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One LDPC code is of a relatively small size, with parity check matrix H 1 of 30 rows and 60 columns, whereas the other code, extracted from MacKay s website [26], is a medium-size LDPC code, with parity check matrix H 2 of 504 rows and 1008 columns Look-up tables were constructed using numerical representations of c = 16 bits, so that the maximum number of entries in these tables is Nt = 2c = 65,536 Simulations show that small look-up tables of 256 entries can be used without producing a signi cant loss in the BER performance of these LDPC codes.

An analysis of decoding complexity determines that if n is the number of columns of the parity check matrix H corresponding to a given LDPC code, and s is the average number of 1 s per column in that matrix, the traditional sum product algorithm requires the calculation of 6ns products and 5ns sums In the case of the logarithmic algorithm, the calculation of 14ns sums and 3ns subtractions is required It is seen that the logarithmic decoder requires more sums than that of the traditional algorithm, but it should be taken into account that there is no need of performing products, which are essentially implemented as a considerable number of sums in most of the practical implementations of this operation Overall, the complexity of the logarithmic decoding algorithm is much less than that of the traditional sum product algorithm..

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Note: The Property inspector uses the units specified for the Ruler Units option in the Document Properties dialog box. To change the units, see Using the Property inspector to change document attributes on page 24.

where 1 , 2 , . . . , n are the eigenvalues of KZ and is chosen so that + i ( i ) = P . Capacity without feedback Cn = tr(KX ) nP max |K + KZ | 1 log X . 2n |KZ | (9.167)

In comparison with the UTM projection, it gives horizontal bands rather than vertical ones. France is divided into the three abovementioned zone, as shown in Fig. 2.21. The coordinates of point M described in the UTM section are now (zone II) 2N 187,200 m with respect to the origin and 2E 545,600 m, also with respect to the origin.

In this chapter, you saw a simple example of a collapsible table of contents, along with a cross-browser version of moving text. Some of the properties should have looked familiar to you, but you saw them used in new ways. The complete working examples in this chapter can be used as a jumping-off point for your own dynamic Web pages. With all this exposure to JavaScript, you are well-armed to make your pages dance. If you want to script your pages to the hilt, though, be well-advised to consult the resources on the Web for additional techniques and pitfalls waiting for you. Scripting exclusively for one browser may be easier, but your efforts will go unappreciated by a great many viewers.

Note: Many results on positive and negative (semi) definite matrices including proofs can be found in Horn & Johnson (1985, 7) and other books on matrices. See also 4 for results related to traces and determinants of defini te matrices. For Aitken's integral see Searle (1982, p. 340) and for the decomposition results see 6. Since positive (negative) definite and semidefinite matrices are Hermitian, all results for the latter also hold for the former matrices (see Section 9.7).

The receiving report is used to verify that the goods being received are the goods requested and should be checked item by item against the invoice. The person or persons responsible for receiving should weigh products purchased by weight, count cased goods, and confirm that each case is full. As discussed in item 9 of the preceding section on preparing written procedures, prepare a credit memorandum invoice listing the items missing or returned. Obtain the delivery driver s signature acknowledging he or she is returning with the noted items. Staple the credit memorandum to the original invoice. A sample receiving report for food and beverages is illustrated in Exhibit 5.8 for multi-department organization. A report such as this should be completed daily and sent at the end of each day with accompanying invoices to the accounting office.

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