$A_x$	vibration amplitude of the x-axis, m	B	frequency band of interest, Hz
$c\left(t\right)$	inverse Laplace transform of $C\left(s\right)$	$c_y$	damping coefficient of the sense axis, N/(m/s)
$C_{fb}$	capacitance of the feedback electrodes, F	$C\left(s\right)$	transfer function of the PI controller and the LPF
$f_d$	vibration frequency of the x-axis, Hz	$f_{l0}$	cutoff frequency of the LPF, Hz
$f_{res}$	frequency resolution in estimation of ${\sigma }_{{\Omega }_{\mathcal{N}}}$, Hz	$f_x$	natural frequency of the x-axis, Hz
$f_y$	natural frequency of the y-axis, Hz	$F_c$	Coriolis force, N
$F_x$	force exerted along the x-axis, N	$F_y$	force exerted along the y-axis, N
$g_y\left(t\right)$	inverse Laplace transform of $G_y\left(s\right)$	$G_y\left(s\right)$	transfer function of the sense axis
$H\left(s\right)$	equivalent transfer function of modulated–demodulated $G_y\left(s\right)$	j	imaginary unit, $\sqrt{-1}$
$k_1$	a constant for the flicker noise at the pickoff circuit, V${}^2$	$k_2$	a constant for the flicker noise at the feedback circuit, V${}^2$
$k_B$	Boltzmann constant, $1.38\times {10}^{-23}$ J/K	$k_x$	stiffness of the x-axis, N/m
$k_y$	stiffness of the y-axis, N/m	$K_a$	gain of the signal conditioning circuit, V/V
$K_{DA}$	gain of the digital-to-analog converter buffer, V/V	$K_f$	gain of the feedback forcer, N/V
$K_i$	integral parameter of the PI controller	$K_p$	proportional parameter of the PI controller
$K_{xv}$	gain of the pickoff circuit (displacement to voltage), V/m	$L\left(s\right)$	transfer function of the LPF
m	mass of the sensor resonator, kg	$\mathcal{N}\left(t\right)$	noise in the sense channel before modulation, V
${\mathcal{N}}_c\left(t\right)$	noise in the sense channel after modulation, V	${\mathcal{N}}_{ef}\left(t\right)$	electrical noise introduced by feedback circuits, V
${\mathcal{N}}_{ep}\left(t\right)$	electrical noise introduced by pickoff circuits, V	${\mathcal{N}}_m\left(t\right)$	mechanical-thermal noise, N
$Q_y$	quality factor of the y-axis	$R_f$	equivalent resistance of the Johnson noise at the feedback circuit, $\Omega$
$R_p$	equivalent resistance of the Johnson noise at the pickoff circuit, $\Omega$	$R_{\mathcal{N}}\left(\tau \right)$	ACF of $\mathcal{N}\left(t\right)$
$R_{{\mathcal{N}}_c}\left(\tau \right)$	ACF of ${\mathcal{N}}_c\left(t\right)$	$S_{\mathcal{N}}\left(f\right)$	PSD of $\mathcal{N}\left(t\right)$, V${}^2$/Hz
$S_{{\mathcal{N}}_c}\left(f\right)$	PSD of ${\mathcal{N}}_c\left(t\right)$, V${}^2$/Hz	$S_{\mathcal{N}ef}\left(f\right)$	PSD of ${\mathcal{N}}_{ef}\left(t\right)$, V${}^2$/Hz
$S_{\mathcal{N}ep}\left(f\right)$	PSD of ${\mathcal{N}}_{ep}\left(t\right)$, V${}^2$/Hz	$S_{\mathcal{N}m}\left(f\right)$	PSD of ${\mathcal{N}}_m\left(t\right)$, N${}^2$/Hz
$S_{{\Omega }_{\mathcal{N}}}\left(f\right)$	PSD of the NER, (rad/s)${}^2$/Hz	T	temperature, K
$T_a$	time for averaging, s	$T_{\Omega }\left(s\right)$	equivalent transfer function in force-rebalance sense channel
$T_{\mathcal{N}}\left(s\right)$	equivalent transfer function in force-rebalance noise model	$V_D$	bias DC voltage applied to the forcer electrodes, V
x	displacement along the x-axis, m	y	displacement along the y-axis, m
${\alpha }_o$	open-loop scale-factor, V/(rad/s)	${\alpha }_c$	closed-loop scale-factor, V/(rad/s)
$\Delta f$	modal frequency split, Hz	$\Delta \omega$	modal frequency split, rad/s
$\eta$	angular gain factor	${\sigma }_{\Omega }$	standard deviation of the gyroscope output, rad/s
${\sigma }_{{\Omega }_{\mathcal{N}}}$	standard deviation of NER, rad/s	${\phi }_d$	demodulation phase, rad
${\phi }_{od}$	optimal demodulation phase, rad	${\omega }_d$	vibration frequency of the x-axis, rad/s
${\omega }_x$	natural frequency of the x-axis, rad/s	${\omega }_y$	natural frequency of the y-axis, rad/s
$\Omega \left(s\right)$	Laplace transform of $\Omega \left(t\right)$	$\widehat{\Omega }\left(s\right)$	Laplace transform of $\widehat{\Omega }\left(t\right)$
$\Omega \left(t\right)$	input angular rate, rad/s	$\widehat{\Omega }\left(t\right)$	measured angular rate, rad/s
${\Omega }_{ARW}$	angle random walk, (rad/s)/$\sqrt{\mathrm{Hz}}$