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What is full diversity?

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honhungoc

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full diversity

Hi

Can anyone here tell me abt full diversity?

Thank u
 

honhungoc said:
Hi

Can anyone here tell me abt full diversity?

Thank u

Dear honhungoc

your quetion is very general and carry alot of meanings. Could you explain your question more?
 

Yes, I also know that its quite general. But when i read book, its only mentioned that "space time code block provide full diversity". Therefore I dont know how should I understand this concept
 

honhungoc said:
Yes, I also know that its quite general. But when i read book, its only mentioned that "space time code block provide full diversity". Therefore I dont know how should I understand this concept

What do you mean Bro?
Just need more specific clue guys
 

Full diversity means that the capacity increases N times for a NXN MIMO system which is achieved by using the space-time block or the space-time Trellis coding. However, the full diversity gain could be achieved only for a limited cases. Receive diversity only achieves logN capacity.
 

In the context of Space Time Coding, full diversity refers to the fact that each transmitted symbol will experience all the independent paths in the system to the receiver. In other words, you have M transmit antennas and N receiver antennas and assume all pair-to-pair channels are independent, then your codebook (the coding matrix at transmitter) will have the property that each symbol will be transmitted through all transmit antennas (you will find a symbol, say, s1, appears in every row of the matrix). Thanks to this design principle, the symbol error rate has the form of 1/SNR^{MN} at high SNR. This is the strict defintion of achieving full diversity.
 

In future wireless communication systems, high data rates need to be reliably transmitted over time-varying bandlimited channels. The wireless channel mainly suffers from time-varying fading due to multipath propagation and destructive superposition of signal received over different paths, which make it hard for the receiver to reliably determine the transmitted signal unless some less attenuated replica of the signal are provided to the receiver. Transmitting the replica of the signal is called diversity. It is common for wireless systems to employ both diversity techniques and channel coding for error detection and/or correction. A widely applied technique to reduce the effects of multipath fading is antenna diversity. Usually, multiple antennas are used at the receiver with some kind of combining of the received signals, e.g., maximum ratio combining. However, transmit and receive diversity techniques can be applied in the uplink and/or the downlink.
 
Maximum diversity of the system is the maximum vanishing exponent of SNR in the outage probability.

Any scheme that that achieves the same exponent order is said to achieve full diversity.
 

Algebraic number theory provides effective means to construct rotated Zn lattices with full diversity and large minimum product distance. These two properties enable to design good signal constellations for the independent Rayleigh fading channel. The following tables provide the best known constructions for these lattices in terms of highest minimum product distance
 

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