= Gigahertz
{title2=$\mathrm{GHz}=10^9\,\mathrm{s^{-1}}$}
A <gigahertz> is $10^9$ <hertz>, or $10^9$ cycles per <second>. The prefix giga supplies the exact factor $10^9$. A periodic signal at $1\,\mathrm{GHz}$ has <period> $T=1/f=1\,\mathrm{ns}$.<The International System of Units (SI), ninth edition, SI Brochure>[Sections 2.3.4 and 3, hertz and SI prefixes]{ref}
The corresponding <angular frequency> is $\omega=2\pi f$, so $1\,\mathrm{GHz}$ means $2\pi\times10^9\,\mathrm{rad\,s^{-1}}$. Keeping this distinction explicit prevents a factor of $2\pi$ error in <wave> and <oscillator> equations.
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