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FIGURE 3.20Entropy of a binary source.Thus, the entropy could be bounded as0 HðX Þlog 2 ðMÞ ð3:65ÞThe information transmission rate can be written asR r ¼ r b HðX Þwhere r b is the data transmission rate (bit=sec).ð3:66ÞConditional Probabilities. Where information is mutually sharedbetween the channel’s input and output, the entropy measurement is conditionalon the quality of information received either way. The entropy is theninterpreted as a conditional measure of uncertainty. Consider a BSC as anexample of a DMC, as seen in Fig. 3.21.The DMC is defined by a set of transition probabilities. The probabilityof transmitting x 1 and receiving y 1 is pðx 1 ; y 1 Þ. By Bayes’ theorem, thisprobability can be rewritten aspðx 1 ; y 1 Þ¼pðy 1 jx 1 Þpðx 1 Þð3:67aÞAlternatively,pðx 1 ; y 1 Þ¼pðx 1 jy 1 Þpðy 1 Þwhereð3:67bÞpðy 1 jx 1 Þ¼probability of receiving y 1 given that x 1 was transmitted.pðx 1 jy 1 Þ¼probability of transmitting x 1 given that y 1 was received.pðx 1 Þ¼probability of transmitting x 1 .pðy 1 Þ¼probability of receiving y 1 .Copyright © 2002 by Marcel Dekker, Inc. All Rights Reserved.
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SatelliteCommunicationEngineeringMi
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This book is dedicated to my famili
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Because of the immense importance o
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means of a combination of applicati
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about my promise to my students, an
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2.3 Coverage Area and Satellite Net
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1Basic Principles of SatelliteCommu
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and voice (telephone) communication
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FIGURE 1.2Communication between two
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interpreting or uncovering the deci
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cryptographic keys K ti (where i ¼
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FIGURE 1.6Block ciphering technique
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FIGURE 1.7Part of block ciphering w
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Based on the ordering sequence of (
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TABLE 1.1 (continued )S612 1 10 15
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For an uncoded message x and the fe
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2. Your task is to develop a commun
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FIGURE 2.1Geometry of a satellite.
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Future trends in satellite antennas
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In the United States, the three sat
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TABLE 2.3Typical Links Frequency Ba
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FIGURE 2.4Satellite period and orbi
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FIGURE 2.6An illustration of covera
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FIGURE 2.7constellation.A sketch of
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width of 1:73 with reduced coverag
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y ¼ elevation angle of satellite f
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We can conclude that the antenna mu
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FIGURE 2.9Design flowchart of a sat
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Risk control and monitoring measure
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TABLE 2.4Antenna Selection Criteria
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Then the system availability can be
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In fact, MTBF is the reciprocal of
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2.7 ANTENNASBased on function, sate
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Two kinds of horns in common use ar
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FIGURE 2.13Geometry of a parabolic
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FIGURE 2.14 Axisymmetric reflector
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A transceiver antenna is a single a
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The gain, in the axial mode, of a h
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angles, spacecraft may shadow the s
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3. The probability of both parallel
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the baseband signal (more details a
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matrix in the communications subsys
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FIGURE 2.24Typical transfer charact
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4. Iridium LCC (1997). Iridium Syst
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3Earth StationsIn Chap. 2 we discus
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The most popular forms of modulatio
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Small earth stations are antennas w
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FIGURE 3.2BPSK space diagram.Instea
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OQPSKOffset QPSK (OQPSK) is a modif
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FIGURE 3.7An 8-PSK space diagram.an
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aud. The word ‘‘baud’’ hono
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Noise power density N 0bandwidth:N
Page 210: We observe in (3.11) that E b =N 0
Page 214: to (3.23) shows that a margin of 11
Page 218: FIGURE 3.12 Principle of scrambling
Page 222: Equalization FilterAn equalization
Page 226: that is, N zeros at the top and bot
Page 230: Example 3.2: Consider a transmissio
Page 234: which can be written as89>=R xy ðt
Page 238: ecause a voice signal is usually hi
Page 242: systems is discussed in Sec. 4.2. O
Page 246: where T e is the equivalent tempera
Page 250: operating principle of all directio
Page 254: performance of the satellite commun
Page 258: 3. For two independent sources, wit
Page 264: whereHðYÞ¼output entropy, the av
Page 268: To have a feel for this expression,
Page 272: 2. The system’s overall condition
Page 276: transmitted down the fiber as digit
Page 280: 10. Kantor, L. Y. (ed). (1987). Han
Page 284: 142. Simulate the probability of bi
Page 288: FIGURE 4.1A simplex link.baseband c
Page 292: Chapter 2, Sec. 2.7, discusses that
Page 296: From (4.6), the received power P r
Page 300: FIGURE 4.3A model of the combined-l
Page 304: 4.1.2 Rain AttenuationRain attenuat
Page 308: FIGURE 4.5rates.Average rainstorm p
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FIGURE 4.6Adjacent satellite interf
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FIGURE 4.8Satellite separation dist
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inability of satellite A to accurat
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FIGURE 4.10 Cross-link E b =N 0 vs.
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Then using (4.41), the overall C=N
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(iv)(v)(vi)(vii)Calculate the recei
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5Communication Networks andSystemsC
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discriminate among carriers by temp
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FIGURE 5.2 Principle of FDMA system
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FIGURE 5.3 Operational concept of T
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FIGURE 5.5TDMA: bit rate r b for 1
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Copyright © 2002 by Marcel Dekker,
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5.2 CAPACITY COMPARISON OFMULTIPLE-
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Rearranging (5.11) in terms of ener
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The transmission bit rate isR r ¼
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6Error Detection and CorrectionCodi
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the channel and reconstruct the sou
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message sequence X . Thus, a system
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If we consider a message X ¼ð1010
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can be seen in Table 6.1 that the m
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FIGURE 6.1A (7, 4) cyclic code gene
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FIGURE 6.2Convolutional codes encod
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Alternative methods of describing a
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FIGURE 6.5 Code tree diagram of Fig
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FIGURE 6.8 Code tree diagram of rat
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consistent with the constraint leng
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trellis depth is approximated to 5L
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FIGURE P.1A convolutional coder.the
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7Regulatory Agencies andProceduresT
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of the radiofrequency spectrum, and
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The CCIR works through the medium o
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7.1.3 IFRBThe International Frequen
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The national or regional spectrum m
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3. The need to expand or enhance th
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The DSP will be responsible for res
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2. Provide a convenient framework w
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FIGURE 8.3Types of user-to-network
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H1-channels are designed to carry v
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information. The transfer cell prov
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The OSI layers are divided into two
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plane is denoted by U, the control
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interfacing, maintenance, and conne
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adjoining base station to scan the
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FIGURE 8.9Geometry of a polygon.The
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FIGURE 8.11Splitting cells into sma
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causes signal fading. Of course, th
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FIGURE 8.14TCP=IP suite and its rel
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access to an Internet point of pres
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message security via satellite is d
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REFERENCES1. Wu, W.W. (1989). Eleme
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Appendix ANotationsThe symbols have
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N sPP rP sP TRRðtÞR cR eR rR vSS
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g Central anglez Channel gainZ Ante
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AttenuationBandwidthBearer serviceB
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Frequency divisionmultiple accessFr
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MultiplexingNetworkOmnidirectionala
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UplinkUser-to-networkinterfaceThe e
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