2. Text Correction
There was an error in the original publication. “Blind detector” is incorrect and should be replaced throughout with “data aided detector”.
1. A correction has been made to Abstract:
“The information rates are computed for pilot-aided channel estimation and data-aided channel estimation.”
2. A correction has been made to 1. Introduction, 1.2. Discrete Signaling and OFDM, Paragraph Number 1:
“For this purpose, we consider two types of channel estimation at the receivers: pilot-aided channel estimation via pilot-aided transmission (PAT) and data-aided channel estimation.“
3. A correction has been made to 1. Introduction, 1.3. Contributions and Organization, Bullet Point Number 4:
“We develop an auxiliary channel model to compute achievable rates for pilot-aided and data-aided channel estimation. The models let one compare modulations, precoders, channels, and receivers;”
4. A correction has been made to 4. Performance Metrics, 4.1. Achievable Rates, Paragraph Number 2:
“We study the GMI of two non-coherent systems: classic PAT and data-aided channel estimation. For both systems, we apply memoryless signaling with the product distribution”
5. A correction has been made to 4. Performance Metrics, 4.1. Achievable Rates, Paragraph Number 5:
“For the data-aided detector we replace 𝑆𝑝 with 𝑆 in (20).”
6. A correction has been made to 4. Performance Metrics, 4.1. Achievable Rates, Paragraph Number 6, Bullet Point 3:
“For the data-aided detector, in (21) we replace S𝑝 with the set of all index pairs (ℓ,𝑚), and we replace 𝑆𝑝 with 𝑆;”
7. A correction has been made to 4. Performance Metrics, 4.1. Achievable Rates, Paragraph Number 5, Bullet Point 4:
“For the data-aided detector we set S𝑝 = ∅ in (22);”
8. A correction has been made to 4. Performance Metrics, 4.2. Discussion, Paragraph Number 1:
“Third, as 𝑆 grows, the channel estimate of the data-aided detector becomes more accurate and the performance approaches that of a coherent receiver. Related theory for PAT and large 𝑆 is developed in [49]. However, the PAT rate is generally smaller than for a data-aided detector because the PAT channel estimate is less accurate and because PAT does not use all symbols for data.”
9. A correction has been made to 4. Performance Metrics, 4.2. Discussion, Paragraph Number 2:
“We remark that blind channel estimation can approach the performance of data-aided receivers for large 𝑆. Blind channel estimation algorithms can, e.g., be based on high-order statistics and iterative channel estimation and decoding.”
10. A correction has been made to 5. Numerical Results, Paragraph Number 2:
“The average GMIs for Systems A–C were computed using 𝑆 = 256, 𝐵 = 200, and a data-aided detector. The coded results of System D instead have 𝑆 = 1584 symbols to fit the block structure determined by the LDPC encoder. For System D we considered both PAT and a data-aided detector.”
11. A correction has been made to 5. Numerical Results, Paragraph Number 7:
“The solid curves are for data-aided channel estimation and the dotted curves show the performance of PAT when the fraction of pilots is 𝑆𝑝/𝑆 = 10%.”
12. A correction has been made to 6. Conclusions, Paragraph Number 1:
“The performance was analyzed by computing the GMI for two auxiliary channel models: one model for pilot-aided channel estimation and a second model for a data-aided channel estimation.”
The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.