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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Properties of Fourier Transform II01:24

Properties of Fourier Transform II

The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
Discrete-Time Fourier Series01:20

Discrete-Time Fourier Series

The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
For a discrete-time periodic signal x[n]...
Properties of DTFT I01:24

Properties of DTFT I

In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
The linearity property of DTFTs is fundamental. If two discrete-time signals are multiplied by constants a and b respectively, and then combined to...
State Space Representation01:27

State Space Representation

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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Related Experiment Video

Updated: May 28, 2026

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements
09:36

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Published on: June 25, 2021

Delay-Doppler Domain Time-Hopping Key Generation and Security Analysis for Orthogonal Time Frequency Space Satellite

Wei Li1,2,3, Zhendie Bai1,2,3, Jikang Wang1,2,3

  • 1Shanghai Satellite Network Research Institute Co., Ltd., Shanghai 201210, China.

Sensors (Basel, Switzerland)
|May 27, 2026
PubMed
Summary

This study introduces a novel key generation scheme for satellite communications, enhancing security by leveraging channel characteristics. The new method significantly improves key randomness and prevents eavesdropping, outperforming traditional approaches.

Keywords:
OTFSchannel characteristicsdelay-doppler domainkey generationsatellite communicationtime-hopping mechanism

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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Related Experiment Videos

Last Updated: May 28, 2026

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements
09:36

Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements

Published on: June 25, 2021

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Area of Science:

  • Wireless Communication Security
  • Information Theory
  • Signal Processing

Background:

  • Physical-layer key generation (PLKG) offers enhanced security for 6G networks by using wireless channel traits.
  • Satellite communication channels present unique challenges like high dynamics and long delays, hindering traditional PLKG.
  • Existing PLKG methods struggle with reciprocity degradation, low key generation rates, and vulnerability to prediction attacks in satellite links.

Purpose of the Study:

  • To propose a robust physical-layer key generation scheme for high-speed satellite communication links.
  • To address the challenges posed by dynamic satellite channels, including Doppler shifts and propagation delays.
  • To enhance security against eavesdropping and improve key randomness for next-generation satellite networks.

Main Methods:

  • A delay-Doppler domain time-hopping key generation (KE-DD-TH) scheme based on Orthogonal Time Frequency Space (OTFS) modulation is proposed.
  • Non-uniform sampling on the OTFS delay-Doppler grid is achieved using an ephemeris-driven pseudo-random time-hopping sequence.
  • Legitimate parties construct an 'equivalent channel' matrix by multiplying adjacent channel estimates at time-hopping instants.

Main Results:

  • The proposed KE-DD-TH scheme yields a random source with high entropy, high reciprocity, and low predictability.
  • Eavesdroppers exhibit a key disagreement rate (KDR) close to 0.5, indicating negligible mutual information, across all signal-to-noise ratio (SNR) conditions.
  • Generated keys successfully passed all 12 randomness tests of the NIST SP 800-22 statistical test suite, demonstrating high quality.

Conclusions:

  • The KE-DD-TH scheme effectively overcomes the limitations of PLKG in dynamic satellite channels.
  • The proposed method provides a secure and reliable solution for generating encryption keys in satellite communications.
  • This approach significantly enhances physical-layer security for LEO/MEO satellite links, offering resistance to advanced eavesdropping techniques.