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The RF Toolbox add-on to MATLAB [26] and several books (for example "Network scattering parameters" [27]) use this last definition, so caution is necessary. The "From S to T" and "From T to S" paragraphs in this article are based on the first definition. Adaptation to the second definition is trivial (interchanging T11 for T22, and T12 for T21 ...
If you accept that the reflection coefficient is equivalent to the S11 scattering parameter of the load, and that Z0 is the impedance the load sees looking out of its port, i.e. the source impedance, then the formula as written contradicts the definition of S11 (see Scattering_parameters). S11 is defined as b1/a1; a1 is defined as (1/2) K1 (V1 ...
The total active reflection coefficient (TARC) within mathematics and physics scattering theory, relates the total incident power to the total outgoing power in an N-port microwave component. The TARC is mainly used for multiple-input multiple-output ( MIMO ) antenna systems and array antennas , where the outgoing power is unwanted reflected power.
In telecommunications, return loss is a measure in relative terms of the power of the signal reflected by a discontinuity in a transmission line or optical fiber.This discontinuity can be caused by a mismatch between the termination or load connected to the line and the characteristic impedance of the line.
For example, if y is considered a parameter in the above expression, then the coefficient of x would be −3y, and the constant coefficient (with respect to x) would be 1.5 + y. When one writes a x 2 + b x + c , {\displaystyle ax^{2}+bx+c,} it is generally assumed that x is the only variable, and that a , b and c are parameters; thus the ...
Ordinary least squares regression of Okun's law.Since the regression line does not miss any of the points by very much, the R 2 of the regression is relatively high.. In statistics, the coefficient of determination, denoted R 2 or r 2 and pronounced "R squared", is the proportion of the variation in the dependent variable that is predictable from the independent variable(s).
The initial elements of S-matrix theory are found in Paul Dirac's 1927 paper "Über die Quantenmechanik der Stoßvorgänge". [1] [2] The S-matrix was first properly introduced by John Archibald Wheeler in the 1937 paper "On the Mathematical Description of Light Nuclei by the Method of Resonating Group Structure". [3]
A quantity similar (but not mathematically equivalent) to congeneric reliability first appears in the appendix to McDonald's 1970 paper on factor analysis, labeled . [2] In McDonald's work, the new quantity is primarily a mathematical convenience: a well-behaved intermediate that separates two values.