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Source: Complete Wireless Design




                                                                                       Chapter
                                                                                        4







                                                               Oscillator Design













                        Oscillator design is perhaps one of the least understood practices of wireless
                        engineering in general, and is definitely considered to be the most complex.
                        Indeed, until Randall W. Rhea released his groundbreaking book Oscillator
                        Design and Computer Simulation in 1990, oscillator design was strictly a hit-
                        or-miss affair for many engineers. As anyone in RF is well aware, it is quite
                        easy to design an oscillator—just design a poor amplifier and turn on the
                        power, and it will probably begin to oscillate. But the problem is to design an
                        oscillator that will oscillate at the desired frequency and amplitude, that will
                        start reliably and not wander, that will not be plagued with spurious
                        responses and harmonics, that will not be excessively affected by normal
                        changes in temperature, and that will be consistent in operation when built
                        over a long production run.
                          This chapter will concentrate on the design, simulation, and verification of
                        voltage-controlled oscillators (VCOs),  LC oscillators, and crystal oscillators
                        over a wide range of frequencies. But first, a memory refresher on basic oscil-
                        lator theory.

                        Sine-wave oscillators. When a pulse is applied to a tank circuit, it will ring
                        at the tank’s resonant frequency, creating a decaying sinusoidal wave (Fig.
                        4.1). But if amplification from an active device, such as a transistor, is used
                        to amplify and sustain this output, then an oscillator can be formed. The nat-
                        ural resonant frequency of the tank circuit is established by the tank’s L and
                        C components, or:

                                                              1
                                                      f
                                                      r
                                                          2   LC
                          Thus, oscillators will use a small part of their output signal from the active
                        device in order to send a regenerative, or in-phase, feedback into their own

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