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Table 1 Main simulation parameters for each subsection

From: Direction-of-arrival and power spectral density estimation using a single directional microphone and group-sparse optimization

Subsection

P

N

Grid resolution

SNR

\({\varvec\lambda}\enspace\textbf{(GL-LS, GL-L1)}\)

5.2

1

6

\([1^\circ\), \(5^\circ\), \(10^\circ\), \(15^\circ\), \(20^\circ\), \(30^\circ\), \(40^\circ ]\)

\([0\ \textrm{dB}\), \(3\ \textrm{dB}\), \(5\ \textrm{dB}\), \(10\ \textrm{dB}\), \(15\ \textrm{dB}\), \(20\ \textrm{dB}]\)

\(0.1\Vert \widetilde{\textbf{A}}^\top \widetilde{\varvec{\varphi }}_Y\Vert _{\infty },\enspace\)  \(0.1\Vert \bar{\textbf{A}}^\top \varvec{\varphi }_Y\Vert _{\infty }\)

5.3

1

6

\(10^\circ\)

\(10\ \textrm{dB}\)

\(0.1\Vert \widetilde{\textbf{A}}^\top \widetilde{\varvec{\varphi }}_Y\Vert _{\infty },\enspace\) \(0.1\Vert \bar{\textbf{A}}^\top \varvec{\varphi }_Y\Vert _{\infty }\)

5.4

1

6

\(10^\circ\)

\(10\ \textrm{dB}\)

\(0.1\Vert \widetilde{\textbf{A}}^\top \widetilde{\varvec{\varphi }}_Y\Vert _{\infty },\enspace\) \(0.1\Vert \bar{\textbf{A}}^\top \varvec{\varphi }_Y\Vert _{\infty }\)

5.5

2

6

\(10^\circ\)

\(10\ \textrm{dB}\)

\(0.005\Vert \widetilde{\textbf{A}}^\top \widetilde{\varvec{\varphi }}_Y\Vert _{\infty },\enspace\) \(0.005\Vert \bar{\textbf{A}}^\top \varvec{\varphi }_Y\Vert _{\infty }\)

5.6

3

9

\(10^\circ\)

\(10\ \textrm{dB}\)

\(0.005\Vert \widetilde{\textbf{A}}^\top \widetilde{\varvec{\varphi }}_Y\Vert _{\infty },\enspace\) \(0.005\Vert \bar{\textbf{A}}^\top \varvec{\varphi }_Y\Vert _{\infty }\)