Less than a century ago heart disease was an extremely rare disease. However, today it is the cause of death of more people in the world than all other deadly diseases taken together. The most encompassing researches and studies on heart health have indicated that lack of happiness and gratification is by far the biggest risk factor resulting in heart problems. Since happiness is amongst the principal expressions of love, only those medicines that are love-based can truly and completely heal the heart and protect one from disease and ageing. If fear is the motivating factor that compels someone to go for a particular treatment or initiate major changes in life style or diet the chances of disease prevention or recovery are minimized. The current approaches for achieving heart’s health, free from any life threatening condition, are primarily symptom-orientated and do not deal with the underlying causes.
Cited from [http://www.lifepositive.com/body/body-holistic/heart/heart.asp]
Sep 17, 2010
Aug 20, 2010
Aug 15, 2010
Introduction of a paper
[Background and the focus domain]
[Literature review and evaluation]
[In this article, what you are proposing]
[Paper structure]
The domain should be introduced in a reverse triangle way. That is, from bigger domain to smaller one, and finally point you are working on.
This section discusses the results and conclusions of previously published studies, to help explain why the current study is of scientific interest[cited from http://classweb.gmu.edu/biologyresources/writingguide/Introduction.htm]
Aug 5, 2010
Jul 27, 2010
Parameter Estimation in System Identification
1. System Identification = Model structure selection or define + Model parameter estimation
2. Parameter estimation is a mapping: Z----> sigma*
3. Essence of Model is its prediction ability.
4. Two criteria:
Scalar norm or function of errors
Data are not related to Predictive error.
Jul 26, 2010
pem and lsqcurvefit
they are really sensitive to initial condition and parameter values.
this really haunting on me several days.
Jul 21, 2010
Something Help Kalman
Hinfinity Filter is a minmax filter, which minimise worsts estimation. Meanwhile, Kalman minimise average estimation error.
Kalman Smoother is useful, when you want to estimate the state trajectory after obtaining the whole signal serials.
Steady State Kalman filter have constant K and P.
Jul 13, 2010
State Space Realization of IIR
cited from [https://ccrma.stanford.edu/~jos/fp/State_Space_Realization.html]
IIR filters have an extensively used matrix representation called state space form (or ``state space realizations''). They are especially convenient for representing filters with multiple inputs andmultiple outputs (MIMO filters). An order
digital filter with
inputs and
outputs can be written in state-space form as follows:
where
May 9, 2010
aij
I saw "Introduction to linear dynamical systems" on YouTube, It is much better than what my teacher taught me, that is a little bothered me.
matrix is about linear algebra.
y=Ax
1) y is measurement, x is something we do not know.
2) y is output, x is input.
3) x is signal, y is transformation output.
aij is is weight on xi to produce yj, ith row concerns with ith output, jth column concerns with jth input.
1) aij = 0, then yj does not depend on xi
2) some aij is bigger in i row, y is more depend on xi
3) some aij is bigger in j column, xi more affect yj
4) lower triangular are zeros, yi only depends on x1....xi
5) diagnal, yi only depends on xi.
6) sparsity means relationship between x and y is not so complex.
May 4, 2010
System Identification
yeah, i am here, jumped too fast!
some commands of matlab:
lsqnonlin--------non-linear least square optimization
lsqcurvefit------use lsqnonlin to fit a curve
pem------------prediction error model
idgrey----------grey box model
idnlgrey--------grey box for non linear model.
ss --------------state space model
sim------------model simulation
bode-----------bode graph
step------------step response
impulse---------impulse response
c2d-------------convert continuous model to discrete model
system identification method:
state space
poles and zeros
frequency method i.e., bode graph
PID control
optimization method:
newton
gauss-newton
steepest gradient
levenberg marquardt
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