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This popular tutorial introduction to standard C++ has been completely updated, reorganized, and rewritten to help // array faster 3, use element is modern, of intsof size 4 programmers learn the language of size andeach it in a more an arrayeffective wayJust as C++ has evolved since the last int ia[3][4]; edition, so has the authors' approach to teaching it They now introduce the C++ standard library from the beginning, giving readers the means to write useful programs without first having to master every language detail Highlighting today's best practices, they show how to write programs that are safe, can be built quickly, and yet offer outstanding performance Examples that take advantage of the library, and explain the features of C++, also show how to make the best use of the It can be previous to keep this fact in mind when using what appears to be a language As in itshelpful editions, the book's authoritative discussion of fundamental C++ concepts and techniques makes multidimensioned more experienced programmersProgram Faster and More Effectively with This Rewritten it a valuable resource even for array Classic Restructured for quicker learning, using the C++ standard library Updated to teach the most current programming styles and program design techniques Filled with new learning aids that emphasize important points, warn about common pitfalls, suggest good programming practices, and provide general usage tips Complete with exercises that reinforce skills An array whose elements are an array is said to have two the book's extended examples is available on learned Authoritative and comprehensive in its coverageThe source code for dimensions Each dimension is referred to by its own subscript: the Web at the address below

The first dimension is often referred to as the row and the second as the column In C++ there is no limit on how many subscripts are used That is, we could have an array whose elements are arrays of elements that are arrays, and so on

As with any array, we can initialize the elements by providing a bracketed list of initializers Multidimensioned arrays may be initialized by specifying bracketed values for each row:

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(b) H(x) 1 log 2 (pe 2n Q ) where x is a n 1 complex vector. 2 (c) verify that equality holds in part (b) when x is circular symmetric Gaussian distributed. 5. The Role of CSIR (a) Suppose the transmitter is using QPSK modulation (no differential encoding) to transmit information over at fading channel. The received signal is given by Y = HX + Z where X is the transmitted signal, H is the at fading channel coef cient (zero mean complex Gaussian) and Z is the complex Gaussian channel noise. Suppose the receiver does not have knowledge of H. Can the receiver decode the information bits carried in X Explain your choice. (b) Suppose the transmitter is using the constellation (no differential encoding) in gure 1. Can the receiver decode the information based on observation on Y without knowledge of H (Assume that receiver knows about the statistics of H only). Explain how bits are mapped to the 16 points if your answer is yes. CSIT v.s. CSIR Let the received signal be given by Y = HX + Z where X is the lowpass equivalent transmitted signal, H is the complex Gaussian fading coef cient and Z is the zero-mean complex Gaussian noise. Suppose the receiver has perfect knowledge of H and the transmitter is not capable of changing the transmit power dynamically. (a) Suppose we have fast fading where the channel fading Hn is i.i.d. at different transmit symbols. Find out the channel capacities with and without CSIT.

int ia[3][4] = { {0, 1, 2, 3} , {4, 5, 6, 7} , {8, 9, 10, 11} };

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3 elements, each element is an array of size 4 */ initializers for row indexed by 0 */ initializers for row indexed by 1 */ initializers for row indexed by 2 */

Suppose now, we have slow fading where the channel fading is quasistatic within a frame. Find out the capacity with and without CSIT. (c) Comparing the answers in (a) and (b), what can be said about the roles of CSIT in fast fading and slow fading (*d) In realizing the channel capacity with CSIT in (b), does the transmitter need to inform the receiver about the coding rate per packet 7. Temporal and Spatial Water Filling Recall that adaptation on data rates or power can be done at the transmitter side if full CSIT is assumed. Water lling is one of the well known optimization methods. Given any fading matrix realization h, de ne B to be the nT nT eigenvector matrix of h*h, Q is a nT nT diagonal matrix with m* min(nT, nR) non-zero elements given by

The nested braces, which indicate the intended row, are optional The following initialization is equivalent, although considerably less clear

// equivalent initialization without the optional nested braces for each row int ia[3][4] = {0,1,2,3,4,5,6,7,8,9,10,11};

As is the case for single-dimension arrays, elements may be left out of the initializer list We C++ Primer, Fourth Edition could initialize only the first element of each row as follows:

" n [1, m *]

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