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                                                                    Communications
                         c. Will we still be in contact with the spacecraft when it flies beyond the
                           farthest reaches of Pluto? (apluto = 5.9 x lo9 km, epluto = 0.25)
                       4. An  FM radio station wishes to transmit baseband frequencies from 20
                         to  20,000 Hz  in  order to broadcast good  quality music. The station
                          wants to transmit digitally (by first converting the baseband signal to a
                         digital signal) using byte-sized digital words.
                         a. Determine the number of Q-levels the signal may be assigned values
                            from.
                         b. What is the minimum sampling frequency (and associated sampling
                            period) that may be used?
                         c. Determine the  bit  period, the  transmission rate, and  the minimum
                            carrier frequency that might be used to transmit the music.
                         d. Can the current  frequency range  assigned to  FM  broadcasting be
                            used by this station? (Explain.)
                       5. The Army and Marine Corps would like to have the capability for satel-
                         lite communications with ground  forces using a portable transceiver.
                         Such a  radio  would  have  a  small  (1  meter)  diameter parabolic  dish
                         antenna with a low efficiency (0.5). Maximum transmitted power would
                         be 2 watts. The soldier would like to be able to transmit to a geostation-
                         ary satellite down to 5 degrees elevation angle (v = 5"  [described in
                         Chapter 61, klmt-max = 41,126.7 km). The satellite has a 5-meter diam-
                         eter parabolic dish (efficiency = 0.9) and uses deep space as a heat sink
                         to keep the receiver cooled to 75°K. Up-link frequency is 30 GHz and
                         worst case (\v = 5") incidental losses are 4 dB. Consider the antennae as
                         being able to boresight on each other during communications, and deter-
                         mine the minimum signal-to-noise ratio the satellite will have to be able
                         to handle for a successful link. While showing your calculations for the
                         link budget, put a box around the following parameters:
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