<p>We introduce a randomized decisive rule with a <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11122_2025_5114_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">$\Delta$</EquationSource> </InlineEquation>-layer of signal indistinguishability for the reception of binary pseudorandom signals under deliberate interference (jamming). We find that for signals with base <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11122_2025_5114_Article_IEq3.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">$n\le 2$</EquationSource> </InlineEquation>, when the layer thickness is optimal, the constructed receiver rule provides an increase in the guaranteed interference immunity of signal reception in the class of interference with limited average power, compared to the Kotelnikov receiver. The obtained value of the guaranteed error probability improves the actual upper bound for this quantity.</p>

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Optimization of the Decisive Rule for a Receiver with a \(\Delta\)-Layer of Indistinguishability of Binary Signals in a Channel with Intentional Interference

  • A. M. Chudnov,
  • V. V. Sazonov,
  • V. R. Bikbulatov

摘要

We introduce a randomized decisive rule with a $\Delta$ -layer of signal indistinguishability for the reception of binary pseudorandom signals under deliberate interference (jamming). We find that for signals with base $n\le 2$ , when the layer thickness is optimal, the constructed receiver rule provides an increase in the guaranteed interference immunity of signal reception in the class of interference with limited average power, compared to the Kotelnikov receiver. The obtained value of the guaranteed error probability improves the actual upper bound for this quantity.