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The Pierce oscillator is a type of electronic oscillator particularly well-suited for use in piezoelectric crystal oscillator circuits. Named for its inventor, George W. Pierce (1872–1956), [ 1 ] [ 2 ] the Pierce oscillator is a derivative of the Colpitts oscillator .
G. W. Pierce had an eye for finding the main sticking point in physical processes. For electronics, he saw that resonance was a key phenomenon. His five-part series "Experiments on resonance in wireless telegraph circuits in Physical Review (1904-7) are evidence of his leadership.
There is often misunderstanding around Leeson's equation, even in text books. In the 1966 paper, Leeson stated correctly that "P s is the signal level at the oscillator active element input" (often referred to as the power through the resonator now, strictly speaking it is the available power at the amplifier input).
Comparison and Oscillation Theory of Linear Differential Equations. Elsevier. ISBN 978-1-4832-6667-1. Teschl, G. (2012). Ordinary Differential Equations and Dynamical Systems. Providence: American Mathematical Society. ISBN 978-0-8218-8328-0. Weidmann, J. (1987). Spectral Theory of Ordinary Differential Operators. Lecture Notes in Mathematics ...
The average capacitance (C1+C2)/2 is called the "load capacitance". (this article) "In the popular Pierce oscillator circuit, which has a capacitor to ground on either side of the crystal, the load capacitance is equal to the series combination of the two capacitors plus Cstray."
Roots of Pierce County homelessness. Tracking our homeless crisis, TNT compares homeless rates here in Pierce County with same-sized Snohomish County. Ours are high and climbing, theirs are going ...
The transformation that allows this model to be solved exactly (at least in the N → ∞ limit) is as follows: . Define the "order" parameters r and ψ as = =. Here r represents the phase-coherence of the population of oscillators and ψ indicates the average phase.
RC oscillators are a type of feedback oscillator; they consist of an amplifying device, a transistor, vacuum tube, or op-amp, with some of its output energy fed back into its input through a network of resistors and capacitors, an RC network, to achieve positive feedback, causing it to generate an oscillating sinusoidal voltage.