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| Principles of Neuroimaging A, Fall, 2011 - Class Schedule and Syllabus
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| =THIS IS A DOCUMENT IN PREPARATION AS OF 9/30/13=
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|
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| ==='''Neuroimaging journal Club (''required for NITP certificate'')'''===
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| [http://www.ccn.ucla.edu/wiki/index.php/Neuroimaging%2B_Journal_Club Web Site]
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|
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| [https://docs.google.com/document/d/14KM5Fx--SR4k7aIydlqlVXplHOa83Xk_chctU5tsHUA/edit Sign up]
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|
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| == This schedule ''will'' change!==
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|
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| :'''[[Principles_of_Neuroimaging_-_2012-2013 | Back to main course page for Principles of Neuroimaging]]'''
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|
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| :'''[[Principles_of_Neuroimaging_B_-_2013 | M284B Principles of Neuroimaging B]]'''
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|
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| =Lecture Videos=
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|
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| =Week 1: Orientation to Neuroimaging, Neurons, Brains; Linear Systems=
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|
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| ==''Monday 10/1/12'' ==
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| ===- Orientation & Neurons. ''Speaker'': [http://www.brainmapping.org/MarkCohen Mark Cohen]===
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|
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| In this first class we will review the basics of neurophysiology with an eye towards what signals of brain function might be visible to the neuroimager. We will discuss information coding, energetics, size and time scales.
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| [[Image:Neurons.jpg|right]]
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| ''Required Readings'' - Please complete these readings prior to class.
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| :*[http://www.ccn.ucla.edu/wiki/images/8/81/The_Active_Brain.pdf The Active Brain]
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| :*[[media:NeuronFunction+AnatomyNITP(2012).pdf| Neuron function slides shown in class]]
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| :*[http://ccn.ucla.edu/wiki/images/5/5a/CAVEAT_LECTOR.pdf Caveat Lector - the misuse of neuroimaging]
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| ''Suggested Further Reading''
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| :*[http://www.brainmapping.org/NITP/PNA/Readings/Protected/Kosslyn1999.pdf "If Neuroimaging is the Answer, What is the Question?" Kosslyn, 1999]
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| :*[http://da.biostr.washington.edu:80/cgi-bin/DA/PageMaster?atlas:NeuroSyllabus+ffpathIndex/Splash^Page^Syllabus+2 Neuroanatomy Programmed Learning]
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| :*[http://www.amazon.com/Fundamental-Neuroscience-Second-Larry-Squire/dp/0126603030 Squire, Fundamentals of Neuroscience]
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| :*[http://www.amazon.com/Principles-Neural-Science-Eric-Kandel/dp/0838577016 Kandel, et al., "Principles of Neural Science"]
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| :This paper, by Malhi, is a nice orientation in methods of neuroimaging. *[http://www.ccn.ucla.edu/wiki/images/f/f2/Malhi2007.pdf Making sense of neuroimaging in psychiatry]
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| :*[http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1359308/pdf/jphysiol01232-0142.pdf Replacement of the axoplasm of giant nerve fibres with artificial solutions]
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|
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| ==''Wednesday 10/3/12''==
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| === Transforms and the Convolution Theorem. ''Speaker'': [http://www.brainmapping.org/MarkCohen Mark Cohen]===
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|
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| Why the emphasis on Linear Systems? Because they are actually ''easy'' (as compared to non-linear systems, which are not.) As we go through this course, we will see many ways in which linear systems theory is applied to:
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| :Modeling of Neural Systems
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| :Extraction of Signal from Noise
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| :Design of Circuits
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| :Image Enhancement
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| :Understanding of Image artifacts, and others.
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|
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| Linear systems analysis is one of the great technologies of the 20th and 21st century. It is now the basis for virtually all electronics design, and its extension into the discrete (digital) domain is the basis for most of modern signal processing.
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|
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| In our specific case, we will use these few basic principles of linear systems to understand both the instruments we use and the neuroimaging signals we collect. When you have mastered this material, you should be in a much better position to model the systems that you study in order to develop an approach to studying them.
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|
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| Here is [http://www.brainmapping.org/NITP/PNA/Readings/ImaginaryNumbers.pdf A primer I wrote on imaginary numbers] that might be a helpful review.
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|
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| There is a nice [http://en.wikibooks.org/wiki/Calculus Wikibook on Calculus].
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|
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| ''Required Readings''
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| :*[http://www.elsevier.com/wps/find/bookdescription.cws_home/710026/description#description van Drongelen:] Chapter 1
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| :*[[media:Mathematical_tools_-_2012.pdf | Mathematical Tools]] - updated 10/3/12 before class
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|
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| ''Suggested Further Reading''
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| :'''Introduction to matlab'''
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|
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| ''Slides shown in class''
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| :[[media:LinearityM285.pdf|Linearity and the Fourier Transform]] - updated 10/4/12 after class, A good walk through for new users to Matlab
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|
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| Please see [http://www.brainmapping.org/NITP/PNA/html/Linearity.html MATLAB linearity demo]
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|
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| If you are the type who sees beauty in mathematics, the Euler identity may be one of the most beautiful pieces of math in the world.
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|
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| [[media:PNIA2012PS1.pdf|'''Problem Set 1. Due by email 10/11.''']] Please remember that the preferred way for us to receive problem sets is ''via email'' to [mailto:mscohen@ucla.edu Mark] and to [mailto:cdrodriguez@ucla.edu Cameron] and to [mailto:mahsa.mm65@gmail.com Mahsa].
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|
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| =Week 2: Circuits I & II=
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|
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| ==''Monday 10/8/12''==
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|
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| === - Circuits I. [http://www.brainmapping.org/MarkCohen Mark Cohen]===
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|
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| Why circuits?
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| :(Virtually) Every device you use in your research is electronic. You access your primary data only indirectly
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| :The device you ''really'' want in your lab doesn't exist. You very well may have to make it.
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| :There are electronic analogs to most of the linear systems that you have so far studied (and ''vice versa'' - the tools you now understand can be used to analyze and predict circuit behavior).
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|
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| :If you have not had any of this background, you might want to have a look at this handout, [[Media:Electricity.pdf|Electrical Circuits]], in advance. There are near infinite numbers of resources on the web that cover similar material (near enough to infinite that by the time you read all of them, there would be a whole new set.) I have recently come across a link to [http://www.allaboutcircuits.com/ Online Books: All About Circuits] ''IF'' you want practical hands-on knowledge about this material, my all-time favorite text is [http://www.google.com/products/catalog?hl=en&client=safari&rls=en-us&ei=uVSPSfaxE5nMsAPf-tmSCQ&resnum=1&q=art+of+electronics&um=1&ie=UTF-8&cid=8820839049329255765#ps-sellers "Horowitz and Hill: ''The Art of Electronics.''"] The latest edition, however, is dated 1989 and a new third edition is promised. I have therefore stopped short of recommending a purchase unless your need to make circuits is immediate. In this book, you will find an excellent education on the fundamental principles of electrical circuits and an incredible compendium of practical data, such as how to assemble circuit boards, how to make measurements, etc...)
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|
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| Readings:
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| :*[[Media: Circuits.pdf|Circuits 1 & 2]]
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| :*[http://www.elsevier.com/wps/find/bookdescription.cws_home/710026/description#description van Drongelen:] Chapter 2 and 10
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| :*[https://www.circuitlab.com/ Circuit Lab ] A Free Circuit Web Base Simulator
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| **You may or may not find this comprehensible without chapters 5 through 9.
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|
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| We will discuss:
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| :*Passive Circuit Elements: Resistors, Capacitors, Inductors
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| :*Gain
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| :*Transformers
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| :*Rectifiers
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| :*Active Elements
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| ::- ''Amplifiers''
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| ::- ''Transistors''
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| ::- ''Op Amps''
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| :*Solutions with Matrices
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| ''Suggested Further Reading''
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| :*[http://video.google.com/videoplay?docid=5645396659673218353&q=Physics+for+Future+Presidents+Electricity&total=5&start=0&num=10&so=0&type=search&plindex=0#0h20m30s Video intro lecture on charge, current and voltage].
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| :*[[media:Electricity_Basics.pdf | Well organized text on electrical concepts by Tony R. Kuphaldt]]
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| :*[http://en.wikibooks.org/wiki/Circuit_Theory Circuit Theory - Wikibook]
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|
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| ===- Recap of Last Wednesdays Talk===
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|
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| '''Suggested, Optional Readings from [http://www.dspguide.com DSPguide.com]:'''
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| :*[http://www.dspguide.com/CH5.PDF Linear Systems]
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| :*[http://www.dspguide.com/CH6.PDF Convolution]
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| :*[http://www.dspguide.com/CH8.PDF Discrete Fourier Transform (DFT)]
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| :''Note: These chapters are light on math and try to focus on a conceptual understanding''
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|
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| Time and Frequency / Spectral Filters
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|
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| ----
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| Practice using the Fourier transform:
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| :[http://www.brainmapping.org/NITP/PNA/ConvFThtml/ConvolutionWorksheet.pdf Fourier transform and Convolution Worksheet]. [http://www.brainmapping.org/NITP/PNA/ConvFThtml/ConvFT.html (''Solutions'').]
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| :[http://www.brainmapping.org/NITP/PNA/ConvFThtml/Something.wav Sound file for worksheet above.]
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|
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| ==''Wednesday 10/10/12''==
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|
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| === - Circuits II. [http://www.brainmapping.org/MarkCohen Mark Cohen]===
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|
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| :*[[Media: Circuits.pdf|Circuits 1 & 2]]
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| Other
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| :*[http://www.youtube.com/watch?feature=player_embedded&v=7uHfjpU3OH0#! Getting Started with Arduino]
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|
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| =Week 3 Neuroanatomy=
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|
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| ==''Monday 10/15/12'' - Class Canceled==
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|
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|
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| Class Canceled
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|
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| ==''Wednesday 10/17/12'' - N.B. MSC will be at the Society for Neuroscience==
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|
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| ===- The Organization of the Human Brain. ''Speaker'': [http://ccn.ucla.edu/bmcweb/bmc_bios/SusanBookheimer/ Susan Bookheimer]===
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|
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| We will discuss the general organization of the human brain, and the regional specialization of cortical areas. The emphasis will be on understanding principles of organization:
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| *Phylogenetic Layering
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| *Functional Specialization
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| *Principles Divisions of the Brain
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| *Brain Systems
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|
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| ''Required Readings''
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| :*[http://da.biostr.washington.edu:80/cgi-bin/DA/PageMaster?atlas:NeuroSyllabus+ffpathIndex/Splash^Page^Syllabus+2 Neuroanatomy Programmed Learning]
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| :*[[media:Cognitive_science_and_neuro_2012.pdf | Slides shown in Class UPDATED 2012/10/17]]
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| ''Suggested Further Reading''
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|
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| :*[[media:PNIA_2012_PS1_Soln.pdf | Solution to Problem Set 1]]
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|
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| =Week 4: Circuits III & Optics=
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| ==''Monday 10/22/12''==
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|
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| === - Circuits II. [http://www.brainmapping.org/MarkCohen Mark Cohen]===
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|
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| :*[[Media: Circuits.pdf|Circuits 1 & 2]]
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|
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| ==''Wednesday 10/24/12''==
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| ===- Optics I. ''Speaker'': [mailto:zdeis@seas.ucla.edu Zachary Taylor]===
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|
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| [[Image:Reflection.jpg|right]]
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| The overall goal of this lecture is to establish that:
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| ''- Physical constants have tangible meanings''
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| ''- Plane waves form a physically unrealizable but extremely good approximation to real systems''
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| ''- Boundaries bend light''
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| ''- Physical constants, plane wave mechanics, and boundaries can be used to describe the operation of a lens''
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| ''- The PSF gives a good indication of the overall performance of an imaging system''
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| ''- All of these concepts have analogues in other areas of engineering (ie circuits, mechanical vibrations, etc.)''''
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|
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| '''Outline:'''
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| :* Constitutive parameters (ε, μ, η, n, etc.)
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| :* Plane wave basics
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| :* Plane waves at boundaries
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| :* Lenses
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| :* Advanced imaging properties of lenses
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| :* Point spread function.
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|
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| ''Required Readings''
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| Zach has very kindly agreed to post his [http://www.brainmapping.org/NITP/PNA/Readings/OpticsTaylor3-10-10.pdf Optics lecture notes].
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| ''Suggested Further Reading''
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|
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| =Week 5: Optics II & Finding Data in the Noise=
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|
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| =='Monday 10/29/12''==
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| ===- Optics II. ''Speaker'': [mailto:zdeis@seas.ucla.edu Zachary Taylor]===
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|
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| :*[http://www.brainmapping.org/NITP/PNA/Readings/OpticsTaylor3-10-10.pdf Optics lecture notes].
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|
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| ==''Wednesday 10/31/12''==
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| ===- Noise. [http://www.brainmapping.org/MarkCohen Mark Cohen]===
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|
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| :*[http://www.brainmapping.org/NITP/PNA/Readings/Noise.pdf Noise Slides]
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|
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| It is what you ''don't'' want - usually - but things change in quantized systems
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| :Additive noise
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| :White Noise
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| :Boltzmann noise
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| :Colored Noise
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| :Gaussian Noise
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| :Coherent noise
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| :Sampling Errors
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| :Aliasing
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| :Quantization noise
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| :Spectral filtering
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|
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| Noise comes in all shapes and colors. It is present in every measurement we make, from an EEG voltage to an estimate of the effects of dopamine on forebrain signal. Our best weapons are an understanding of the statistical properties of noise, the sources of noise and the ways to control it. Noise in the discrete digital domain is special, as it is both ''created'' by digitization and amplified by sampling.
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|
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| Readings:
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| :*[http://www.elsevier.com/wps/find/bookdescription.cws_home/710026/description#description van Drongelen:] Chapters 2 through 4
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|
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| =Week8: Statistics for Imaging=
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| ===- Statistical Fundamentals. ''Speaker'': [http://www.npistat.com/about.asp Catherine Sugar]===
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|
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| We will consider the general problems of statistical inference, with a concentration on developing an intuitive understanding of statistical concepts.
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| [[Image:MeasureForMeasure.jpg|right]]
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|
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| :*[[media: CohenClassIntroStats10_14_11.pdf | Slides used in class (set 1)]]
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|
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| ''Review of'':
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| :*Descriptive Statistics: mean, mode, variance, standard deviation
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| :*Statistical Inference. The Binomial and Normal Distribution
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| :*Basic Tests: t-test, linear correlation
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| :*Modeling and non-linear relations
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| :*Bayes rule
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|
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| Suggested reading
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| :*[http://www.statsoft.com/textbook/stbasic.html Statsoft online text (''free'')]
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| :*[http://www.amazon.com/Cartoon-Guide-Statistics-Larry-Gonick/dp/0062731025 The Cartoon Guide to Statistics - Gonick $17.95 new]
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| :The latter teaches stats at what I feel to be the right level - developing intuitions about the kinds of questions that can be answered using stats and about the statistical tests and measures
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|
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| :'''Problem Set 5 - Statistics in matlab'''
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| ::[[media: Problem_Set_1.doc|Problem set using stats and MATLAB]]
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| ::[[media: Problem_Set_1B.doc|More practice with stats and MATLAB]]
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|
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| ===- Statistics for Imaging I. ''Speaker'': [http://www.npistat.com/about.asp Catherine Sugar]===
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|
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| #Outline
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| [[image:BVTradeoff.jpg|right]]
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| ''Required Readings''
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| :*[[media: Mumford_stat_modeling.pdf | Statistical Modeling and Inference (pdf)]]
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| :*[[media: CohenClassSlides10_19_11post.pdf | Slides used in class (set 2)]]
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|
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| :*The General Linear Model
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| *Linear Algebra applied to Statistical Solutions
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| :*Analysis of Variance
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|
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| ''Suggested Further Reading''
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|
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| =Week 5: Optics / Linear Systems - reprieve=
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| The prototypical imaging means: Direct visualization. These lectures will cover the principles of light transmission, refraction, reflection and dispersion and will develop a quantitative approach to the analysis of optical systems. We will cover the theory of lenses, imperfections in focus, such as chromatic aberration, and a model of optical devices that builds on our understanding of convolution.
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| ==''Monday 10/29/12'' - N.B. MSC will be away==
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| === - Statistics for Imaging II. ''Speaker'': [http://www.npistat.com/about.asp Catherine Sugar]===
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| *Fixed and Random Effects
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| *Repeated measures
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| :*Bonferroni and Other Corrections
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| *Non-Parametric Methods
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| *Autocorrelation
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| *Unknown Distributions
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|
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| ''Required Readings''
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| :*[[media: CohenClassSlides10_20_10.pdf | Slides used in class (set 3)]]
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|
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| ''Suggested Further Reading''
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|
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|
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| ==''Monday 10/8/12==
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| ===- Fourier Transform Properties. ''Speaker'': [http://www.brainmapping.org/MarkCohen Mark Cohen]===
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|
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| [[Image:xkcd_fourier.jpg|right]]
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| *Example transform derivations
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| *The Convolution theorem
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| *Oddness (and Even-ness)
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| *The Fourier Shift Theorem
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| Please see [http://www.brainmapping.org/NITP/PNA/html/ShowConvolutions.html MATLAB demo of Fourier transforms and convolution]
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|
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| Optional Readings:
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| :*[http://www.elsevier.com/wps/find/bookdescription.cws_home/710026/description#description van Drongelen:] Chapters 5 through 9
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| **Note: This reading may be heavy going. I will not be going into nearly this much detail in class, but your time on this will be very well spent. We will be revisiting this material later in the course in week 5.
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|
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| '''Suggested, Optional Readings from [http://www.dspguide.com DSPguide.com]:'''
| |
| :*[http://www.dspguide.com/CH5.PDF Linear Systems]
| |
| :*[http://www.dspguide.com/CH6.PDF Convolution]
| |
| :*[http://www.dspguide.com/CH8.PDF Discrete Fourier Transform (DFT)]
| |
| :''Note: These chapters are light on math and try to focus on a conceptual understanding''
| |
|
| |
| Time and Frequency / Spectral Filters
| |
|
| |
| ----
| |
| Practice using the Fourier transform:
| |
| :[http://www.brainmapping.org/NITP/PNA/ConvFThtml/ConvolutionWorksheet.pdf Fourier transform and Convolution Worksheet]. [http://www.brainmapping.org/NITP/PNA/ConvFThtml/ConvFT.html (''Solutions'').]
| |
| :[http://www.brainmapping.org/NITP/PNA/ConvFThtml/Something.wav Sound file for worksheet above.]
| |
|
| |
| ==''Monday 11/5/12''==
| |
| === - Circuits I. [http://www.brainmapping.org/MarkCohen Mark Cohen]===
| |
|
| |
| Why circuits?
| |
| :(Virtually) Every device you use in your research is electronic. You access your primary data only indirectly
| |
| :The device you ''really'' want in your lab doesn't exist. You very well may have to make it.
| |
| :There are electronic analogs to most of the linear systems that you have so far studied (and ''vice versa'' - the tools you now understand can be used to analyze and predict circuit behavior).
| |
|
| |
| :If you have not had any of this background, you might want to have a look at this handout, [[Media:Electricity.pdf|Electrical Circuits]], in advance. There are near infinite numbers of resources on the web that cover similar material (near enough to infinite that by the time you read all of them, there would be a whole new set.) I have recently come across a link to [http://www.allaboutcircuits.com/ Online Books: All About Circuits] ''IF'' you want practical hands-on knowledge about this material, my all-time favorite text is [http://www.google.com/products/catalog?hl=en&client=safari&rls=en-us&ei=uVSPSfaxE5nMsAPf-tmSCQ&resnum=1&q=art+of+electronics&um=1&ie=UTF-8&cid=8820839049329255765#ps-sellers "Horowitz and Hill: ''The Art of Electronics.''"] The latest edition, however, is dated 1989 and a new third edition is promised. I have therefore stopped short of recommending a purchase unless your need to make circuits is immediate. In this book, you will find an excellent education on the fundamental principles of electrical circuits and an incredible compendium of practical data, such as how to assemble circuit boards, how to make measurements, etc...)
| |
|
| |
| Readings:
| |
| :*[[Media: Circuits.pdf|Circuits 1 & 2]]
| |
| :*[http://www.brainmapping.org/NITP/PNA/Readings/Circuits.pdf Slides shown in class (''revised 10:30pm 1/28/2010'')]
| |
| :*[http://www.elsevier.com/wps/find/bookdescription.cws_home/710026/description#description van Drongelen:] Chapter 2 and 10
| |
| **You may or may not find this comprehensible without chapters 5 through 9.
| |
|
| |
| We will discuss:
| |
| :*Passive Circuit Elements: Resistors, Capacitors, Inductors
| |
| :*Gain
| |
| :*Transformers
| |
| :*Rectifiers
| |
| :*Active Elements
| |
| ::- ''Amplifiers''
| |
| ::- ''Transistors''
| |
| ::- ''Op Amps''
| |
| :*Solutions with Matrices
| |
| ''Suggested Further Reading''
| |
| :*[http://video.google.com/videoplay?docid=5645396659673218353&q=Physics+for+Future+Presidents+Electricity&total=5&start=0&num=10&so=0&type=search&plindex=0#0h20m30s Video intro lecture on charge, current and voltage].
| |
| :*[[media:Electricity_Basics.pdf | Well organized text on electrical concepts by Tony R. Kuphaldt]]
| |
| :*[http://en.wikibooks.org/wiki/Circuit_Theory Circuit Theory - Wikibook]
| |
|
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| =Week 6: Optical Neuroimaging=
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| == MIDTERM POSTED ==
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|
| |
| :Click [http://www.brainmapping.org/NITP/tests/PNIA2010Midterm.pdf | here for the Midterm. Due in class Wed. 11/16]
| |
|
| |
| ===- Optical Applications. ''Speaker'': tbd===
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|
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|
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| ''Required Readings''
| |
|
| |
| ''Suggested Further Reading''
| |
|
| |
| ==''Wednesday 11/7/12'' ==
| |
| === - Circuits II. [http://www.brainmapping.org/MarkCohen Mark Cohen]===
| |
|
| |
| #Outline
| |
| ''Required Readings''
| |
| :*[http://ccn.ucla.edu/wiki/images/d/d3/NeuroimagingCellularLevel_KMcEvoy_2010.pdf Lecture Slides]
| |
|
| |
| =Week 7: Optical Intrinsic Imaging, Beginning Circuits=
| |
| ==''Monday 11/12/12'' - Wide field Optical imaging. ''Speaker'': [http://www.uclahealth.org/body.cfm?xyzpdqabc=0&id=479&action=detail&ref=95328 Nader Pouratian]==
| |
|
| |
|
| |
| ''Required Readings''
| |
|
| |
| ''Suggested Further Reading''
| |
|
| |
|
| |
| ==''Wednesday 11/14/12'' - N.B. MSC will be away==
| |
|
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| TBD
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|
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| ==''Monday 11/19/12'' - Veteran's Day==
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|
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|
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| =Week 8: Electricity and Electronics. Human Electrophysiology=
| |
| ==''Wednesday 11/21/12'' - Happy Thanksgiving, NO CLASS==
| |
| ===- Electricity and Electronics. ''Speaker'': [http://www.brainmapping.org/MarkCohen Mark Cohen]===
| |
|
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| [[Image:Opamp.jpg|right]]
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| *Laplace transform analysis
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| *Op Amp Circuits
| |
| *Active Filters
| |
| *Noise Control
| |
|
| |
| ''Required Readings''
| |
|
| |
| ''Suggested Further Reading''
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| Please note that I have the components we used for the class demos available for you to play with at your leisure.
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|
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| ==''Monday 11/26/12''==
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| ===- Human Electrophysiology ''Speakers'': [http://greenlab.npih.ucla.edu/ROSTER.html Agatha Lenartowicz], [http://dgsom.healthsciences.ucla.edu/institution/personnel?personnel_id=9140 John Stern]===
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|
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| ''Evoked Responses'' - Guest Lecturer: [http://greenlab.npih.ucla.edu/ROSTER.html Jonathan Wynn]
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| *A look at real EEG data
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| *Preprocessing:
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| **filtering
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| **artifact detection/removal
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| *averaging
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| *single events
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| *interpretation
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|
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| ''Clinical EEG'' - Guest Lecturer: [http://dgsom.healthsciences.ucla.edu/institution/personnel?personnel_id=9140 John Stern]
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| *Normal and Abnormal EEG
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| *EEG as a marker for brain state
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| **sleep staging
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| **alpha and relaxation
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| *Neurofeedback???
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|
| |
| =Week 9: Practical Electronic Circuits=
| |
| This week we will design, build and test a practical device for recording of human electrical potentials: The electromyogram, or EMG. This device must manage the many challenges of interfacing with small biological signals: Sensitivity, Gain, Noise, Linearity, Filtering. The recording we (''hopefully'') will make will demonstrate issues of linearity and neural coding.
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|
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| ==''Wednesday 11/28/12''==
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| ===- Design of an EMG Preamp. ''Speaker'': [http://www.brainmapping.org/MarkCohen Mark Cohen]===
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|
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| #Outline
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|
| |
| ''Required Readings''
| |
|
| |
| ''Suggested Further Reading''
| |
|
| |
| :'''Problem Set on circuits''' - Due Monday 11/30
| |
| ::[[media: Circuits_Problem_Set.pdf|Circuits problem set]]
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|
| |
| ==''Monday 12/3''==
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|
| |
| ==''Wednesday 12/5/12''==
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|
| |
| ===''Monday 12/10/12''==
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| ===- '''Final distributed electronically'''===
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|
| |
|
| |
| ==- Building and Using Electronic Devices: ''EMG''. ''Speaker'': [http://www.brainmapping.org/MarkCohen Mark Cohen]===
| |
|
| |
| #Outline
| |
|
| |
| ''Required Readings''
| |
|
| |
| ''Suggested Further Reading''
| |
|
| |
|
| |
| =Week 10: Filters=
| |
| ===''Monday 12/2/12''==
| |
| ===- Circuits, cont'd. ''Speaker'': [http://www.brainmapping.org/MarkCohen Mark Cohen]===
| |
|
| |
|
| |
| ==''Wednesday 12/3/12''==
| |
| ===- Autocorrelation, Filters and Color/Course review. ''Speaker'': [http://www.brainmapping.org/MarkCohen Mark Cohen]===
| |
|
| |
|
| |
| ''Required Readings''
| |
| Most of what we will look at today is in chapter 7 & 8 of Van Drongelen.
| |
|
| |
| ''Suggested Further Reading''
| |