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1、The objective of this work is to investigate network coding design in wireless cooperativenetworks.Along this line, our work can be divided into following subjects:
   (i)Compute-and-forward strategy is one category

2、of network coding in which a relay will decode andforward a linear combination of source messages according to the observed channel coefficients, based on the algebraic structure of lattice codes.The destination will rec

3、overall transmitted messages if enough linear equations are received.For multi-source multirelay wireless cooperative channels, we design in a system level, the compute-and-forwardnetwork coding coefficients by Fincke-Po

4、hst based candidate set searching algorithm andnetwork coding system matrix constructing algorithm, such that by those proposed algorithms, the transmission rate of the multi-source multi-relay system is maximized.Numeri

5、cal results demonstrate the effectiveness of our proposed algorithms.
   (ii)Wc consider the two-way relay channel (TWRC) of wireless cooperative system with compute-and-forward network coding strategy.First a new le

6、mma is proposed as network codessearch criteria for TWRC.Then, instead of exhaustive search, we present an efficientnetwork codes search algorithm based on modified Fincke-Pohst method.Numerical results demonstrate the e

7、ffectiveness and complexity reduction of our proposed lemma andalgorithm.
   (iii)Based on the idea of compute-and-forward, integer forcing (IF) linear receiver architecture is for MIMO system to recover different in

8、teger combinations of latticecodewords for further original message detection.In our work, we consider the problem ofIF linear receiver design with respect to the channel conditions.We present practical andefficient algo

9、rithms to design the IF coefficient matrix with full rank such that the totalachievable rate is maximized, based on the slowest descent method.Numerical resultsdemvonstrate the effectiveness of our proposed algorithms.

10、r>   (iv)We consider network coding application in wireless multiple access relay channels with multiple-antenna relays.We investigate several different relay techniques applicable for different system models,including

11、decode-and-forward (DF), space-time decode-and-forward (STDF), analog network coding (ANC), space-time analog network coding (STANC), digital network coding(DNC), etc.We describe in details those different schemes in dif

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