difference to any of the usual calculations. _
2. The value of the mutual inductance for the coupled coils in the c
Quiz 20 ECE-202
Name: (3 pts) _
November 10, 2014
Construct only part of the op amp observable form realization of
H (s) =
Vout (s) 4s 2 5s + 6
s + 2s + 3
(a) (3 pts) Using the political operator D =
, write down the differenti
LECTURE 20: Butterworh & Chebeyshev
Part 1: Series and Parallel RLC CircuitsAgain
1. RLC Admittance/Impedance Transfer Functions
EXAMPLE 1: Series RLC H (s) .
I out (s)
H (s) =
= Yin (s) =
R + Ls +
s2 + s +
ECE 202: Ideal Transformers
March 29, 2004
Establish relationships between the
primary and secondary sides of an ideal
Define the turns ratio of an ideal
Work an example problem using circuit
b1 Worksheet h-parameters: Consider
with hij indicating the two port h-parameters.
Suppose that (i) the current through the admittance, YL,
hzz; (ii) the current gain 12/11
equals the current through
= 150; an
R. A. DeCarlo
STATE SPACE REALIZATIONS
1. The biquadratic transfer function is simply a transfer function having a second
order numerator and a second order denominator:
b s + b1s + b2
LECTURE 19: Graphical Convolution
Part 1: INTRO
1. The Notion of Flip and Shift
2. RECALL: y(t) = h(t) * f (t) = f (t) * h(t) means
h(t ) f ( ) d = h( ) f (t ) d
Lecture 19 Sp 15
R. A. DeCarlo
3. What is the meaning of the convolut
LECTURE 18: THE JOY OF CONVOLUTION
Part 1: INTRO
1. Just because no one understands you, doesnt mean youre an artist.
Rich Hebda. I am reminded of this quote every time I talk about convolution.
CONVOLUTED: folded in curved or tortuous windings.
Lecture 9: Transfer Function Ideas
ContinuedAND the Initial and Final Value
1. Hey Professor Ray, how does loop analysis work
in the s-world?
ANSWER: Example 1. Computation of a circuit
transfer function using loop analysis.
Lecture 7: Equivalent s-domain circuits for
initialized inductors and capacitorsthe
beginnings of general circuit analysis
1. OK what?
Answer: The derivative formula yields two
equivalent circuits; the integral formula also yields
Lecture 10: That Pesky Modified Nodal and
Modified Loop Analysis
1. Hey Professor Ray, cant we just use supernovas,
or supernodes, or something?
ANSWER: (Inspired by Bread and Jam
for Francis by Russell Hoban)
Nodal is what makes SPICE run,
Lecture 4 : Transform Properties and Interpretations
Continued to the Next (Higher) Level
1. Example 1. Applicability of the mult-by-t
(i) Consider above two graphs of f (t) and g(t) = tf (t)
with K = 1.
(ii) By inspection, f (t)
Lecture 6: Impedance (frequency dependent
resistance in the s-world), Admittance (frequency
dependent conductance in the s-world), and
1. Professor Ray, whats an impedance?
Answers: As I have mentioned when we deve
Lecture 3 : Inverse Laplace TransformBack
to the Time World
1. Recall L K (t) = K ; thus L1 K = K (t) .
2. The Strategy for Reverse Laplace Travel:
Decompose (in a non-life-sciences way) a rational
function (Laplace transform)
Lecture 2 : Laplace TransformExpanded
Defs & Examples
1. Recall Definitioin of 1-sided Laplace Transform
F(s) = L [ f (t)] !
f (t)est dt
(i) the integral converts a function of time, f (t) ,
into a new function, F(s) . dependent on a NEW
Lecture 5: Another Property, Laplace Transform
Solution of Integro-Differential Equations
and Two More Interpretations
1. What is an integro-differential equation? (Does
anybody really care? borrowed from the musical