Linganisha mbinu

	Usawazishaji wa Zero-Forcing (ZF) na Minimum Mean-Square Error (MMSE)	Misimbo ya Usahihishaji Makosa ya Msongamano Mdogo (LDPC)	Njia Nyingi za Kuingiza Nyingi za Kutokeza (MIMO)
Nyanja	Mawasiliano ya Simu	Mawasiliano ya Simu	Mawasiliano ya Simu
Familia	Process / pipeline	Process / pipeline	Process / pipeline
Mwaka wa asili	1974	1962	1995
Mwanzilishi	Saleh Mansour and Paul Zervos	Robert Gallager	Telatar, Foschini, and Gans
Aina	linear equalization algorithm	linear error-correcting code	spatial multiplexing technique
Chanzo asilia	Proakis, J. G. (2001). Digital Communications (4th ed.). McGraw-Hill.	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.
Majina mbadala	channel equalization, interference cancellation	sparse codes, belief propagation codes	spatial multiplexing, antenna diversity
Zinazohusiana	5	5	5
Muhtasari	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.	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.