This document provides an overview of Suraj Bhamra's master's thesis project on applying open source EEG to control pulse width modulation waves. It includes biographical information on Bhamra, an agenda for the presentation, background on EEG and brain waves, a discussion of the theory and modeling behind a MEMS EEG sensor design, and plans for the system architecture and application of using brain activity to control a prosthetic hand. Finite element analysis was performed to analyze the von Mises stress on the MEMS sensor under compression and shear forces to ensure it would not tear or deform under pressure.
The slide covers the basic concepts and designs of artificial neural networks. It explains and justifies the use of McCulloh Pitts Model, Adaline network, Perceptron algorithm, Backpropagation algorithm, Hopfield network and Kohonen network; along with its practical applications.
I think this could be useful for those who works in the field of Coputational Intelligence. Give your valuable reviews so that I can progree in my research
The slide covers the basic concepts and designs of artificial neural networks. It explains and justifies the use of McCulloh Pitts Model, Adaline network, Perceptron algorithm, Backpropagation algorithm, Hopfield network and Kohonen network; along with its practical applications.
I think this could be useful for those who works in the field of Coputational Intelligence. Give your valuable reviews so that I can progree in my research
1
The Perceptron and its Learning Rule
Carlo U. Nicola, SGI FH Aargau
With extracts from publications of :
M. Minsky, MIT, Demuth, U. of Colorado,
D.J. C. MacKay, Cambridge University
WBS WS06-07 2
Perceptron
(i) Single layer ANN
(ii) It works with continuous or binary inputs
(iii) It stores pattern pairs (Ak,Ck) where: Ak = (a1
k, …, an
k)
and Ck = (c1
k, …, cn
k) are bipolar valued [-1, +1].
(iv) It applies the perceptron error-correction procedure, which
always converges.
(v) A perceptron is a classifier.
Bias b is sometimes called θ
1
The Perceptron and its Learning Rule
Carlo U. Nicola, SGI FH Aargau
With extracts from publications of :
M. Minsky, MIT, Demuth, U. of Colorado,
D.J. C. MacKay, Cambridge University
WBS WS06-07 2
Perceptron
(i) Single layer ANN
(ii) It works with continuous or binary inputs
(iii) It stores pattern pairs (Ak,Ck) where: Ak = (a1
k, …, an
k)
and Ck = (c1
k, …, cn
k) are bipolar valued [-1, +1].
(iv) It applies the perceptron error-correction procedure, which
always converges.
(v) A perceptron is a classifier.
Bias b is sometimes called θ
Ch1 EE412 Introduction to DSP and .pptssuser3312b5
DSP stands for Digital Signal Processing. It's a branch of engineering that deals with the manipulation of digital signals using algorithms and mathematical techniques. DSP is used in a wide range of applications such as audio and speech processing, image and video processing, communications, radar, sonar, medical imaging, and many more. It's a fundamental technology underlying many modern electronic devices and syst
Algorithm to Generate Wavelet Transform from an Orthogonal TransformCSCJournals
This paper proposes algorithm to generate discrete wavelet transform from any orthogonal transform. The wavelet analysis procedure is to adopt a wavelet prototype function, called an analyzing wave or mother wave. Other wavelets are produced by translation and contraction of the mother wave. By contraction and translation infinite set of functions can be generated. This set of functions must be orthogonal and this condition qualifies a transform to be a wavelet transform. Thus there are only few functions which satisfy this condition of orthogonality. To simplify this situation, this paper proposes a generalized algorithm to generate discrete wavelet transform from any orthogonal transform. For an NxN orthogonal transform matrix T, element of each row of T is repeated N times to generate N Mother waves. Thus rows of original transform matrix become wavelets. As an example we have illustrated the procedure of generating Walsh wavelet called ‘Walshlet’ from Walsh transform. Since data compression is one of the best applications of wavelets, we have implemented image compression using Walsh as well as Walshlet. Our experimental results show that performance of image compression technique using Walshlet is much better than that of standard Walsh transform. More over image reconstructed from Walsh transform has some blocking artifact, which is not present in the image reconstructed from Walshlet. Similarly image compression using DCT and DCT Wavelet has been implemented. Again the results of DCT Wavelet have been proved to perform better than normal DCT
Background: The behavior of small-volume biological systems is often influenced by stochastic effects. When estimating kinetic parameters of such systems, it can easily be infeasible to fit a stochastic model, due to the high computational complexity of the available methods.
Methods: To circumvent the computational complexity of stochastic models, one can use deterministic approximations to the moments of the probability densities of the measured observables. In this project, we will compare parameter estimation using reaction rate equations and linear noise approximation to different orders of system size expansions. For these deterministic schemes, the approximation error will be dependent on the volume of the system. This can result in a volume-dependence of the respective parameter estimates.
Conclusion: We find that the mean squared error in parameter estimates can be several orders of magnitudes lower when using the System Size Expansion to approximate mean and variance of the observables of the system. To obtain an unbiased parameter estimate, it is hence crucial to select the appropriate deterministic moment approximation scheme.
Dynamic stiffness and eigenvalues of nonlocal nano beams - new methods for dynamic analysis of nano-scale structures. This lecture gives a review and proposed new techniques.
Presentation in the Franhoufer IIS about my thesis: A wavelet transform based...Pedro Cerón Colás
Presentation in the Franhoufer IIS about my thesis: A wavelet transform based application for seismic waves. Analysis of the performance. Code made in Matlab.
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
3. +
Personal Bio
Born in Windsor, Canada (don’t
take it against me!)
Owner of Negative and Print
Print Shop in Detroit, MI
Hobbies include lifting weights,
working on cars and
motorcycles
Two Truths, One Lie
I’ve driven an Abrams Tank
I’ve never been to Africa
I once was pulled over doing
160+ mph
3
4. +
Professional Bio
Oakland University BSEE 2011
Met Coach in 2009!
Oakland University MSEE 2013
Oakland University PhD 201X
US Army TACOM Intern (2009-
2011)
US Army TACOM Electrical
Engineer (2011-Present)
Network integration
Radio communications
Prototype Engine Testing
Academic Professional
4
7. +
Problem Statement (cont’d)
Very Little is Still Understood about the Brain
BRAIN (Brain Research through Advanced Innovative
Neurotechnologies) Initiative introduced by White House in April 2013
100 billion neurons and 100 trillion connections in the brain
Find underlying causes (and cures) for Alzheimer’s disease, Parkinson’s
disease, autism, epilepsy, schizophrenia, depression, etc
Open Source is the Way of the Future!
More people experimenting with EEG = more awareness = more
discovery
Current EEG technology is very expensive and heavily restricted
Use commercially available technology to better understand EEG
and it’s scientific benefits
7
8. +
Problem Statement (cont’d)
Electrical impulses generated by nerve firings in the brain can
be measured by electrodes placed on the scalp
The EEG gives us a coarse view of neural activity
EEG activity is very small signal with amplitudes in the μV
(microvolts)
Main frequencies of interest range from 4Hz to 30Hz
Electrical activity picked up by electrodes, fed through signal
processor and displayed
How do EEGs work?
8
10. +
Problem Statement (cont’d)
Use commercial off the shelf (COTS) items to create an open
source EEG
Record brain activity using this open source EEG
Use brain activity to trigger a PWM wave
Use this PWM wave to actuate a servo
Use the servo to actuate a prosthetic hand (flexion and
extension)
My Solution to Current Challenges
10
12. +
Anatomical Introduction
Brain Activity
EEG (Encephalography) data
Brain wave classification
Parsing and grouping of desired
and undesired signals (signal to
noise ratio)
Physical Interface
Physical makeup of skin
Layers of skin and their growth
characteristics
Electrode-skin interface
Renewal of skin and
interference of signal chain
Med School Members Don’t Criticize Me Too Much!
12
13. +
Anatomical Introduction
Three primary layers of skin
Epidermis (outermost) layer
has three sub layers (stratum
germinativum, stratum
granulosum, and stratum
corneum)
Cells originate in deepest
layer of epidermis, the
stratum germiativum
Human Skin Composition
13
14. +
Anatomical Introduction
New skin cells move outward
to the stratum corneum
As they move outward they
lose their nuclear material
Below the epidermis is the
Dermis and Subcutaneous
layer
Human Skin Composition cont’d
14
16. +
Types of Brain Waves
Alpha
Rhythmic in nature
Frequencies ranges from
~8Hz to ~13Hz
Amplitude ranges from 20μV
to 200μV
Occur in an awake but
relaxed state
Prominent in the occipital
and parietal lobes of the
brain
Sensitive to external stimuli
Usually measured with eyes
closed
Visual stimuli causes
replacement with
asynchronous waves of
higher frequencies but lower
amplitudes
16
17. +
Types of Brain Waves
Beta
Amplitude ranges from 5μV to 10μV
Generally associated with intense
mental activity
Relaxed but alert
More intense mental tasks (reading,
math, etc)
Problem solving, mild anxiety
High anxiety, OCD
Attentive to external stimuli (such
as focus)
Strong presence in frontal lobe
Several types of beta brain waves
Beta I (13Hz to 15Hz)
Beta II (16Hz to 18Hz)
Beta III (19Hz to 26Hz)
Beta IV (27Hz to 32Hz)
17
18. +
Types of Brain Waves
Theta and Delta
Frequencies range from 4Hz
to 7Hz
Occur in parietal and
temporal lobe
Prominent in transition to
sleep from alpha relaxation
Also found when waking up
from deep sleep
Known as “stage 1 sleep”
Frequencies smaller than
3.5Hz
“Slowest” waves with
highest amplitude
Commonly found during
sleep
Emitted from cortex
High delta may be result of
head injuries, strokes,
tumors, etc
18
19. +
Traditional Instrumentation of Brain
Non-Invasive Electrodes
Easier to instrument patient
More susceptible to motion
artifacts
Sensitive to about 10mV
Arranged in network on patients
scalp
Time consuming to set up
electrode array
Invasive electrodes
More difficult to instrument
patient
Less susceptible to motion
artifacts
Sensitive to about 100μV
“Needle” inserted directly into
scalp
Requires surgery to install and
remove
19
20. +
Importance of Frequency Domain
The main advantage of frequency domain analysis is being
able to visualize the periodicities of the signal.
This helps understand the physical nature of the signals.
The signals used in this project are time based and being
able to visualize the periods of the functions helps in plotting
the waves in intuitive patterns
20
21. +
Fourier Transform in EEG
The Fourier transform describes a signal x(t) as a linear superposition of sines
and cosines characterized by their frequency f.
Where,
This is also known as the Continuous Fourier Transform (CFT) of the signal x(t)
and can be understood as the inner product of the signal x(t) with a parent
function.
(1)
(2)
21
22. +
Fourier Transform in EEG (cont’d)
This can now be written as
Where the inverse transform is given by (1). Since the mother
functions are orthogonal the Fourier Transform is unique.
For example we can consider an EEG signal consisting of N
discrete values sampled at a time Δt
Where xj is a measurement taken at time tj=to+jΔ
(3)
(4)
22
23. +
Fourier Transform in EEG (cont’d)
The Discrete Fourier Transform (DFT) of this signal is now defined as,
Where k = 0,…,N-1
Its inverse transform can now be written as,
(5)
(6)
23
24. +
Fourier Transform in EEG (cont’d)
Since we are considering real signals only, the following relationship is true
Therefore the discrete frequencies examined are given by (8) while the
resolution is given by (9)
Since the Fourier Transform gives N/2 independent complex coefficiants,
there are N values as in the original signal (nonredundant)
(7)
(8) (9)
24
27. +
MEMS EEG Sensor (New)
Flexible substrate can conform
to patients body contours
Easily removable
Will not cause skin ulceration
Silver layer makes it
transparent for X-rays
Hydrogels use as conductive
medium
Easy install, high resolution
27
28. +
Natural Frequency and Mode Shape
Insertion column displaced by shear force
Releasing shear force causes beam to vibrate and displace from it’s
equilibrium state
This results in a non-harmonic motion
Certain initial displacements cause harmonic vibrations
These initial deflections are mode shapes
Corresponding frequencies are natural frequencies
Dependent on material (Young’s Modulus, density) and dimensions of
cantilever beam
MEMS be happy!
28
29. +
Clamped-Free Cantilever Beam
Equation of Newtonian motion is given by
¶2
u
dt2
+ k
¶4
u
dx4
= f (x,t) = 0 (10)
¶2
u
dt2
+
EI
rA
¶4
u
dx4
= f (x,t) = 0 (11)
29
31. +
Equation Setup
u(x,t) = F(x)G(t)
(15)
(16)
From the boundary conditions on the previous page we get the following equations
Plugging in (16) into the motion equation ( 10 and 11)
(17)
31
33. +
Equation Setup Cont’d
Breaking up equation (10) yields two differential equations
¢¢¢¢F + b4
F = 0
(21)
(22)
Equation (21) has the general solution
G(t) = Acosb2
ct + Bsinb2
ct
While equation (22) has the general solution
F(x) = Acosbx + Bsinbx +Ccoshbx + Dsinhbx
(23)
(24)
33
34. +
Equation Setup Cont’d
By our boundary conditions we see that
u(0,t) = ux (0,t) = 0
uxx (x,t) = uxxxx (x,t) = 0
(25)
Now using (25) and applying our boundary conditions we see
A + C = 0
B + D = 0
-Bsinbx - Acosbx + Dsinhbx + C coshbx = 0
-Bcosbx + Asinbx + Dcoshbx + Csinhbx = 0
(26)
Equation (26) can now be represented in matrix form
34
35. +
Equation Setup Cont’d
0 1 0 1
1 0 1 0
-sinbx -cosbx sinhbx coshbx
-cosbx sinbx coshbx sinhbx
é
ë
ê
ê
ê
ê
ù
û
ú
ú
ú
ú
B
A
D
C
é
ë
ê
ê
ê
ê
ù
û
ú
ú
ú
ú
= 0 (27)
-sinbx - sinhbx -cosbx - coshb
-cosbx - coshb sinbx - sinhb
é
ë
ê
ê
ù
û
ú
ú
(28)
Solving the determinate yields the following frequency equation and frequencies
cosbnx =
1
coshbnx
wn =
bnEI
rA
(29) (30)
35
36. +
Equation Setup Cont’d
The mode shapes can now be given by
Fn = An cosbnx + Bn sinbnx +Cn coshbnx + Dn sinhbnx (31)
Using the boundary condition information that C = -A and D = -B
-Bsinbx - Acosbx - Bsinhbx - Acoshbx
-B(sinbx + sinhbx) = A(cosbx + coshbx)
(32)
B = -A
cosbx + coshbx
sinbx + sinhbx
æ
èç
ö
ø÷
It is now obvious that
(33)
36
37. +
Equation Setup Cont’d
The final mode shape equation can now be written as
Fn = -An -
cosbnl + coshbnl
sinbnl + sinhbnl
æ
èç
ö
ø÷ sinbnx + cosbnx +
cosbnl + coshbnl
sinbnl + sinhbnl
æ
èç
ö
ø÷ sinhbnx - coshbnx
é
ë
ê
ù
û
ú (34)
The first 6 mode shapes were calculated to see the natural harmonics and resonant
frequencies in the platinum covered silicon insertion column!
37
38. +
Mode Shapes and
Natural Frequencies
Mode Shape Frequencies In HZ
Mode Shape 1: 3470884.361
Mode Shape 2: 21751660.994
Mode Shape 3: 60905280.627
Mode Shape 4: 119350041.902
Mode Shape 5: 197294170.950
Mode Shape 6: 294723328.582
Mode shapes determine silicon insertion columns will
not tear off Polyimide substrate!
42. +
Initial MEMS EEG Sensor Design
Polyimide substrate for flexibility
Single crystal silicon columns coated with platinum for good
conductivity
Crystalline silicon has predictable etch and growth properties
and is dimensionally stable to 1400 Celsius
Silicon has favorable Youngs Modulus for strength
Conductive material to transmit current (many options
explored)
Gold strands placed in spikes to collect surface currents
42
43. +
Model Geometry
500μm x 500μm x 12.7μm
substrate layer
Thickness of substrate
determined on commercially
available polyimide from
DuPont
12.7μm provided best
combination of flexibility and
strength
43
44. +
Model Geometry Cont’d
4x4 array of insertion columns
inserted onto substrate
Pierce epidermis to pick up
neural activity
Radius of 10.3μm
Height of 200μm
Height subject to change due to
z-axis compression
(installation)
Gold pads linked with gold fiber
44
46. +
Model Mesh
Free tetrahedral, brick, prism,
and pyramid-type mesh
explored
Free tetrahedral is most
commonly used
Smaller mesh yields more
accurate results but require
more computing resources
46
47. +
Von Mises Shear Stress
Analysis
Shear stress tested (translational)
Ensure sensor does not tear or deform under pressure
1e-2 N/m2 stress applied perpendicular to column
Damped using Rayleigh damping (linear combination of mass
and stiffness)
3% critical damping
47
50. +
Compression Von Mises Stress
Electrode pressed into
epidermis layer of skin
Force is in the z-axis
This force results in the
compression of insertion
columns
Necessary to compute to test
compressional stability of
Silicon
50
54. +
Electrode and Headset
Currently using NeuroSky ™ (TM) dry TGAM (ThinkGear ASIC
Module) based sensor
Prorotype headset uses Gen I TGAM1 technology
MindWave headset uses Gen II TGAM2 technology
TGAT chip used in both headsets
NeuroSky ™ (TM) eSense
A/D
Biomedical instrumentation amplifier
Internal noise filter
After understanding NeuroSky ™ (TM) data structure and
protocol we can design our own MEMS sensor
54
55. +
Headset Function
NeuroSky ™ (TM) chip trasmits information as raw bytes
Arduino microcontroller parses information from raw byte stream into ASCII
string CSV
NeuroSky ™ (TM) bytes are in proprietary format and cannot be changed
(hence motivation for designing our own sensor)
Serial monitor breaks down data into the following format
Signal strength (unsigned one byte integer from 0 to 200)
NeuroSky ™ (TM) “eSense”
Attention and Relaxation from 1 to 100 (40-60 neutral)
RAW Wave Values (16 Bit)
Signed 16 bit integer ranging from -32768 to 32767
Two bytes (first high order bit of the twos compliment value, second is low order bit)
Relative EEG strengths (Delta, Theta, low-Alpha, high-Alpha, low-Beta, high-Beta, low-
Gamma, mid-Gamma.
Data Breakdown
55
59. +
Headset Function
Open source plotting tool
Processing used to visualize
data
Data is read through the COM
port (indexed through the
Processing sketch) and mapped
to a real time plotter
Datalogging functionality to be
implemented in a further
software release
Graphing Software
59
61. +
Headset Function
Script BrainPWM running on
Arduino
Responsible for mapping
NeuroSky ™ (TM) “eSense” to
a PWM value at a certain
threshold
Pin 13 used on Arduino at 9600
baud rate
Initialized state of pin is LOW
State transitions to HIGH when
eSense reaches indexed valie
PWM Control
61
63. +
Present Issues
Headset is highly susceptible to motion artifacts
Connection strength is heavily dependant on external
conditions (humidity, temperature, conditions of skin)
60Hz frequency filtering (Notch) not adequate and headset
experiences noise in certain environments with overhead
power lines
No robust electrical isolation
Headset Reliability
63
64. +
Present Issues
NeuroSky ™ (TM) “black-box” values for attention and
relaxation
We do not know the algorithms used for generation of these values
Further simulation of MEMS sensor and studying gen I prototype will
allow us to come up with our own data scheme
Reverse engineer NeuroSky ™ using MEMS technology
Data Values and Parsing
64
66. +
Future Work
Concentrate on one specific part of architecture to study for
research
Many options (MEMS sensor, filtering schemes, instrumentation
amplifiers, data structures, etc)
Thus narrowing down area of interest
Phase out prototype headset use and use research grade
NeuroSky ™ (TM) developer headset
Further simulation of MEMS sensor
Fabrication
EMI/EMC
Material science
Continue working with Med School
Area of Interest
66
69. +
Conclusions
Proof of concept demonstrated in operational environment
Data structure parsing and coding complete
Real time data visualizer adapted successfully
Headset integration complete
Prototype headset and servo to be delivered to OU Med School
for further testing (March/April 2016)
69
71. +
References
Arduino Brain Library Errors
http://forum.arduino.cc/index.php?topic=90605.0
ECE690 BioFeedback (co-Author Abdrahamane Traore)
NeuroSky ™ EEG Brainwave Data
https://github.com/kitschpatrol/Brain
Programmer Error Arduino
http://forum.arduino.cc/index.php?topic=28686.0
MindFlex EEG Setup
http://service.mattel.com/instruction_sheets/P2639-0920G1.pdf
Quantitative Electroencephalography
http://www.sciencedirect.com/science/article/pii/S0987705308000233
Quantitative analysis of EEG signals Time frequency methods and Chaos theory
https://vis.caltech.edu/~rodri/papers/thesis.pdf
EEG With Arduino
https://sites.google.com/site/chipstein/home-page/eeg-with-an-arduino
71
72. +
References (cont’d)
Time Frequency Analysis of EEG Waveforms
http://www.timely-cost.eu/sites/default/files/ppts/2ndTrSc/Niko%20Busch%20-
%20Time%20frequency%20analysis%20of%20EEG%20data.pdf
FFT of EEG Data
http://jama.jamanetwork.com/article.aspx?articleid=391249
Time-Frequency Decomposition
http://sccn.ucsd.edu/eeglab/workshop06/handout TP_Jung_Workshop_Time_Frequency_Analysis.pdf
Cassification of Electroencephalogram (EEG) Signal Based on Fourier Transform and Neural Network
http://ethesis.nitrkl.ac.in/4749/1/109EE0640.pdf
Frequency Analysis of Healthy & Epileptic Seizure in EEG using Fast Fourier Transform
http://ijergs.org/files/documents/FREQUENCY-82.pdf
Using Novel MEMS EEG Sensors in Detecting Drowsiness Application
https://www.cs.tau.ac.il/~nin/Courses/Seminar14a/Drowsiness.pdf
ECE790 (co-author Darena and Mark)
72
ALPHA BRAINWAVES are slower than beta and can represent a relaxed awareness in the mind.
This rhythm is seen when the brain sets itself to rest or reflect. Alpha rates are increased by closing the eyes and relaxing, yet are offset by opening one's eyes or any concentrated effort.
Alpha is usually best detected in the frontal regions of the head, on each side of the brain. Alpha is the major rhythm seen in normal relaxed adults and is typically regarded as the common relaxation mode beyond the age of 13.
Alpha brainwaves move towards deep relaxation, imagination and intuitive thinking, as they accompany:
a relaxed mind after complex thinking into a mode of relaxation meditation and setting the mind's attention to itself, away from outside distractions
recovery from stressful thoughts and emotional despair
BETA BRAINWAVES are characteristic of an engaged mind, which is highly alert and well focused.
Beta activity is quick-connect, fast activity and tends to dominate the normal waking state of consciousness when-attention is directed towards the outside world.
Typically detected in the frontal lobes (where decisions are managed), Beta is usually seen on both sides of the brain in geometric distribution. It may be absent or reduced in areas of brain damage. It is generally regarded as a normal rhythm and tends to be the dominant rhythm in those who are alert, anxious or have their eyes open.
Beta brainwaves are engaged when the brain is aroused or processing activities, such as:
involved conversations with others that command your full attention complex problem solving and assessment of situations
public speaking, lectures or teaching information
THETA BRAINWAVES can indicate drowsiness, daydreaming, the first stage of sleep or 'indirect' imagination/thinking.
Theta activity is not often seen in awake adults (unless engaged in a meditative practice), but is perfectly normal in alert children up to 13 years and in most sleep.
A Theta state can be regarded as a gateway to hypnagogic states that lay between being awake and falling asleep. Often Theta entrainment can promote vivid flashes of mental imagery as one becomes receptive to brain/mind information beyond one’s typical conscious awareness. Theta has also been identified as a part of learning, memory and reductions in stress.
Theta brainwaves are often related to:
accessing subconscious information that eludes the conscious mind hynagogic states like 'daydreaming'
reductions in body rhythms, such as: heart rate and breathing.
DELTA BRAINWAVES can reveal deep sleep or slow-wave 'background' thinking.
Much like bass sound, Delta tends to be the highest in amplitude and the slowest waves. Delta is often associated with deep sleep. Certain frequencies, in the delta range, have been shown to trigger the body's healing and growth mechanisms.
Interestingly, Delta is the dominant rhythm in infants up to one year, as well as stages 3 and 4 of dreamless sleep.
Delta brainwaves are often related to and indicate:
the lowest brain frequencies, possibly indicating subconscious thoughts and information deep and refreshing sleep that allows the body and brain to rest and repair.
extremely deep meditation and hyper-relaxed mind states
For N=2 this is called the Nyquist frequency
In the first frames of the animation, a function f is resolved into Fourier series: a linear combination of sines and cosines (in blue). The component frequencies of these sines and cosines spread across the frequency spectrum, are represented as peaks in the frequency domain (actually Dirac delta functions, shown in the last frames of the animation). The frequency domain representation of the function, , is the collection of these peaks at the frequencies that appear in this resolution of the function.
Pic: f(x,t) – initial force u(x,t) – initial displacement
Also called the “wave equation”
Where E = YM rho = density I = area moment of inertia A = cross sectional area
(3) Fixed at both ends
(4) Free has no shear
(5) Simply supported has no moment
Since power 4 we need 4 boundary conditions
Since motion equaton has power 4 we need 4 boundary conditions (Clamped and Free)
6). By seperation of variables F = displacement term G = velocity term
7). Dot = time derivative dash = spatial derivative
9) Where c^2 = EI/rho*A
Rho is radius of curvature
E is elastic modulus
I is moment of intertia
Omega is frew of vibration
19. For a nonzero solution the determinate must be zero r
Signal strength (unsigned one byte integer from 0 to 200)
NeuroSky ™ (TM) “eSense”
Attention and Relaxation from 1 to 100 (40-60 neutral)
RAW Wave Values (16 Bit)
Signed 16 bit integer ranging from -32768 to 32767
Two bytes (first high order bit of the twos compliment value, second is low order bit)
Relative EEG strengths (Delta, Theta, low-Alpha, high-Alpha, low-Beta, high-Beta, low-Gamma, mid-Gamma.