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Related Concept Videos

State Space Representation01:27

State Space Representation

277
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...
277
State Space to Transfer Function01:21

State Space to Transfer Function

294
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
294
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

120
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
120
Discrete-time Fourier transform01:26

Discrete-time Fourier transform

450
The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...
450
Basic Discrete Time Signals01:16

Basic Discrete Time Signals

294
The unit step sequence is defined as 1 for zero and positive values of the integer n. This sequence can be graphically displayed using a set of eight sample points, showing a step function starting from n=0 and remaining constant thereafter.
The unit impulse or sample sequence is mathematically expressed as zero for all n values except at n=0, where it is one. The unit impulse sequence, denoted by δ(n), is the first difference of the unit step sequence, while the unit step sequence u(n) is...
294
Linear time-invariant Systems01:23

Linear time-invariant Systems

370
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
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Optimized Distributed Generalized Reed-Solomon Coding with Space-Time Block Coded Spatial Modulation.

Chunli Zhao1, Fengfan Yang1, Daniel Kariuki Waweru1

  • 1College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.

Sensors (Basel, Switzerland)
|August 26, 2022
PubMed
Summary
This summary is machine-generated.

We introduce a distributed generalized Reed-Solomon (GRS) coded space-time block coded spatial modulation (STBC-SM) scheme for wireless networks. This system enhances cooperation between source and relay nodes, achieving near-optimal error performance with low complexity.

Keywords:
coded cooperationgeneralized Reed–Solomon (GRS)space-time block coded spatial modulation (STBC-SM)

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Area of Science:

  • Wireless communication networks
  • Information theory
  • Coding theory

Background:

  • Generalized Reed-Solomon (GRS) codes are well-established in error correction.
  • Space-time block coded spatial modulation (STBC-SM) enhances wireless transmission reliability.
  • Coded cooperation between source and relay nodes improves network performance.

Purpose of the Study:

  • To propose a novel distributed GRS-coded STBC-SM (DGRSC-STBC-SM) scheme.
  • To enable coded cooperation between source and relay nodes using distinct GRS codes.
  • To optimize symbol selection at the relay for enhanced codeword construction at the destination.

Main Methods:

  • The DGRSC-STBC-SM scheme utilizes distinct GRS codes at source and relay.
  • Information selection at the relay chooses source symbols for encoding.
  • An optimal algorithm and a low-complexity practical algorithm are proposed for symbol selection.
  • Monte Carlo simulations are used for performance evaluation.

Main Results:

  • The proposed low-complexity algorithm achieves near-optimal error performance.
  • The DGRSC-STBC-SM scheme outperforms its non-cooperative counterpart.
  • The proposed scheme demonstrates superior error performance compared to existing Reed-Solomon coded cooperative SM (RSCC-SM) schemes.

Conclusions:

  • The DGRSC-STBC-SM scheme effectively leverages coded cooperation for improved wireless communication.
  • The low-complexity algorithm provides a practical and efficient solution for symbol selection.
  • The proposed scheme offers significant error performance gains in wireless networks.