O'Reilly logo

Generalizations of Cyclostationary Signal Processing: Spectral Analysis and Applications by Antonio Napolitano

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4.4 The Bifrequency Cross-Periodogram

In this section, for jointly SC processes, the bifrequency cross-periodogram is defined and its expected value (Lemma 3.1) and covariance (Lemma 3.2) are derived. Moreover, the bifrequency cross-periodogram is shown to be an estimator of the bifrequency spectral cross-correlation density function img asymptotically biased (Theorem 3.1) and with nonzero asymptotic variance (Theorem 3.2).

Definition 4.4.1 Given two stochastic processes img and img, their bifrequency cross-periodogram is defined as

(4.93) equation

where img and img are the short-time Fourier transforms (STFTs) of y(t) and x(t), respectively, defined according to

(4.94a) equation

(4.94b) equation

with Z(f) denoting the (generalized) ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required