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- Alpha_max_plus_beta_min_algorithm abstract "The alpha max plus beta min algorithm is a high-speed approximation of the square root of the sum of two squares. The square root of the sum of two squares, also known as Pythagorean addition, is a useful function, because it finds the hypotenuse of a right triangle given the two side lengths, the norm of a 2-D vector, or the magnitude of a complex number z=a+bi given the real and imaginary parts.The algorithm avoids performing the square and square-root operations, instead using simple operations such as comparison, multiplication, and addition. Some choices of the α and β parameters of the algorithm allow the multiplication operation to be reduced to a simple shift of binary digits that is particularly well suited to implementation in high-speed digital circuitry.The approximation is expressed as:Where is the maximum absolute value of I and Q and is the minimum absolute value of I and Q.For the closest approximation, the optimum values for and are and , giving a maximum error of 3.96%.".
- Alpha_max_plus_beta_min_algorithm thumbnail Alpha_Max_Beta_Min_approximation.png?width=300.
- Alpha_max_plus_beta_min_algorithm wikiPageExternalLink magnitude-estimator.
- Alpha_max_plus_beta_min_algorithm wikiPageID "6016645".
- Alpha_max_plus_beta_min_algorithm wikiPageRevisionID "594326079".
- Alpha_max_plus_beta_min_algorithm hasPhotoCollection Alpha_max_plus_beta_min_algorithm.
- Alpha_max_plus_beta_min_algorithm subject Category:Approximation_algorithms.
- Alpha_max_plus_beta_min_algorithm subject Category:Root-finding_algorithms.
- Alpha_max_plus_beta_min_algorithm type Abstraction100002137.
- Alpha_max_plus_beta_min_algorithm type Act100030358.
- Alpha_max_plus_beta_min_algorithm type Activity100407535.
- Alpha_max_plus_beta_min_algorithm type Algorithm105847438.
- Alpha_max_plus_beta_min_algorithm type ApproximationAlgorithms.
- Alpha_max_plus_beta_min_algorithm type Event100029378.
- Alpha_max_plus_beta_min_algorithm type Procedure101023820.
- Alpha_max_plus_beta_min_algorithm type PsychologicalFeature100023100.
- Alpha_max_plus_beta_min_algorithm type Root-findingAlgorithms.
- Alpha_max_plus_beta_min_algorithm type Rule105846932.
- Alpha_max_plus_beta_min_algorithm type YagoPermanentlyLocatedEntity.
- Alpha_max_plus_beta_min_algorithm comment "The alpha max plus beta min algorithm is a high-speed approximation of the square root of the sum of two squares.".
- Alpha_max_plus_beta_min_algorithm label "Alpha max plus beta min algorithm".
- Alpha_max_plus_beta_min_algorithm sameAs m.0fks29.
- Alpha_max_plus_beta_min_algorithm sameAs Q4735165.
- Alpha_max_plus_beta_min_algorithm sameAs Q4735165.
- Alpha_max_plus_beta_min_algorithm sameAs Alpha_max_plus_beta_min_algorithm.
- Alpha_max_plus_beta_min_algorithm wasDerivedFrom Alpha_max_plus_beta_min_algorithm?oldid=594326079.
- Alpha_max_plus_beta_min_algorithm depiction Alpha_Max_Beta_Min_approximation.png.
- Alpha_max_plus_beta_min_algorithm isPrimaryTopicOf Alpha_max_plus_beta_min_algorithm.
