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Topic: Transfer function

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State space (controls)

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LTI system theory

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	Nikon MicroscopyU: Modulation Transfer Function
		Therefore, the optical transfer function is a spatial frequency-dependent complex variable whose modulus is the modulation transfer function, and whose phase is described by the phase transfer function.
		The modulation transfer function is also related to the point spread function, which is the image of a point source of light (commonly referred to as the Airy disk) from the specimen projected by the microscope objective onto the intermediate image plane.
		In this case, however, the point spread function is replaced by the time response to a very short electrical impulse, and the optical transfer function is replaced by the imaging system's response to the sinusoidal electrical signal with respect to amplitude and phase.
	www.microscopyu.com /articles/optics/mtfintro.html (4055 words)

	A Standard Default Color Space for the Internet - sRGB
		The ITU-R BT.709 transfer function in combination with its target monitor is attempting to achieve a viewing gamma of 1.125 by incorrectly assuming a CRT gamma of 2.5 and an LUT gamma of 1.0/2.222 as shown in the equation below.
		Despite the fact that the exponent of the 709 function is 1.0/2.222, the actual 709 encoding transfer function is closer to a CRT gamma of 1.0/1.956 than 1.0/2.222.
		This is due to the large offset of 0.099 in the transfer function equation.
	www.w3.org /Graphics/Color/sRGB (6019 words)

	Transfer Function Analysis
		The transfer function provides an algebraic representation of a linear, time-invariant (LTI) filter in the frequency domain:
		It turns out (as we will show) that the transfer function is equal to the z transform of the impulse response
		It remains to define ``z transform'', and to prove that the z transform of the impulse response always gives the transfer function, which we will do by proving the convolution theorem for z transforms.
	ccrma.stanford.edu /~jos/filters/Transfer_Function_Analysis.html (143 words)

	vi_extinc4.html: Improved Transfer Function Measurements
		The spike artifacts are caused by zero, or near zero, amplitudes in the reinforcement schedule spectrum at frequencies important to the measurement.
		hile measuring the transfer function of pigeons, it became apparent that zeros in the amplitude of the reinforcement schedule spectrum could introduce spike artifacts (Palya, Walter, Kessel & Lucke, 1996).
		However, unless the birds are wildly non-linear in their steady-state behavior, this method will improve the measurement of the transfer function.
	www.jsu.edu /depart/psychology/sebac/xfer/vi_extinc4.html (683 words)

	PlanetMath: transfer function (Site not responding. Last check: )
		The transfer function of a linear dynamical system is the ratio of the Laplace transform of its output to the Laplace transform of its input.
		), the transfer function is commonly expressed as a rational function of
		This is version 10 of transfer function, born on 2003-10-16, modified 2006-10-08.
	planetmath.org /encyclopedia/TransferFunction.html (123 words)

	Kids.Net.Au - Encyclopedia > Transfer function
		A transfer function is a mathematical representation of the relation between the input and output of a linear time-invariant system.
		The transfer function can also be derived by using the Fourier transform.
		In control engineering and control theory the transfer function is derived using the Laplace transform.
	www.kids.net.au /encyclopedia-wiki/tr/Transfer_function (169 words)

	Laplace Transform Example #2
		Note that the transfer function is strictly proper, that is, its numerator polynomial is of lower degree than its denominator polynomial.
		The transfer function in factored form can be expanded into a sum of terms, the denominator of each term being one of the terms in the denominator of the transfer function.
		The inverse Laplace Transform of the transfer function H(s) is the impulse response h(t).
	ece.gmu.edu /~gbeale/ece_220/laplace_02.html (1249 words)

	Head-related transfer function - Glasgledius (Site not responding. Last check: )
		In acoustics, a head-related transfer function (HRTF) is the output from a time invariant system">linear time invariant system[?], composed of the listener's head, pinna[?] and torso.
		Linear systems analysis defines the transfer function as the complex ratio between the output signal spectrum and the input signal spectrum as a function of frequency.
		Less specific descriptions include the pinna transfer function, the outer ear transfer function, the pinna response, directional transfer function (DTF) or what is commonly termed the head-related transfer function (HRTF).
	www.glasglow.com /E2/he/Head_Related_Transfer_Function.html (190 words)

	Transfer Functions - Scalar Field Methods - Research - Scientific Computing and Imaging Institute
		Though they have not received widespread attention, multi-dimensional transfer functions are a very effective way to extract materials and their boundaries for both scalar and multivariate data.
		We have adopted these transfer functions because they are well suited for classification based on a unique combination of multiple data values that localize features in the transfer function domain.
		Curvature-based transfer functions are shown to extend the expressivity and utility of volume rendering through contributions in three different application areas: non-photorealistic volume rendering, surface smoothing via anisotropic diffusion, and visualization of isosurface uncertainty.
	www.sci.utah.edu /research/transfer-functions.html (501 words)

	Thesis
		Thus, a good transfer function is one that indicates each material in a different color, and makes each material opaque enough to see, though not so opaque as to occlude underlying structure (Figure 4c).
		Transfer functions can be specified in a variety of ways, though in practice they are usually constructed by hand.
		Kindlmann's method uses the data value along with the first and second directional derivative to create a three-dimensional transfer function which is very effective at visualizing material boundaries, and naturally lends itself to automatic creation.
	www.cs.iastate.edu /~andymenz/Thesis.htm (804 words)

	Transfer Functions
		Implicit in using the transfer function is that the input is a complex exponential, and the output is also a complex exponential having the same frequency.
		The circuit's function is thus summarized by the transfer function.
		The circuit's output to a sinusoidal input is also a sinusoid, having a gain equal to the magnitude of the circuit's transfer function evaluated at the source frequency and a phase equal to the phase of the transfer function at the source frequency.
	cnx.org /content/m0028/latest (930 words)

	State Space Example #1
		The second form of the transfer function makes use of the fact that the inverse of a matrix can be written as the adjoint of the matrix divided by the determinant of the matrix.
		However, since the transfer function is unique, except for pole/zero cancellations, the determinant of (sI-A) is equal to the denominator polynomial in the usual transfer function model.
		Obviously, the mode that is missing from the poles of the transfer function is the one which was cancelled by a zero in the original form of the transfer function.
	ece.gmu.edu /~gbeale/ece_220/state_space_01.html (1804 words)

	TRANSFER FUNCTION MODELS
		Transfer function approach to modeling a time series is a multivariate way of modeling the various lag structures found in the data.
		The transfer function model, however, makes use of the ratio between what are called Numerator and Denominator polynomials.
		At a glance, one might think that the regression models are a special case of the transfer function.
	www.forecastingsolutions.com /trf.html (195 words)

	Nodal Analysis of Op Amp Circuits - Maxim/Dallas
		This application note explains how the transfer function of most op amp circuits can be derived by a simple process of nodal analysis.
		Its transfer function can be calculated by again considering the currents flowing into and out of the nodes.
		Once the equations have been derived, the math (depending on the complexity of the circuit) is moderately straightforward to obtain the transfer function.
	www.maxim-ic.com.cn /appnotes.cfm?an_pk=1939 (1313 words)

	Olympus Microscopy Resource Center: Anatomy of the Microscope - Modulation Transfer Function
		The modulation transfer function (MTF) is a measurement of the microscope's ability to transfer contrast from the specimen to the intermediate image plane at a specific resolution.
		Cutoff Frequency and Airy Disk Size - The modulation transfer function of an optical system is closely related to the distribution of light from the image of a point object produced by the system, a term commonly referred to as the point spread function (PSF).
		This interactive tutorial explores the changes in the point spread function distribution as spatial frequency cutoff is varied in a typical modulation transfer function plot.
	www.olympusmicro.com /primer/anatomy/mtfhome.html (630 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: )
		A transfer function is a mathematical representation of the relation between the input and output of a system (linear, time-invariant systems).
		The transfer function is commonly used in the analysis of single-input single-output analog electronic circuits, for instance.
		The group delay (i.e., the frequency-dependent amount of delay to the envelope of the sinusoid introduced by the transfer function) is found by computing the derivative of the phase shift with respect to angular frequency
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=transfer_function (520 words)

	Example of a Time-Varying Continuous Transfer Function :: Implementing Block Features (Simulink)
		The body of the function performs basic checks to ensure the user entered real vectors for the numerator and denominator, and that the denominator is of a higher order than the numerator.
		The RWork vectors is used to storetwo banks of transfer function coefficients, while the IWork vector is used to indicate which bank in the RWork vector is currently in use.
		The coefficients from the active bank are used to solve a controllable state-space representation of the transfer function.
	www.mathworks.com /access/helpdesk/help/toolbox/simulink/sfg/f4-34172.html (2415 words)

	Transfer Function Y=fX
		Transfer Function Y=f(X) A transfer function describes the relationship between lower level requirements and higher level requirements.
		It is a function of the Xs that contribute to the process.
		f is the transfer function, which explains the transformation of the inputs into the output.
	www.software.isixsigma.com /dictionary/Transfer_Function_Y=fX-404.htm (169 words)

	Transfer function - Definition, explanation
		The transfer function is commonly used in the analysis of single-input single-output analog circuits.
		The transfer function can also be shown using the Fourier transform which is a special case of the bilateral Laplace transform for the case where
		Ontogenesis of fetal thyroid function, maternal contribution, placental transfer of hormone, amniotic fluid, and detection of fetal...
	www.calsky.com /lexikon/en/txt/t/tr/transfer_function.php (550 words)

	Transfer functions documentation
		Functions and operators are first put in canonical representation then written to file in the same format as a variable.
		This function takes a string argument describing the name of native file to write to, including any path where access is granted to write, and some switches to modify its behavior.
		This function takes a string argument describing the name of native file to read from, including any path where access is granted to read, and some switches to modify its behavior.
	www.milinta.com /xfrpc.htm (1760 words)

	Control Tutorials for Matlab
		A dynamic system is most commonly described in one of three ways: by a set of state-space equations and the corresponding matrices, by a transfer function with the numerator and denominator polynomials, or by a list of poles and zeros and the associated gain.
		This model is basically the same as the transfer function model, except that the polynomials have been factored so the poles are all in the denominator and the zeros are in the numerator.
		Remember that for a proper transfer function, the number of poles n is greater than or equal to the number of zeros m.
	www.engin.umich.edu /group/ctm/extras/conver.html (1472 words)

	The Status of the Transfer Function. ERIC Digest.
		Because the priority given to transfer education varies from state to state, there are marked regional differences in the number and percentage of community college students who transfer (The Role of the Community College..., 1983).
		Figures on the number of students who enter community colleges with the intention of transferring are inflated by colleges that count as transfer students anyone enrolled in a credit course but not enrolled in a vocational program.
		Nonetheless, the current reexamination of transfer education has resulted in increased acceptance of an enhanced community college role in serving academically talented students and in a greater acceptance of the need for assessment and tracking programs that identify transfer students and assist them toward their degree goals.
	www.ericdigests.org /pre-926/status.htm (1376 words)

	Initializing complex dialog boxes with transfer buffers (Site not responding. Last check: )
		In fact, if you don't include a transfer element for each control in the dialog box that transfers data, it's unlikely that the OWL code will be able to properly initialize any of the controls.
		function iterates the list of child objects, it uses the return values from these calls to increment a pointer that points to the current transfer element in the transfer buffer.
		The transfer buffer elements for the remaining controls are all basic C++ types.
	owlnext.sourceforge.net /ttt17.html (1310 words)

	State Policy and Community College Baccalaureate Transfer
		There are many types of student transfer activity within higher education: from community colleges to baccalaureate-granting institutions (2/4 transfer); between four- year campuses (4/4); from four-year to two-year campuses (4/2); and between two-year campuses (2/2).
		The 2/4 community college—baccalaureate transfer function is one of the most important state policy issues in higher education because its success (or failure) is central to many dimensions of state higher education performance, including access, equity, affordability, cost effectiveness, degree productivity, and quality.
		If the 2/4 transfer function is weak, however, students who initially enroll in a community college will be less likely to earn a baccalaureate degree, and those who do earn their degree will take longer and need more credits to do so.
	www.highereducation.org /reports/transfer/transfer4.shtml (1094 words)

	Advanced Fortran 90: Callbacks with the Transfer Function - MacResearch (Site not responding. Last check: )
		This is actually a strength of the callback pattern — the behavior of the calling-back function and the callback function are largely decoupled, facilitating code reuse.
		function is there purely to tell the function what type of data it should return.
		The reason you need to make a user-defined type for the pointer is that if you don't, it's not clear whether the transfer function should serialize the pointer passed, or the thing that it points to.
	www.macresearch.org /advanced_fortran_90_callbacks_with_the_transfer_function (1767 words)

	Bode Step MATLAB Toolbox Function Listings
		function NYQLOG(wb,numl,denl) %NYQLOG Nyquist diagram on logarithmic plane %function NYQLOG(wb,numl,denl) % The loop transfer function is numl(s)/denl(s), where numl and % denl contain the polynomial coefficients in descending powers of s.
		function [gain1,phase1] = bonyqas(u,g,lslope,hslope,nml); % function [gain1,phase1] = bonyqas(u,g,lslope,hslope,bnm); % BONYQAS Asymptotic Bode and Nyquist diagrams corresponding in minimum % phase manner to a piece-linear gain response in dB specified by the % gain g(h) at k corner frequencies u(h) in rad/sec.
		% The function numc(s)/denc(s) is the normalized compensator obtained % with function bostep for the nominal plant (1/s)(-s+wc/bnc)/(s+wc/bnc).
	www.luriecontrol.com /FunctionListings.htm (1690 words)

	The task of finding transfer functions
		Because the transfer function is central to the direct volume rendering process, picking a transfer function appropriate for the dataset is essential to creating an informative, high-quality rendering.
		For the purposes of this thesis, the term opacity functions is used to refer to this limited subset of transfer functions.
		Since the opacity function is applied to the whole volume in a position-independent way, volume rendering relies on the premise that the interesting structural components of the volume, such as boundaries, have a reliable correlation with data value.
	www.cs.utah.edu /~gk/MS/html/node2.html (1137 words)

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