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17) are utilized. Their details are stated below. 1. Generate effective channels (n) Gk = Hk I + ∑ − 21 (n) H †j S j H j , k ∈ κ (n) . 18) j=k 2. , Tr (Sk ) ≤ Pk with k ∈ κ (n) , where t = 14 , 24 , 34 , 1. 19) 3. Update step: Due to t ∗ = max{arg max f0 4 t∈{ 4i }i=1 Sk,t k∈κ (n) }, and the function f0 having been defined above, we may know that f0 is concave. Hence, the golden section principle [10] is used for searching t ∗ . Its detail is provided as follows. 1st Step. Assume that a = 1/4, b = 1, a1 = a + 14 , b1 = b − 14 .

4. 27) in Algorithm IGWF-MAC, parallel processing can be utilized for more efficient computations. 5. The golden section principle in Step 2 of Algorithm IGWF-MAC is utilized twice. 14). For the second time, it is used efficiently to speed up convergence of the algorithm and to improve performance of the algorithm, although it may seem to only compute t ∗ quickly. This point will be observed from the numerical experiments in Sect. 5. 6. IGWF-MAC is a simple and effective algorithm due to its corresponding objective function V β γ (n) + (1 − β ) p(n−1) being concave in the scalar variable β .

14). 17), the covariance update steps can be denoted by the mapping f: (n+1) K Sk k=1 =f (n) K Sk k=1 . 26 3 RRM in MIMO System With the assumptions and the concepts introduced, a new iterative water-filling algorithm, IGWF-MAC, is concisely proposed as follows. Algorithm IGWF-MAC: (0) K = 0. 1. Initialize Sk 2. Compute k=1 (n+1) K Sk k=1 =f (n) K Sk k=1 . Then n = n + 1. 3. Repeat the procedure (2) mentioned above until the sum capacity converges. 3. 17) are utilized. Their details are stated below.

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AN 08-10-112 BC-348-J,N,Q Radio Receiver (maintenance)


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