ECE633 Signals and Systems I, Fall 2009 Homework 1 Solutions From: Linear Systems and Signals, 2nd ed. B. P. Lathi, Oxford University Press, 2005. B.1 Given a complex number w = x + jy , the complex c
Recitation 3: ZIR
Eileen Hwuang
[email protected]
9/16/2016
Office hours: Next Wednesday, 9/21 from 5-6pm in Hayden Lobby
Deriving System Response
Differential system structure
Q(D) and P(D) are
BE301, Exam #1, 10/2/14, Part B [22 points) Name (1 point)
Problem 1: Prove or explain. Yes/No answers are not acceptable. YOU can refer to basic
properties of functions or operators, but need to be s
BE301, Fall 2016
Bioengineering Signals & Systems
Classification of Systems
Part 2, Systems
Developing Systems Concepts and Tools
Input
x(t)
Output
y(t)
System
Classification of systems
Linear and no
BE301
Example to show that the derivative operator is not a stable system in the Bounded Input Bounded
Output Sense (BIBO). We will prove that by taking the derivative of the step function
which is cl
A general 2nd order Example.
Real system with real nonnegative ODE coefficients
() + () + () = ()
The characteristic polynomial is: + +
The characteristic equation is: + + =
The characteristic root
BE301, Part 4
Bioengineering Signals & Systems
Zero State Response
Convolution
Fall, 2016
Zero State Response
For linear time invariant systems
Total response =
zero-input response + zero-state respon
BE301, Fall 2016
Bioengineering Signals & Systems
Part 3, Linear Differential Systems
System Equivalence
Zero Input Response (ZIR)
Systems, where do we go from here?
http:/biomed.brown.edu/
Types of s
BE 324
Problem Set 8
December 1, 2016
1. During PCR, double chains of DNA are dissociated by heating. It is known that at 310
K, double stranded DNA is only 3 % dissociated. Calculate
(a) the equilibr
BE 324
Problem Set 7 Solutions
1. Physiological saline is water with NaCl dissolved at a concentration of 0.15 M.
a) What is the boiling point of physiological saline?
b) What is the osmotic pressure
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BE 324
Final
DecemberplS, 2015
Name
Open book, open notes
53 was
My signature below indicates I have complied with the University of Pennsylvanias code of
academic integrity in completing this examina
Name 35 J 3" N5
BE 324
Final Examination
December 18, 2013
Open book, open notes
My signature below indicates I have complied with the University of Pennsylvanias code of academic
integrity in complet
BB 324
Problem Set 9
Thursday, December 8, 2016 in class
1. Dill and Bromberg, Chapter 17, Problem 2.
a) in-lemle 'leC. e
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b) 1.
: ~D (1:03'12 . z -
7(03 W .7: (2(0\
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BB 324
Midterm 1
October 6, 2015
Open book, open notes
My signature below indicates I have complied with the University of Pennsylvania's code of
academic integrity in completing this examina
BE301
Fall 2016
1
Is this system
A Linear?
2
y (t)=2 x (t)
3
4
y (t)=2 x 2 (t1)
y (t)=2 x (t +1)
5
y (t)=cos(x (t )
y (t )=2 t [ x ( t1 ) ]
Yes.
Consider:
Yes.
Consider:
No.
Consider:
Yes.
Consider:
N
LinearSystems,Example
Showthatthesystemdescribedbytheequationislinear.
Let x1(t)
Letx
(t) y1(t)
(t) andx
and x2(t)
(t) y2(t),then
(t) then
and
Multiply1st equationbyk1,and2nd equationbyk2,andaddingthe
ECE633 Signals and Systems I, Fall 2009 Homework 3 Solutions From: Linear Systems and Signals, 2nd ed. B. P. Lathi, Oxford University Press, 2005. 1.6-1 Write the input-output relationship for an idea
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