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APPENDIX E Frequency response analysis of linear systems    295




                          1.0
                                                 DENOTES HARMONIC FREQUENCY
                                                BASIS – SAME TOTAL DURATION
                          0.5                         FOR ALL SIGNALS




                          0.2


                      ENERGY/[T X (PULSE AMPLITUDE) 2 ]  0.05        63 –BIT
                          0.1








                         0.02



                         0.01
                                      7 –BIT                            31 –BIT


                        0.005




                        0.002



                        0.001
                             1                         10                       100
                                                  Harmonic
                  FIG. E.11
                  Frequency spectra for several PRBS signals [4].


                     A shift register operates by moving the contents of each register (0 or 1) to the
                  next register to the right at each shift. This operation empties the left-most register.
                  Feedback involves moving the sum (modulo two) of contents to the left-most regis-
                  ter. For example, consider a three-register arrangement with adder feedback from
                  registers 1 and 3. The initial contents of the registers are all set equal to 1 in this
                  example. Operation of the system results in the following:
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