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A channel with feedback is illustrated in Figure 7.13. We assume that all the received symbols are sent back immediately and noiselessly to the transmitter, which can then use them to decide which symbol to send next. Can we do better with feedback The surprising answer is no, which we shall now prove. We de ne a (2nR , n) feedback code as a sequence of mappings xi (W, Y i 1 ), where each xi is a function only of the message W 2nR and the previous received values, Y1 , Y2 , . . . , Yi 1 , and a sequence of decoding functions g : Yn {1, 2, . . . , 2nR }. Thus, Pe(n) = Pr g(Y n ) = W , when W is uniformly distributed over {1, 2, . . . , 2nR }. De nition The capacity with feedback, CFB , of a discrete memoryless channel is the supremum of all rates achievable by feedback codes. Theorem 7.12.1 (Feedback capacity) CFB = C = max I (X; Y ).

EXIT charts are generated for the decoding operation of one of the constituent decoders of a turbo code. Since the mathematical complexity of the LOG MAP BCJR decoding algorithm is very high, then the analysis for EXIT charts is derived by Monte Carlo simulation over the parameters of interest. Monte Carlo simulations of the operation of a LOG MAP BCJR decoder allow us to af rm that the values of the a priori information A are independent and uncorrelated from the observations or sampled values of the channel Y . On the other hand, the probability density function, or more exactly, the histogram of the values of the extrinsic information E generated by the LOG MAP BCJR decoder, is a Gaussian histogram (equivalent for the continuous case to a Gaussian probability density function). It is also true that these values become the a priori values for the next iteration, so that a similar conclusion can be stated for the probability density function of the a priori information. The following gures show non-normalized histograms of the extrinsic information values generated by Monte Carlo simulation of the operation of a LOG MAP BCJR decoder for the turbo code of Example 7.4. Figure 7.23 shows the non-normalized histogram of extrinsic estimates for the input 0 , which is proportional to the probability density function denoted as p E ( /x = 1), and Figure 7.24 shows the non-normalized histogram of extrinsic estimates for the input 1 , which is proportional to the probability density function denoted as p E ( /x = +1). Histograms are shown for different values of the parameter E b /N0 = 0.5, 1.0, 1.5 and 2.0 dB.

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Journal of Abnormal and Social Psychology, 33, 414 420 Hale, N G (1971) Freud and the Americans: The beginnings of psychoanalysis in the United States, 1876 1917 New York: Oxford University Press Hall, C S, & Lindzey, G (1957) Theories of personality New York: Wiley Hall, G S (1904) Adolescence: Its psychology and its relations to physiology, anthropology, sociology, sex, crime, religion and education (Vols 1 2) New York: D Appleton Healy, J M, Jr, & Stewart, A J (1991) On the compatibility of quantitative and qualitative methods for studying individual lives In R Hogan (Series Ed), A J Stewart, J M Healy Jr, & D J Ozer (Vol Eds), Perspectives in personality: Approaches to understanding lives, Vol 3, Part B (pp 35 57) Bristol, PA: Jessica Kingsley Healy, W (1915).

MBMS reference architecture [39].

The collector current can also be represented as a function of the product of the collector-toemitter transport factor and the generation current entering the base electrode, IC aIE Igen

Gmail is a bit greedy here. There are ample opportunities to import contacts to the system. As you ve seen, you can do it with comma-separated value files or via the script in Listing 12-1. But if you want to get your contacts out again, and into a desktop address book, you re stuck. Not quite. In Listing 12-3, there s a script to export your contacts into a large vCard file. All the modern address book or e-mail clients will be able to understand the vCard file, and re-import your addresses. It s also useful for backups, if you ever get wary of Google s ability to do that for you. Here s the listing, and then you ll see how it works. Listing 12-3: Exporting Contacts as vCards

The individual delinquent: A text-book of diagnosis and prognosis for all concerned in understanding offenders Boston: Little, Brown..

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