Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Uniform Distribution01:19

Uniform Distribution

5.1K
The uniform distribution is a continuous probability distribution of events with an equal probability of occurrence. This distribution is rectangular.
Two essential properties of this distribution are
5.1K
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

124
Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
124
Mesh Analysis for AC Circuits01:12

Mesh Analysis for AC Circuits

401
In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
401
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

353
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
353
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

3.7K
The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed...
3.7K
The Maximum Power Transfer Theorem01:20

The Maximum Power Transfer Theorem

678
Consider a linear AC Thevenin equivalent circuit connected to a load impedance.
The load connected draws the current, and the circuit delivers the power to the load. The alternating current flowing through the load is determined using the rectangular form of voltages, currents, network impedance, and load impedance. The average power delivered to the load is obtained from the product of the square of current and load resistance.
678

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Support Size of <i>ε</i>-Capacity-Achieving Inputs for the Amplitude-Constrained AWGN Channel.

Entropy (Basel, Switzerland)·2026
Same author

Improved Information-Theoretic Generalization Bounds for Distributed, Federated, and Iterative Learning.

Entropy (Basel, Switzerland)·2022
Same author

The Perfect Match: Assessment of Sample Collection Efficiency for Immunological and Molecular Findings in Different Types of Fabrics.

International journal of molecular sciences·2022
Same author

Finite-Sample Bounds on the Accuracy of Plug-in Estimators of Fisher Information.

Entropy (Basel, Switzerland)·2021
Same author

Amplitude Constrained MIMO Channels: Properties of Optimal Input Distributions and Bounds on the Capacity.

Entropy (Basel, Switzerland)·2020

Related Experiment Video

Updated: Jul 29, 2025

Calibration of Vector Network Analyzer for Measurements in Radio Frequency Propagation Channels
10:00

Calibration of Vector Network Analyzer for Measurements in Radio Frequency Propagation Channels

Published on: June 2, 2020

21.1K

Amplitude Constrained Vector Gaussian Wiretap Channel: Properties of the Secrecy-Capacity-Achieving Input

Antonino Favano1, Luca Barletta1, Alex Dytso2

  • 1Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, 20133 Milano, Italy.

Entropy (Basel, Switzerland)
|May 27, 2023
PubMed
Summary

This study analyzes the secrecy capacity of Gaussian wiretap channels. It identifies optimal input distributions under peak power constraints, particularly in the low-amplitude regime for high-dimensional channels.

Keywords:
MIMOamplitude constraintswiretap channel

More Related Videos

Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

10.9K
Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.2K

Related Experiment Videos

Last Updated: Jul 29, 2025

Calibration of Vector Network Analyzer for Measurements in Radio Frequency Propagation Channels
10:00

Calibration of Vector Network Analyzer for Measurements in Radio Frequency Propagation Channels

Published on: June 2, 2020

21.1K
Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

10.9K
Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.2K

Area of Science:

  • Information Theory
  • Wireless Communications
  • Cryptography

Background:

  • Gaussian wiretap channels are fundamental models for secure communication.
  • Peak power constraints are critical for practical system design.
  • Understanding optimal input distributions is key to maximizing secrecy capacity.

Purpose of the Study:

  • To determine the secrecy capacity of n-dimensional Gaussian wiretap channels under peak power constraints.
  • To characterize the low-amplitude regime where spherical input distributions are optimal.
  • To analyze the asymptotic behavior of secrecy capacity for large dimensions.

Main Methods:

  • Analysis of the secrecy capacity under a peak power constraint.
  • Determination of the optimal input distribution regime (low-amplitude).
  • Asymptotic characterization of the peak power constraint R¯n for large n.
  • Derivation of a computable form for the secrecy capacity.

Main Results:

  • The largest peak power constraint R¯n for which a uniform spherical input distribution is optimal is determined.
  • The asymptotic value of R¯n as n approaches infinity is characterized based on noise variances.
  • The secrecy capacity is provided in a computationally accessible format.
  • For the scalar case (n=1), the optimal input distribution is shown to be discrete.

Conclusions:

  • The study provides a comprehensive analysis of secrecy capacity in high-dimensional Gaussian wiretap channels.
  • The findings offer insights into optimal strategies for secure communication under power limitations.
  • The characterization of the low-amplitude regime and asymptotic behavior is crucial for practical system design.