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The upper sidebands are selected by means of filters and then combined to form the final three-channel multiplexed signal The three-channel FDM pregroup signal can be represented by a single triangle, as shown in Fig 93b To facilitate interconnection among the different telecommunications systems in use worldwide, the Comit Consultatif Internationale de T l graphique et T l phonique (CCITT) has recommended a standard modulation plan for FDM (CCITT G322 and G423, 1976) The standard group in the plan consists of 12 voice channels One way to create such groups is to use an arrangement similar to that shown in Fig 93a, except of course that 12 multipliers and 12 sideband filters are required In the standard plan, the lower sidebands are selected by the filters, and the group bandwidth extends from 60 to 108 kHz.

As an alternative to forming a 12-channel group directly, the VF channels may be frequency-division multiplexed in threes by using the.

Since 1994, the CCITT has been reorganized by the International Telecommunications Union (ITU) into a new sector ITU-T.

(a) Three-channel frequency-division multiplex scheme; (b) simplified repre-

Though total costs are very important, per-unit or average costs are even more important in the short-run analysis of the rm. The short-run per-unit costs that we consider are the average xed cost, the average variable cost, the average cost, and the marginal cost. Average xed cost (AFC) equals total xed costs divided by output. Average variable cost (AVC) equals total variable costs divided by output. Average cost (AC) equals total costs divided by output; AC also equals AFC plus AVC. Marginal cost (MC) equals the change in TC or the change in TVC per unit change in output. Example 12.2 Table 12.1 presents the AFC, AVC, AC, and MC schedules derived from the TFC, TVC, and TC schedules. The AFC schedule (column 5) is obtained by dividing TFC (column 2) by the corresponding quantities of output produced (Q in column 1). The AVC schedule (column 6) is obtained by dividing TVC (column 3) by Q. The AC schedule (column 7) is obtained by dividing TC (column 4) by Q. The MC schedule (column 8) is obtained by subtracting successive values of TC (column 4) or TVC (column 3). Thus, MC does not depend on the level of TFC. Table 12.1

CHAPTER 1 THE VBA INTEGRATED DEVELOPMENT ENVIRONMENT (VBAIDE)

arrangement shown in Fig. 9.3a. The four 3-channel-multiplexed signals, termed pregroups, are then combined to form the 12-channel group. This approach eases the filtering requirements but does require an additional mixer stage, which adds noise to the process. The main group designations in the CCITT modulation plan are: Group. As already described, this consists of 12 VF channels, each occupying a 4-kHz bandwidth in the multiplexed output. The overall bandwidth of a group extends from 60 to 108 kHz. Supergroup. A supergroup is formed by FDM five groups together. The lower sidebands are combined to form a 60-VF-channel supergroup extending from 312 to 552 kHz. Basic mastergroup. A basic mastergroup is formed by FDM five supergroups together. The lower sidebands are combined to form a 300-VF-channel basic mastergroup. Allowing for 8-kHz guard bands between sidebands, the basic mastergroup extends from 812 to 2044 kHz.

Super mastergroup. A super mastergroup is formed by FDM three basic mastergroups together. The lower sidebands are combined to form the 900-VF-channel super mastergroup. Allowing for 8-kHz guardbands between sidebands, the super mastergroup extends from 8516 to 12,388 kHz. In satellite communications, such multiplexed signals often form the baseband signal which is used to frequency modulate a microwave carrier (see Sec. 9.6). The smallest baseband unit is usually the 12-channel VF group, and larger groupings are multiples of this unit. Figure 9.4 shows how 24-, 60-, and 252-VF-channel baseband signals may be formed. These examples are taken from CCITT Recommendations G322 and G423. It will be observed that in each case a group occupies the range 12 to 60 kHz. Because of this, the 60-VF-channel baseband, which modulates the carrier to the satellite, differs somewhat from the standard 60-VF-channel supergroup signal used for terrestrial cable or microwave FDM links.