Page 281 - Phase-Locked Loops Design, Simulation, and Applications
P. 281

MIXED-SIGNAL PLL APPLICATIONS PART 2: FRACTIONAL-N FREQUENCY
             SYNTHESIZERS   Ronald E. Best                                                          167


















































                      Figure 7.5 An example of a simple oversampling ADC. (a) A block diagram of a one-bit
                              ADC. (b) The transfer characteristic of the one-bit ADC. (c) A mathematical model
                              of the one-bit ADC. (d) A one-bit ADC with preprocessing (F) and postprocessing
                              (G) function blocks.

               The quantized output can now be represented as the sum



                                                                                         (7.1)

             where e is called quantization error. This equation is shown graphically in Fig. 7.5b. U  is the
                                                                                                 A
             dotted curve, and e is represented by an arrow. As is easily seen, the quantization error is in
             the range



                                                                                         (7.2)
   276   277   278   279   280   281   282   283   284   285   286