BME130 BIOMEDICAL SIGNALS AND SYSTEMS (Required for BME and BMEP) Catalog Data: BME130 Biomedical Signals and Systems (Credit Units: 4) Analysis of analog and digital biomedical signals; Fourier Serie
1. [25 pts.] Consider the following simple dynamic system:
y(t)
= y(t)
(1)
The solution to this system is given by: y(t) = Cet , where C is a constant. This can be easily verified
by differentiating
12
Laplace Transforms
3 November 2014
Poles & Stability
From the previous example,
4
7
1
Y (s) =
+
( s + 2) ( s + 1) ( s + 3)
y(t ) = 7 e t 4 e 2 t e 3t
y(t) exponentially decays to zero, so the syste
08
Discrete-Time LTI,
Impulse Response
20 October 2014
Outline
Discrete-Time LTI systems
Linearity example
Time-invariant example
Total Responses in Difference Equations
Impulse Responses
Discrete-tim
05
Impulse
13 October 2014
Outline
Impulse as Input
Unit impulse function
Constructing unit impulse function from steps
Breaking down arbitrary inputs into impulses
Examples
13 October 2014
2
Impulse
11
Laplace Transforms
31 October 2014
Properties of Laplace Transform
Linearity
L cfw_c 1 f 1 (t ) + c 2 f 2 (t ) = c 1F1 (s ) + c 2 F2 ( s ) for constants c 1 & c 2
Time shift
L cfw_ f (t T ) = e sT
10
Laplace Transforms
24 October 2014
Midterm Exam 1
Date: October 29, 2014, Wednesday, 4:00pm to 4:50pm
Closed book, closed note, no calculators, cell phone silenced and
put away
Bring pencils and er
Lecture 02
Emotional Face Processing
6 October 2014
Jie Zheng
What makes us different
from other animals?
6 October 2014
2
Welcome to ECoG World
What makes us different from other animals?
6 October 2
Problem 1
8
9
Problem 2
10
Problem 3
Problem 4
Problem 5
Problem 6
3
4
clear all
close all
%hw8_p3.m
f1 = 10;
f2 = 100;
Npt = 1001;
t = linspace(0,1,Npt);
x = sin(2*pi*f1*t) + 0.2*sin(2*pi*f2*t);
figu
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2.
(a) B pts.] Using basic properties of the convolution operator (linearity distributivity,
associativity and commutativity) simplify the system in Fig. 1, i.e. orprem them as
a single box with singl
BME 130 Final Exam
Dec. L4,2407
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[Warm-up, 20 pts.] Answer the follovring true/false qumtions.
explanation.
(a) A system that has a single input
a^nd
If
ap
1. [Warm-up, 30 pts.] Answer the following true/false questions. If applicable, give a one-line
explanation.
(a) Most physiological systems are linear.
F
(b) To solve a second order ODE we need 2 init
BME 130 Mid-term Exam
Oct. 20, 2008
Name (print):
N E lt/
*Dl
(Last)
C
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(First)
This is a closed books, closed notes exam. To get a full credit you need to show all of your work.
If you are u
BME 130 Final Exam
Dec. 12, 2008
Name (print):
(Last)
(First)
This is a closed books, closed notes exam. To get a full credit you need to show all of your
work. If you are unable to solve a problem, b
BME130, Homework Book
Zoran Nenadic, D.Sc.
Department of Biomedical Engineering
University of California, Irvine, CA 92697
October 30, 2017
This document changes frequently. Please print only the part
BME 130 Mid-term Exam
Oct. 27, 2005
This is a closed books, closed notes exam. For full credit you need to show all of your work. If you are
unable to solve a problem, but show a good reasoning, you m
BME 130 Mid-term Exam Preparation
Oct. 25, 2005
This is a closed books, closed notes exam. For full credit you need to show all of your work. If you are
unable to solve a problem, but show a good reas
Problem 5 [Use common sense] On Monday morning a student starts preparing for a BME130 exam. The
student has not been attending lectures, discussion sessions, office hours, etc., therefore the
student
Problem 3
The unit step response: () = (1 )(). Note: zero initial conditions.
(a) Calculate the response to () = () + ( 2). First, we write:
]
[; [0,] ] = [; [0,] + [0,]
Where () ( 2) is the delayed v
BME 130 Mid-term Exam
Oct. 20, 2008
Name (print):
(Last)
(First)
This is a closed books, closed notes exam. To get a full credit you need to show all of your work.
If you are unable to solve a problem
Extra Problems for Midterm 2 Review
Part 1: General Concept
Discrete-Time System:
1. How do you construct a discrete-time signal from a continuous-time signal?
2. What are two ways to describe the slo
BME 130
Biomedical Signals and Systems
Fall 2014, Course Code 14040
Homework Set #3
Due:
Nov 5, 2014, Wed, 4:50PM, in class
Late:
Before Nov 6, 2014, Thu, 4:50PM, to TA
70% of final grade
After Nov 6,
General Overview Questions
1. What is a periodic signal?
A periodic signal is a signal that repeats itself after a certain period, T! . That is to say,
= ( + ! ).
General Overview Questions
1. What is a periodic signal?
2. Whats a characteristic equation?
3. What is an LTI system and what are its properties?
4. What are two components to an LTI systems response