Krahasoni metodat
Shqyrtoni metodat e zgjedhura krah për krah; rreshtat që ndryshojnë janë të theksuar.
| Barazimi me Zero-Forcing dhe Mesataren Minimum të Katrorit të Gabimit (MMSE)× | Kodet me paritet me densitet të ulët (LDPC)× | Teorema e Kapasitetit të Kanalit të Shannonit× | |
|---|---|---|---|
| Fusha | Telekomunikacionet | Telekomunikacionet | Telekomunikacionet |
| Familja | Process / pipeline | Process / pipeline | Process / pipeline |
| Viti i origjinës≠ | 1974 | 1962 | 1948 |
| Krijuesi≠ | Saleh Mansour and Paul Zervos | Robert Gallager | Claude Shannon |
| Lloji≠ | linear equalization algorithm | linear error-correcting code | fundamental theoretical bound |
| Burimi themelues≠ | Proakis, J. G. (2001). Digital Communications (4th ed.). McGraw-Hill. link ↗ | Gallager, R. G. (1962). Low-density parity-check codes. IRE Transactions on Information Theory, 8(1), 21-28. DOI ↗ | Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423. DOI ↗ |
| Emërtime të tjera | channel equalization, interference cancellation | sparse codes, belief propagation codes | channel capacity, information theory bound |
| Të lidhura | 5 | 5 | 5 |
| Përmbledhja≠ | Zero-Forcing (ZF) and Minimum Mean-Square Error (MMSE) equalization are fundamental linear receiver algorithms for combating intersymbol interference in dispersive channels. Developed in the context of data transmission theory, these methods form the basis of modern channel equalization in wireless and wired systems. While ZF aggressively cancels interference, MMSE balances interference suppression with noise enhancement, making it the optimal linear solution under Gaussian noise. | 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. | 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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