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Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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On the interference alignment with limited feedback for device-to-device networks.

Yang Zhang1, Chenglin Zhao2, Jusheng Yu3

  • 1School of Information and communication Engineering, Beijing University of Post and Telecommunications (BUPT), Xï Tu Cheng Road 10, Beijing, 100876 China ; School of Electronic Engineering, Beijing University of Post and Telecommunications (BUPT), Xï Tu Cheng Road 10, Beijing, 100876 China ; College of Computer and Communication Engineering, China University of Petroleum (UPC), Cḧangjiang xi Road 66, Qingdao, 266555 China.

EURASIP Journal on Wireless Communications and Networking
|April 13, 2016
PubMed
Summary

This study analyzes interference alignment in device-to-device (D2D) networks, considering imperfect precoding. We derived accurate throughput expressions, offering insights for practical cellular network designs.

Keywords:
Device-to-device communicationInterference alignmentLimited feedbackMIMO

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Area of Science:

  • Wireless communication networks
  • Signal processing for wireless systems

Background:

  • Device-to-device (D2D) communication enhances cellular network capacity.
  • Interference alignment is crucial for D2D uplink underlay networks.
  • Limited feedback introduces imperfections in precoding vectors, impacting performance.

Purpose of the Study:

  • To analyze the performance of interference alignment in D2D uplink underlay cellular networks.
  • To derive closed-form expressions for average throughput considering imperfect precoding.
  • To evaluate the impact of transmit power and feedback bits on network performance.

Main Methods:

  • Mathematical analysis to derive exact closed-form expressions for average throughput.
  • Modeling of imperfect precoding vectors due to limited feedback.
  • Performance evaluation using simulation results for verification.

Main Results:

  • Closed-form expressions for average throughput of both cellular and D2D networks were derived.
  • The impact of transmit power and the number of feedback bits on throughput was quantified.
  • Simulation results validated the accuracy of the derived analytic expressions.

Conclusions:

  • The derived analytic results accurately predict network performance.
  • The findings offer valuable insights for the practical design of D2D underlay cellular systems.
  • Understanding the impact of feedback limitations is key for optimizing D2D network throughput.