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| Successive Cancellation Decoding을 이용한 Polar Codes× | 다중 입출력 (MIMO)× | 직교 주파수 분할 다중화 (OFDM)× | 섀넌 채널 용량 정리× | |
|---|---|---|---|---|
| 분야 | 통신공학 | 통신공학 | 통신공학 | 통신공학 |
| 계열 | Process / pipeline | Process / pipeline | Process / pipeline | Process / pipeline |
| 기원 연도≠ | 2009 | 1995 | 1971 | 1948 |
| 창시자≠ | Erdal Arikan | Telatar, Foschini, and Gans | Weinstein and Ebert | Claude Shannon |
| 유형≠ | recursive error-correcting code | spatial multiplexing technique | multicarrier modulation scheme | fundamental theoretical bound |
| 원전≠ | Arikan, E. (2009). Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Transactions on Information Theory, 55(7), 3051-3073. DOI ↗ | Telatar, I. (1999). Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications, 10(6), 585-595. DOI ↗ | Weinstein, S. B., & Ebert, P. M. (1971). Data transmission by frequency-division multiplexing using the discrete Fourier transform. IEEE Transactions on Communication Technology, 19(5), 628-634. DOI ↗ | Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423. DOI ↗ |
| 별칭≠ | channel polarization, recursive codes | spatial multiplexing, antenna diversity | multicarrier modulation | channel capacity, information theory bound |
| 관련 | 5 | 5 | 5 | 5 |
| 요약≠ | Polar codes, introduced by Erdal Arikan in 2009, are the first constructive family of codes proven to achieve the Shannon capacity of symmetric binary-input memoryless channels. They use recursive construction and successive cancellation decoding, a simple greedy algorithm with theoretical guarantees. Polar codes were adopted in 5G NR for control channel coding and are studied for future 6G systems. Unlike turbo and LDPC codes (which are empirical), polar codes provide rigorous theoretical foundations. | MIMO is a technique that uses multiple transmit and receive antennas to significantly increase channel capacity and reliability. Pioneered theoretically by Telatar (1999) and Foschini & Gans (1998), MIMO exploits multipath propagation—typically a liability in wireless—as an asset by creating independent spatial channels. It is now fundamental to all modern wireless systems including LTE, WiFi-6, and 5G, where it provides both capacity gains through spatial multiplexing and robustness through diversity. | OFDM is a multicarrier modulation technique that divides a wideband channel into many narrowband orthogonal subcarriers. Introduced by Weinstein and Ebert in 1971, it exploits the duality between time and frequency domains to efficiently use spectrum while mitigating intersymbol interference in frequency-selective channels. OFDM is now the standard for high-speed wireless systems including WiFi, cellular LTE, and digital broadcasting. | Shannon's channel capacity theorem, published in 1948, establishes the maximum rate at which information can be reliably transmitted over a noisy channel. Expressed as C = B log2(1 + S/N) for additive white Gaussian noise (AWGN), it is a fundamental bound in information theory and communications engineering. Shannon proved that reliable communication is possible at any rate below capacity, and impossible above it. This theorem underpins the design of all modern communication systems and motivates coding theory, modulation, and signal processing techniques. |
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