Random modulation: Difference between revisions

Revision as of 07:36, 22 January 2011

Revision as of 15:50, 25 January 2011

Line 1:

{{New unreviewed article|source=ArticleWizard|date=December 2010}}

{{Signal-processing-stub}}

{{stat-stub}}

In [[Modulation|modulation theory]] and [[stochastic process|stochastic processes theory]], '''Random modulation''' is the [[Quadrature modulation]] of two stochastic [[Baseband_signal#Baseband_signal|baseband signals]] (whose [[frequency spectrum]] is non-zero only for <math>f \in [-B/2,B/2]</math>) <math>x_c(t)</math> and <math>x_s(t)</math> on a carrier frequency <math>f_0</math> (with <math>f_0 > B/2</math>) to form the signal <math>x(t)</math>:

Line 11 ⟶ 9:

It can be shown that <math>x(t)</math> is WSS [[iff]] <math>\underline{x}(t)</math> is circular complex, i.e. iff <math>x_c(t)</math> and <math>x_s(t)</math> are such that

:<math>R_{x_c x_c}(\tau)=R_{x_s x_s}(\tau) \qquad R_{x_c x_s}(\tau)=-R_{x_s x_c}(\tau)</math>

== Bibliography ==

Line 18 ⟶ 15:

<!--- Categories --->

{{DEFAULTSORT:Random Modulation}}

[[Category:Signal processing]]

[[Category:Time series analysis]]

{{Signal-processing-stub}}

{{stat-stub}}