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and perform hard decoding to obtain the decoded output word ĉ[13, 19] ĉ n = 0 ⇐ L Q n > 0 1 ⇐ L Q n < 0. (8).
Figure 6 PER and complexity for setup with rotated Walsh-Hadamard spatial spreading ( C = Ψ N s ) using hard decoding.
Figure 5 PER and complexity for setup without spatial spreading ( C = I N s ) using hard decoding.
To analyze the impact of security Factor 4 described in Section 4.2, BER of the receiver is also compared to that of an eavesdropper using a single MF and exhaustive ML hard decoding.
In Figure 7, hard decoding BER versus SNR (defined here as the ratio between the average energy per transmitter symbol and the noise variance at the receiver) is depicted for the JCMA setting and compared to TDMA.
For hard decoding, each table entry denotes the decoded bits of TX1, TX2, and TX3 from left to right, respectively.
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With a bit decision threshold β, the corresponding bit WID n can also be hard decoded to 0 or 1 according to Equation (4).
Implementation and the performance measurement results have shown that an RNN decoder for hard-decision decoding coupled with a simple hard-limiting neuron activation function results in a very low complexity, which easily fits into standard Altera FPGA.
Even if signals were being transmitted, we may not know how to decode them – just as an old-fashioned radio engineer familiar only with amplitude-modulation might have a hard time decoding modern digital communications.
The hard decision decoding at the receiver was considered.
Ω e denotes the expectation value of the number of errors after FF hard decision decoding.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com