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.
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
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
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 +
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 17: IMPEDANCE AND FREQUENCY SCALING
Part 1: Impedance/Magnitude Scaling
1. A Problem Example 1: Consider the op amp circuit below which is to
realize a transfer function H (s) =
which is a normalized LP Butterworth
LECTURE 17: IMPEDANCE AND FREQUENCY SCALING-Worksheet
Part 1: Impedance Scaling
1. Basics of Impedance Scaling
(a) Impedance scaling or magnitude scaling by a factor K m :
Z new (s) = K m Zold (s) and Ynew (s) =
K m old
(b) Let us visit the little
Lecture 12: H(s)Poles-Zeros & BIBO Stability
(a) What are poles and zeros? Answer: HS math and calculusreview.
(b) What are nice inputs? Answer: nice inputs are bounded inputs;
if you excite a circuit with a nice bounded input, like a step
Lecture 15: Sinusoidal Steady State (SSS) Analysis
or Phasors without the Phasor
1. Definition. A signal f (t) is periodic with period T > 0 if f (t) = f (t + T ) ;
the smallest such T > 0 is the fundamental period.
2. Memories from the corners of ECE-201
Lectures 11 and 12. Boost Converter Circuit (will not be covered on
exams): Switch closes at t = 0, opens at t = 1, closes at t = 2, and the
process repeats. The following circuit represents a CHARGER for a
SUPERCAPACITOR used on a bus in Shanghai for exa
Lecture 12: Switched Capacitor NetworksWorksheet Approach
(a) What are switched capacitor circuits/networks? Resistorless and
inductorlessonly capacitors, switches, sources, and op amps.
(b) Can they be all that the other circuits can be?