  In this technical note, we propose a practicable quantized sampled velocity
data coupling protocol for synchronization of a set of harmonic oscillators.
The coupling protocol is designed in a quantized way via interconnecting the
velocities encoded by a uniform quantizer with a zooming parameter in either a
fixed or an adjustable form over a directed communication network. We establish
sufficient conditions for the networked harmonic oscillators to converge to a
bounded neighborhood of the synchronized orbits with a fixed zooming parameter.
We ensure the oscillators to achieve synchronization by designing the quantized
coupling protocol with an adjustable zooming parameter. Finally, we show two
numerical examples to illustrate the effectiveness of the proposed coupling
protocol.
