On the Phase and Envelope Distributions of Amplitude-Modulated Signals

Abstract

In this memo, the probability density functions (pdfs) for the phase and the envelope of an amplitude-modulated (AM) signal, where the modulation is modeled as a Gaussian random process, in the presence of narrow-band Gaussian noise are calculated. An exact, closed-form expression is obtained for the phase pdf, while approximate results, accurate for small and large carrier-to-noise ratios (CNRs), are derived for the envelope pdf.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2004
Accession Number
ADA640447

Entities

People

  • Stephen H. Sung
  • Yifeng Zhou

Organizations

  • Defence Research and Development Canada

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Amplitude Modulation
  • Carrier Frequencies
  • Classification
  • Computational Science
  • Computer Simulations
  • Data Science
  • Distribution Functions
  • Electronic Intelligence
  • Gaussian Processes
  • Information Science
  • Modulation
  • National Security
  • Noise
  • Probability
  • Probability Density Functions
  • Security

Fields of Study

  • Physics

Readers

  • Radio communications and signal processing.
  • Statistical inference.