Thursday, July 30, 2009

Why Is My Period Brown Mucus

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Monday, July 20, 2009

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Impulse response For

or characterize a linear system can be applied to some type of input test signals and observing its output. The most common test signals are the unit impulse, unit step and sinusoidal signals. The system's response to a test signal is a property description or mathematical model thereof. The characterization used in systems analysis is that when the input is a Dirac Delta unit impulse applied at time t = τ anyone. Excitation by a unit impulse is equivalent to applying the system input an infinite number of frequencies with equal amplitude, and the output of the system will reply to each and every one of the infinite present in the input frequency. In this case the output is called "impulse response", "impulse response" or "IR" system "and is represented by h (t, τ). Therefore, in a linear system characterized by transformation of the impulse response is from (2.1)





An RLC circuit RLC circuit is one which has as components a resistor, a capacitor and an inductor connected in series in a time equal to zero, the capacitor has a maximum load (Qmax). After a time equal to zero, the total energy of the system is given by the equation presented in this section oscillations in LC circuits U = [Q2 / (2C)] + (LI2 / 2) The oscillations in LC circuits had mentioned that the oscillations were not damped since the total energy remained constant. RLC circuits, since there is resistance, there are damped oscillations because there is a part of the energy converted into heat in the resistance. The total energy change depending on the weather system is given by the energy dissipation in a resistor: dU / dt = - 2R Then we derive the total energy equation with respect to time and replaced the one given: LQ "+ RQ '+ (Q / C) = 0 You can see that the RCL circuit is a damped oscillatory behavior: m (d2x/dt2) + b (dx / dt) + kx = 0 If we take a small resistance, the equation would change : Q = Q max e - (Rt/2L) Cos wt, w = [(1/LC) - (R/2L) 2] 1 / 2 The higher the resistance value, the swing buffer will set faster would absorb more energy from the system. If R is equal to (4L / C) ½ the system is overdamped.




Routh stability test-Hurtwitz.

Stability.
In studying the stability of a system must distinguish between absolute and relative stability. Absolute stability

:
If a linear time invariant stable return to its equilibrium condition after being subjected to a disturbance in one of its entries. Mathematically, it is known that a system is stable when all roots of its characteristic equation are located in the left half-plane s-plane Stability
Relative
refers to the degree of stability of response and is measured by parameters such as damping factor () and the maximum peak Mp. Ruth

Criteria:
The stability criterion of Routh-Hurwitz for a closed-loop system does not require the calculation of the values \u200b\u200bof the roots of the characteristic equation, this criterion only indicates if the roots are on the right side of the imaginary axis .

Second Order Systems

Mathematically, a second-order system is governed by a differential equation of second order (ie, reducible to terms with second derivatives. From the physical point of view, these systems must be able to store energy and then return late, so they tend to cause oscillations. Typical examples of second-order systems are a set of spring and damper, or an RLC circuit with the "swing" of reactive power between the condenser coil. Reduced order systems


In some cases, higher order systems can be simplified to result in lower-order systems easier to analyze.

A) Dominance: poles and zeros away.
B) Cancellation: Pairs of poles and zeros coming. Definition

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Modulation


Modulation signal modulation is a fundamental concept in communications and is to use a base signal (which carries the information that we wish to convey) to modify the properties of a carrier signal (typically a pure frequency much higher frequency). In the simplest case, the base signal adjust the amplitude of the carrier, and we have a AM (amplitude modulation). In other methods used to modify the original signal frequency (FM) or phase (PM) of the carrier.
Consider a speech signal v (t) whose Fourier transform is V (). Let's see what happens if we take an ideal carrier, a complex exponential of frequency c and amplitude 1, and we make our voice signal to determine the extent of the carrier:

For properties of the TF we see that the TF of the new signal keeps its shape V () but now is focused on! C, instead of 0. By keeping the way it is clear that we can recover the original signal just going to multiply (ie, demodulating).
In the real world things are a little more complicated. We must work with real signals, so that we can not multiply by complex exponential to modulate or demodulate. Instead we use real sinusoids, for example cos (ct), to modulate our signals. Modular

a signal to amend any of the characteristics of that signal, called carrier, according to the characteristics another called modulating signal.

In the figure, we can see that the carrier signal is modified based on the amplitude of the modulating signal and the resulting signal is shown on the right side of the figure.

The aim of modulating a signal, you have control over it. The control is done on certain elements of a continuous oscillation, these are modified according to the waveform signal to be transmitted.
parameters or fundamental values \u200b\u200bof an analogue signal: Amplitude, Frequency and Phase.

Modulated Signals Continuing

AM: Amplitude Modulation
FM: Frequency Modulation
PM:
Discontinuous Phase Modulation (Pulse)
PAM: Pulse Amplitude Modulation
PWM: Pulse Width Modulation
PPM: Pulse Position Modulation

Frequency Modulation (FM):
Frequency Modulation (FM) is the process of combining a sign of AF (Audio Frequency) with a RF (Radio Frequency) in the frequency range between 88MHz and 108MHz, so that the amplitude of the AF frequency varies RF.

If the modulating signal varies in frequency, has no effect on the maximum and minimum excursions of the carrier frequency, but only determines how quickly or slowly occurring changes in frequency. That is, a lower frequency modulation causes changes to occur at a rate slower, and a higher frequency modulation does occur at a faster rate. However, the variations in amplitude modulation signal if they affect the maximum and minimum excursions of the carrier frequency. A broader signal causes a greater change in frequency and a smaller signal causes a minor change in frequency.

Frequency Bands:
The electromagnetic spectrum is divided into bands of radio frequency links under the rules of regulatory authorities global communications, which are part of the International Telecommunication Union (ITU). The radio frequencies are defined between limits established and respected designers and users. The bands that fit the radio options are described below.

Why is Modula?

modular There are several reasons, including:
• facilitates the spread of the information signal by cable or by air.
• Order the radio spectrum, distributing information channels to each other. • Decreases DIMENSIONS
antennas.
• Optimizes bandwidth of each •
channel to avoid interference between channels.
• Protect Information by NOISE degradations.
• Define the quality of information conveyed.
• Modulation
Kinds Are There?
There are basically two types of modulation: analogue modulation, which is made from analog signal information, such as the human voice, audio and video in electrically and digital modulation, which takes place from signals generated by digital sources, such as a computer.
• Analog modulation: AM, FM, PM
• Digital Modulation: ASK, FSK, PSK, QAM

Canal How does the signal?
depends on the medium or channel, as there are some better than others, but also depends on the modulation type and application. The main effects
gets the signal to propagate are

• Attenuation • Fainting • White Noise Additive

• External interference
• phase noise signal
• Reflection Refraction

• • • Scattering Diffraction


What relationship between the modulation and channel?
channel strongly influences the choice of modulation of a communication system, mainly due to noise.
• CHANNEL: Noise, distortion, interference and attenuation.
• MODULATION noise immunity, protects the quality of information, avoids interference.

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Convolution


In mathematics and, in particular, functional analysis, a convolution is a mathematical operator that transforms two functions f and g in a third function that in some sense represents the extent to which overlap and transferred fy version g. inverted A convolution is a very general moving average, as can be seen if one of the functions we take as the characteristic function of an interval.
The convolution of and is denoted. Integral is defined as the product of two functions after one is reversed and displaced a distance τ.

The range of integration depends on the domain over which the functions are defined. In the case of a finite integration range, f and g are often considered as extended, regularly in both directions, such that the term g (t-τ) does not imply a violation in the range. When we use these domains periodic convolution is sometimes called cyclic. Of course it is also possible to extend with zeros domains. The name used when we stakes in these domains "zero-extended" or the infinite is the linear convolution, especially in the discrete case we will present below.
If X and Y are two independent random variables with probability density functions f and g, respectively, then the probability density of the sum X + Y is given by the convolution f * g.
For discrete functions you can use a discrete form of convolution. That is,

When we multiply two polynomials, the coefficients of the product are given by the convolution of the original sequences of coefficients, in the sense given here (using extensions with zeros as mentioned).
generalize the previous cases la convolución puede ser definida para cualesquiera dos funciones cuadrado-integrables definidas sobre un grupo topológico localmente compacto. Una generalización diferente es la convolución de distribuciones
Mediante la convolución calcularemos la respuesta de un sistema (y(t)) a una entrada arbitraria (x(t)).

Dos condiciones para realizar la convolución:
• Sistema LTI.
• La respuesta al impulso del sistema es h(t).

Basándonos en el principio de superposición y en que el sistema es invariante en el tiempo:
Si L{δ (t )} = h( t ) L {K * δ ( t - t0)} = K * h( t – t0).

Una arbitrary input signal x (t) can be expressed as an infinite train of pulses. To do this, we divide x (t) in rectangular strips of width and height ts x (k ts). Each strip replaced it with an impulse whose amplitude is the area of \u200b\u200bthe strip: ts * x (kts) × δ (t-ct).

Convolution Theorem

The convolution theorem states that under certain circumstances, the Fourier transform of a convolution is the product of the transformed point. In other words, convolution in one domain (eg time domain) is equivalent to the dot product (or internal) in the other domain (ie the spectral domain). Sean
two functions f and g whose convolution is given by f * g. (Note that the asterisk denotes convolution in this context and no multiplication is sometimes also used the symbol). Is the operator of the Fourier transform, so that and are the Fourier transforms of f and g, respectively. Then


where • indicates dot product. Also arguable that:

Applying inverse Fourier transform, we can write:
.

Using Convolution and related operations are found in many applications of engineering and mathematics.
• In statistics, as stated above, a weighted moving average is a convolution. • In theory
of probability, the probability distribution of the sum of two independent random variables is the convolution of each of their probability distributions.
• In optics, many kinds of "spots" are described in convolutions. A shadow (eg the shadow on the table when we hand between it and the light source) is the convolution of the shape of the light source that creates the shadow and the object whose shadow is being projected. A blurry photograph is the convolution of the right image with the blur circle formed by the iris diaphragm.
• In acoustics, an echo is the convolution of the original sound with a function that represents the various objects that lo reflejan.
• En ingeniería eléctrica y otras disciplinas, la salida de un sistema lineal (estacionario o bien tiempo-invariante o espacio-invariante) es la convolución de la entrada con la respuesta del sistema a un impulso (ver animaciones).
• En física, allí donde haya un sistema lineal con un "principio de superposición", aparece una operación de convolución.


Tipos de Convolución
• Convolución Discreta
Cuando se trata de hacer un procesamiento digital de señal no tiene sentido hablar de convoluciones aplicando estrictamente la definición ya que solo disponemos de valores en instantes discretos de tiempo. Es necesario, pues, a numerical approximation. To perform the convolution between two signals, will assess the area of \u200b\u200bthe function. For this, we have samples of both signals at the instants of time, we call y (where n and k are integers). The area is therefore

The discrete convolution is determined by a sampling interval t = 1:

• Circular Convolution gT
When a function is periodic with a period of T, then the functions f such as f * gT exist, their convolution is also periodic i equal to:

Where is chosen arbitrarily. The sum is called a periodic extension of function f.
If gT is a periodic extension of another function, g, then f * gT is known to be circular, cyclical, or periodic convolution of fi g.
method to calculate the circular convolution:
We have 2 circles, one outside and one inside. We turn the inner circle i adding their values. If the two circles have different sizes, then the smallest we add "0" at the beginning, end or the beginning and end.
[L> = L1 + L2-1]

properties of the different properties of convolution operators are 12
Commutativity

Note: This property may be lost if not asked to "turn around" to a function. Associativity


Distributivity


Associativity with scalar multiplication
For any real or complex number a. Derivation rule


where Df denotes the derivative of Buddha, in the discrete case, the difference operator
. Convolution theorem


where denotes the Fourier transform of f. This theorem is also true with the Laplace Transform.

Monday, July 6, 2009

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I had a heated discussion with Gerard.
At first still thought that my safety was better than nothing and I just knew to leave the city, it was all classified information.
When asked about the balloons are limited to putting a face of surprise and say that he had told me.
And then I've screamed that fucking jerk, the sky was yellow, that shit of confidential information could have been there ...

And I have earned a good slap. Gerard
is if anything more stubborn than me. I do not think that is a bad person, but I do believe is that the "complex Equalizer" will totally invade. Equalizer
Complex is when a person rather than run and save your ass is left, thinking it's the right thing but can not do anything to change or improve a situation. And it seems the "situation" I'm Gerard, about twenty grumpy and foul-mouthed ay that neglected little that will kill him, as Pink.
I am aware.

been sitting with a sigh in my arms akimbo and has begun to speak very slowly, to narrate as they had started a war to put them in a crazy city.
Nobody had said anything.
Some people in the city, totally gone by ingesting spores attacking others.
did not know whether the sale was due to greater exposure, age or weight of the person or was simply genetic. Some passed them and not others.

They had seen people killed by biting, destroying blows with improper sadism any civilized being. Stealing
corpses to hide, like dragons.
I said I'd never seen anything like that. It was something a man of his battalion defined as Windigo, the magic of the woods, but whatever it was the orders were that nothing is left standing.
And they did.
And I felt I had found a giant piece of the puzzle.
The cries and shots the first three days, when I dug into my house after the explosion, the mimicry of Pink.
Now everything starts to make sense in my mind.

I'm going to Madrid. It is now Alicia that I need. Just

Sunday, July 5, 2009

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days 50 days 48

think so. I can hardly believe anything.
This morning when I woke up my heart sank.

Deskbar In my laptop, an orange light blinking.
I've watched a few seconds without reacting before pouncing on the computer and open the messenger who claimed my attention.

Two messages from a friend who studied in Madrid, wondering if he was OK. Received was about an hour and a half. Online Tracking. I typed
stumbled up to me a reply.
not know if anyone else knows what is happening but I am unable to repeat what she told me. I hit a piece, then think what you want and I'll catch the neck Gerard



"Alicia says:
Tia, is that this is very strong, dammit. The fucking balloons are everywhere here there as well? O. Alano

please answer = says:
"Balloons?

Alicia says:
If shit, gray balloons. Have not you seen? Alano

please answer = says:
Here was a kind of yellowish ash, but it was a few days ...

Alicia says:
Yes, it is a matter of balloons. Maybe you are gone. Alano

please answer = says:
not know what you mean. Seriously. Here have been through horrible things.
The army is doing horrible things. No one in the street, there's nothing on TV

Alicia says:
Then you have not seen? Alano

please answer = says:
see that?

Alicia says:
A balloons, balloon fucking

Alicia says: Well I call
balloons, which are not. Alicia
says
saw a day about everything mess, when I was in college. They are like a sort of grayish sac fly. They throw
saying yellow spores. They are like mushroom and powered flight.

Alicia says:
are very rare, really not Have you seen any? Alano

please answer = says:
WTF? Alano

please answer = says:
bags and throw flying spores? Baby, Are you okay?

Alicia says:
No. caught one, not very big and try to dissect it to see what it was. And I did not suddenly this thing overalls. Alano

please answer = says:
okay?

Alicia says:
Well, I have burns on his hands and as I fell back I injured my ankle. I do not think is broken, but I have a good twist. It has swollen like a boot.

Alicia says, pulling fly
hydrogen. I say to be careful, because these things can petar. They are not very stable. Trans


please answer = says: Damn


Alicia says:
Well, now I'm home. I'm fine. I have supplies.

Alicia says:
And to think that everyone laughed at me when I started to cultivate vegetables on the balcony xD

Alicia says:
And you how are you? Alano

please answer = says: Well
. Try to shoot a rifle and throw me on the shoulder site.

Alicia says: Damn
aunt, but you tried to shoot "a tank? Alano

please answer = says:
... I is not ... a large military rifle.

Alicia says: Well, you had to cojerlo
bad balls. Alano

please answer = says:
Oh sorry, I promise that for the next Apocalypse beareth me a course in survival CCC.

Alicia says:
And beyond that? Alano

please answer = says:
Well, I met a French soldier with the "complex Equalizer" That has been put between the eyes to save your ass.

Alicia says ...


Alicia says
Stay away from these people. They are dangerous. Alano

please answer = says: That
me and said. I think it's a deserter or something.

Alicia says
Mar, this guy is not a military.

Alicia says:
When everything happened at any time the military deployed in the city, were taken to another site. Alano

please answer = says:
What site?

Alicia says:
do not know. But that which is with you is not a military. I'm almost sure.

Alicia says:
here was also to those. I thought they were military.

Alicia says:
The first day, so many people breathe spores it was the head and attacked another. It was very kaffir.

Alicia says:
They dropped a troop of heavily armed mercenaries, such as Iraq. When they were left with nothing but devoted themselves to kill the shrimp around the city. And those, first shoot and then ask. Alano

please answer = says:
what about the bodies?

Alicia says:
not. Take them away, or eat them or me know. The case is disappearing. "