fix(symbol): \arg\max/\arg\min 改用 \argmax/\argmin 算子
preamble 已用 \DeclareMathOperator*{\argmax}{arg\,max} 定义算子,应整体使用
而非 \arg\max(后者下标只落在 max 下、且非整体算子)。全文 12 处统一为
\argmax/\argmin。
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@@ -124,7 +124,7 @@ The \gls{doa} estimates are then obtained by locating the $K$ dominant peaks of
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\begin{equation}
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\begin{equation}
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\hat{\theta}_k
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\hat{\theta}_k
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=
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=
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\arg\max_{\theta}
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\argmax_{\theta}
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\widehat{P}_{\mathrm{MVDR}}(\theta),
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\widehat{P}_{\mathrm{MVDR}}(\theta),
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\qquad k=1,\dots,K.
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\qquad k=1,\dots,K.
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\label{eq:mvdr_estimation}
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\label{eq:mvdr_estimation}
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@@ -256,7 +256,7 @@ The \gls{doa} estimates are then obtained by locating the $K$ dominant peaks of
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\begin{equation}
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\begin{equation}
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\hat{\theta}_k
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\hat{\theta}_k
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=
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=
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\arg\max_{\theta}
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\argmax_{\theta}
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P_{\mathrm{MUSIC}}(\theta),
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P_{\mathrm{MUSIC}}(\theta),
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\qquad k=1,\dots,K.
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\qquad k=1,\dots,K.
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\label{eq:music_estimation}
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\label{eq:music_estimation}
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@@ -427,7 +427,7 @@ In practice, $\bm{\Psi}$ can be estimated by solving the least-squares problem
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\begin{equation}
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\begin{equation}
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\widehat{\bm{\Psi}}
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\widehat{\bm{\Psi}}
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=
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=
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\arg\min_{\bm{\Psi}}
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\argmin_{\bm{\Psi}}
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\left\|
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\left\|
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\mathbf{U}_{s,2} - \mathbf{U}_{s,1}\bm{\Psi}
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\mathbf{U}_{s,2} - \mathbf{U}_{s,1}\bm{\Psi}
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\right\|_{\mathrm{F}}^2,
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\right\|_{\mathrm{F}}^2,
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@@ -619,7 +619,7 @@ The joint estimates of \gls{doa} and Doppler are then obtained by searching for
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\begin{equation}
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\begin{equation}
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(\hat{\theta}_k,\hat{\nu}_k)
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(\hat{\theta}_k,\hat{\nu}_k)
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=
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=
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\arg\max_{\theta,\nu}
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\argmax_{\theta,\nu}
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P_{\mathrm{ST\text{-}MUSIC}}(\theta,\nu),
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P_{\mathrm{ST\text{-}MUSIC}}(\theta,\nu),
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\qquad k=1,\dots,K.
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\qquad k=1,\dots,K.
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\label{eq:st_music_estimation}
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\label{eq:st_music_estimation}
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@@ -224,7 +224,7 @@
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\begin{equation}
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\begin{equation}
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\widehat{\boldsymbol\eta}
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\widehat{\boldsymbol\eta}
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=
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=
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\arg\min_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\argmin_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\sum_{\ell=0}^{L-1}
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\sum_{\ell=0}^{L-1}
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M_\ell T
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M_\ell T
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\log \mathcal E_\ell(\boldsymbol\xi,\nu_{\mathrm{ref}}),
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\log \mathcal E_\ell(\boldsymbol\xi,\nu_{\mathrm{ref}}),
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@@ -242,7 +242,7 @@
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\begin{equation}
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\begin{equation}
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\widehat{\boldsymbol\eta}
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\widehat{\boldsymbol\eta}
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=
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=
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\arg\max_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\argmax_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\sum_{\ell=0}^{L-1}
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\sum_{\ell=0}^{L-1}
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\frac{1}{\sigma_\ell}
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\frac{1}{\sigma_\ell}
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\frac{\left|\mathbf g_\ell^\Herm\tilde{\mathbf y}_\ell\right|^2}
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\frac{\left|\mathbf g_\ell^\Herm\tilde{\mathbf y}_\ell\right|^2}
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@@ -152,7 +152,7 @@ $\boldsymbol\Xi\triangleq[\boldsymbol\xi_1,\ldots,\boldsymbol\xi_K]$,$\boldsym
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\label{eq:sec4_concentrated}
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\label{eq:sec4_concentrated}
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\widehat{\boldsymbol\eta}_{\mathrm{mu}}
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\widehat{\boldsymbol\eta}_{\mathrm{mu}}
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=
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=
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\arg\min_{\boldsymbol\Xi,\boldsymbol\nu_{\mathrm{ref}}}
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\argmin_{\boldsymbol\Xi,\boldsymbol\nu_{\mathrm{ref}}}
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\sum_{\ell=0}^{L-1}
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\sum_{\ell=0}^{L-1}
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M_\ell T
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M_\ell T
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\log
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\log
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@@ -170,7 +170,7 @@ $\boldsymbol\Xi\triangleq[\boldsymbol\xi_1,\ldots,\boldsymbol\xi_K]$,$\boldsym
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\begin{equation}
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\begin{equation}
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\widehat{\boldsymbol\eta}_{\mathrm{mu}}
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\widehat{\boldsymbol\eta}_{\mathrm{mu}}
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=
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=
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\arg\max_{\boldsymbol\Xi,\boldsymbol\nu_{\mathrm{ref}}}
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\argmax_{\boldsymbol\Xi,\boldsymbol\nu_{\mathrm{ref}}}
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\sum_{\ell=0}^{L-1}
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\sum_{\ell=0}^{L-1}
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\frac{1}{\sigma_\ell}
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\frac{1}{\sigma_\ell}
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\tilde{\mathbf y}_\ell^\Herm
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\tilde{\mathbf y}_\ell^\Herm
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@@ -176,7 +176,7 @@ CP 模型的干扰参数向量为
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\begin{equation}
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\begin{equation}
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\widehat{\boldsymbol\eta}
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\widehat{\boldsymbol\eta}
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=
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=
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\arg\min_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\argmin_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\min_{\dot\nu_{\mathrm{ref}},\{\chi_\ell\}}
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\min_{\dot\nu_{\mathrm{ref}},\{\chi_\ell\}}
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\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{cp,str}}_\ell.
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\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{cp,str}}_\ell.
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\end{equation}
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\end{equation}
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@@ -191,7 +191,7 @@ CP 模型的干扰参数向量为
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\begin{equation}
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\begin{equation}
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\widehat{\boldsymbol\eta}_{\mathrm{dyn,rel}}
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\widehat{\boldsymbol\eta}_{\mathrm{dyn,rel}}
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=
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=
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\arg\min_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\argmin_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\min_{\dot\nu_{\mathrm{ref}}}
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\min_{\dot\nu_{\mathrm{ref}}}
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\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{cp,rel}}_\ell.
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\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{cp,rel}}_\ell.
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\end{equation}
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\end{equation}
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@@ -201,7 +201,7 @@ CP 模型的干扰参数向量为
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\begin{equation}
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\begin{equation}
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\widehat{\boldsymbol\eta}_{\mathrm{dyn,ip}}
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\widehat{\boldsymbol\eta}_{\mathrm{dyn,ip}}
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=
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=
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\arg\min_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\argmin_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
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\min_{\dot\nu_{\mathrm{ref}}}
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\min_{\dot\nu_{\mathrm{ref}}}
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\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{ip}}_\ell.
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\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{ip}}_\ell.
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\end{equation}
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\end{equation}
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@@ -81,7 +81,7 @@
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%
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%
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\begin{equation}
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\begin{equation}
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\widehat{\boldsymbol\eta}_{\mathrm{pos}}
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\widehat{\boldsymbol\eta}_{\mathrm{pos}}
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=\arg\min_{\mathbf p,\nu_{\mathrm{ref}}}
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=\argmin_{\mathbf p,\nu_{\mathrm{ref}}}
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\sum_{\ell=0}^{L-1}M_\ell T\log\mathcal E_\ell(\mathbf p,\nu_{\mathrm{ref}}),
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\sum_{\ell=0}^{L-1}M_\ell T\log\mathcal E_\ell(\mathbf p,\nu_{\mathrm{ref}}),
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\qquad
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\qquad
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\mathcal E_\ell\triangleq\|\tilde{\mathbf y}_\ell\|_2^2-\frac{\big|\mathbf g_\ell^\Herm\tilde{\mathbf y}_\ell\big|^2}{\|\mathbf g_\ell\|_2^2}.
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\mathcal E_\ell\triangleq\|\tilde{\mathbf y}_\ell\|_2^2-\frac{\big|\mathbf g_\ell^\Herm\tilde{\mathbf y}_\ell\big|^2}{\|\mathbf g_\ell\|_2^2}.
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