เปรียบเทียบวิธี

	ทฤษฎีความจุช่องสัญญาณของแชนนอน	รหัสตรวจสอบพาริตีแบบความหนาแน่นต่ำ (LDPC)	ระบบอินพุตเอาต์พุตหลายหน่วย (Multiple-Input Multiple-Output: MIMO)
สาขาวิชา	โทรคมนาคม	โทรคมนาคม	โทรคมนาคม
ตระกูล	Process / pipeline	Process / pipeline	Process / pipeline
ปีกำเนิด	1948	1962	1995
ผู้ริเริ่ม	Claude Shannon	Robert Gallager	Telatar, Foschini, and Gans
ประเภท	fundamental theoretical bound	linear error-correcting code	spatial multiplexing technique
แหล่งต้นตำรับ	Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423.	Gallager, R. G. (1962). Low-density parity-check codes. IRE Transactions on Information Theory, 8(1), 21-28.	Telatar, I. (1999). Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications, 10(6), 585-595.
ชื่อเรียกอื่น	channel capacity, information theory bound	sparse codes, belief propagation codes	spatial multiplexing, antenna diversity
ที่เกี่ยวข้อง	5	5	5
สรุป	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.	LDPC codes, invented by Robert Gallager in 1962 and rediscovered in the 1990s by MacKay, are linear error-correcting codes defined by sparse parity-check matrices. They achieve performance within 0.4 dB of the Shannon limit with iterative belief-propagation decoding and have become the standard for modern wireless (WiFi-6, 5G NR, Digital Video Broadcasting). Unlike turbo codes, LDPC codes have a more elegant graph-theoretic structure and more mature theoretical analysis.	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.