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We consider a single user system where all the available subcarriers in the system are occupied by the single user.
For a single user system, the authors in [15] showed that both ZF and MMSE provide the same spatial diversity order.
A suboptimal power allocation scheme is proposed in [8] for a single user system with multiple transmit antennas and single receive antenna with finite rate feedback power control.
A receiver with a symbol-level linear MMSE equalizer will be examined to jointly optimize the transmission energy allocation and the receiver for a single user system either with or without a SIC.
However, a limitation of HE is it is a single user system, which means it only allows the party that owns a homomorphic decryption key to decrypt processed ciphertexts.
First, a single user system is considered, i.e., M=1. Figure 9 depicts the frame error rate (FER) at the destination for the common detection scheme (cDF) and the proposed RAID scheme for different code rates R c,rep over flat ( L=1, solid) and frequency selective channels (L=4, dashed).
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The result shows that there is an SNR gain for a single-user system.
The procedure to obtain these rates, based on the effective bandwidth theory [13], is similar to some previous results in a single-user system [11].
The HRES extends partial HE from a single-user system to a multi-user one by offering ciphertext re-encryption to allow multiple users to access processed ciphertexts.
One is the asymptotic error performance (in terms of SNR) in a single-user system, and the other is the asymptotic system capacity (in terms of the number of users) in the multiuser scenario when multiuser diversity is exploited.
At the premise of knowing the result of the subcarrier assignment, the power allocation of Multiuser system can be virtually regarded as a single-user system and therefore the single-user power allocation algorithm GPM mentioned in last section can be utilized.
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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