Marcum Q-function

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application digital communications
wireless communications
radar detection
error probability analysis
gptkbp:expressedIn Q_m(a, b) = ∫_b^∞ x (x/a)^{m-1} exp(-(x^2 + a^2)/2) I_{m-1}(a x) dx
gptkbp:field gptkb:signal_processing
communications engineering
statistics
gptkbp:firstDescribed 1950
gptkbp:generalizes Q-function
gptkbp:hasSpecialCase m=1 (first-order Marcum Q-function)
https://www.w3.org/2000/01/rdf-schema#label Marcum Q-function
gptkbp:namedAfter gptkb:John_I._Marcum
gptkbp:relatedTo Bessel function
Rice distribution
noncentral chi distribution
gptkbp:usedFor detection theory
radar signal processing
probability of detection
gptkbp:variant order (m)
parameters (a, b)
gptkbp:bfsParent gptkb:Lavenberg–Marcum_Q-function
gptkbp:bfsLayer 6