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。
This commit is contained in:
2026-06-16 18:00:03 +08:00
parent 97830d4d01
commit a395fbe7de
5 changed files with 12 additions and 12 deletions
+4 -4
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@@ -124,7 +124,7 @@ The \gls{doa} estimates are then obtained by locating the $K$ dominant peaks of
\begin{equation}
\hat{\theta}_k
=
\arg\max_{\theta}
\argmax_{\theta}
\widehat{P}_{\mathrm{MVDR}}(\theta),
\qquad k=1,\dots,K.
\label{eq:mvdr_estimation}
@@ -256,7 +256,7 @@ The \gls{doa} estimates are then obtained by locating the $K$ dominant peaks of
\begin{equation}
\hat{\theta}_k
=
\arg\max_{\theta}
\argmax_{\theta}
P_{\mathrm{MUSIC}}(\theta),
\qquad k=1,\dots,K.
\label{eq:music_estimation}
@@ -427,7 +427,7 @@ In practice, $\bm{\Psi}$ can be estimated by solving the least-squares problem
\begin{equation}
\widehat{\bm{\Psi}}
=
\arg\min_{\bm{\Psi}}
\argmin_{\bm{\Psi}}
\left\|
\mathbf{U}_{s,2} - \mathbf{U}_{s,1}\bm{\Psi}
\right\|_{\mathrm{F}}^2,
@@ -619,7 +619,7 @@ The joint estimates of \gls{doa} and Doppler are then obtained by searching for
\begin{equation}
(\hat{\theta}_k,\hat{\nu}_k)
=
\arg\max_{\theta,\nu}
\argmax_{\theta,\nu}
P_{\mathrm{ST\text{-}MUSIC}}(\theta,\nu),
\qquad k=1,\dots,K.
\label{eq:st_music_estimation}
+2 -2
View File
@@ -224,7 +224,7 @@
\begin{equation}
\widehat{\boldsymbol\eta}
=
\arg\min_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\argmin_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\sum_{\ell=0}^{L-1}
M_\ell T
\log \mathcal E_\ell(\boldsymbol\xi,\nu_{\mathrm{ref}}),
@@ -242,7 +242,7 @@
\begin{equation}
\widehat{\boldsymbol\eta}
=
\arg\max_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\argmax_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\sum_{\ell=0}^{L-1}
\frac{1}{\sigma_\ell}
\frac{\left|\mathbf g_\ell^\Herm\tilde{\mathbf y}_\ell\right|^2}
+2 -2
View File
@@ -152,7 +152,7 @@ $\boldsymbol\Xi\triangleq[\boldsymbol\xi_1,\ldots,\boldsymbol\xi_K]$,$\boldsym
\label{eq:sec4_concentrated}
\widehat{\boldsymbol\eta}_{\mathrm{mu}}
=
\arg\min_{\boldsymbol\Xi,\boldsymbol\nu_{\mathrm{ref}}}
\argmin_{\boldsymbol\Xi,\boldsymbol\nu_{\mathrm{ref}}}
\sum_{\ell=0}^{L-1}
M_\ell T
\log
@@ -170,7 +170,7 @@ $\boldsymbol\Xi\triangleq[\boldsymbol\xi_1,\ldots,\boldsymbol\xi_K]$,$\boldsym
\begin{equation}
\widehat{\boldsymbol\eta}_{\mathrm{mu}}
=
\arg\max_{\boldsymbol\Xi,\boldsymbol\nu_{\mathrm{ref}}}
\argmax_{\boldsymbol\Xi,\boldsymbol\nu_{\mathrm{ref}}}
\sum_{\ell=0}^{L-1}
\frac{1}{\sigma_\ell}
\tilde{\mathbf y}_\ell^\Herm
+3 -3
View File
@@ -176,7 +176,7 @@ CP 模型的干扰参数向量为
\begin{equation}
\widehat{\boldsymbol\eta}
=
\arg\min_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\argmin_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\min_{\dot\nu_{\mathrm{ref}},\{\chi_\ell\}}
\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{cp,str}}_\ell.
\end{equation}
@@ -191,7 +191,7 @@ CP 模型的干扰参数向量为
\begin{equation}
\widehat{\boldsymbol\eta}_{\mathrm{dyn,rel}}
=
\arg\min_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\argmin_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\min_{\dot\nu_{\mathrm{ref}}}
\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{cp,rel}}_\ell.
\end{equation}
@@ -201,7 +201,7 @@ CP 模型的干扰参数向量为
\begin{equation}
\widehat{\boldsymbol\eta}_{\mathrm{dyn,ip}}
=
\arg\min_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\argmin_{\boldsymbol\xi,\nu_{\mathrm{ref}}}
\min_{\dot\nu_{\mathrm{ref}}}
\sum_{\ell=0}^{L-1}M_\ell PT\log \mathcal R^{\mathrm{ip}}_\ell.
\end{equation}
+1 -1
View File
@@ -81,7 +81,7 @@
%
\begin{equation}
\widehat{\boldsymbol\eta}_{\mathrm{pos}}
=\arg\min_{\mathbf p,\nu_{\mathrm{ref}}}
=\argmin_{\mathbf p,\nu_{\mathrm{ref}}}
\sum_{\ell=0}^{L-1}M_\ell T\log\mathcal E_\ell(\mathbf p,\nu_{\mathrm{ref}}),
\qquad
\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}.