Papers/Submitted/ForwardBackwardAPES/ForwardBackwardAPES_R1.aux

   1 \relax
   2 \citation{506612}
   3 \citation{774866}
   4 \citation{Stoica199845}
   5 \citation{5129272}
   6 \citation{4776568}
   7 \citation{1011219}
   8 \citation{Jakobsson2006710}
   9 \citation{Cantoni1976275}
  10 \citation{4101656}
  11 \@writefile{toc}{\contentsline {section}{\numberline {I}Introduction}{1}}
  12 \@writefile{toc}{\contentsline {section}{\numberline {II}Background}{1}}
  13 \newlabel{sec:background}{{II}{1}}
  14 \@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {II-A}}Signal Model and MVDR Beamforming}{1}}
  15 \newlabel{eq:def_Q}{{4}{1}}
  16 \newlabel{eq:uniform_das}{{6}{1}}
  17 \newlabel{eq:def_MVDR}{{7}{1}}
  18 \citation{506612}
  19 \citation{1011219}
  20 \citation{Jakobsson2006710}
  21 \citation{Stoica199845}
  22 \citation{506612}
  23 \citation{1011219}
  24 \citation{Cantoni1976275}
  25 \citation{4101656}
  26 \citation{Jansson1999235}
  27 \citation{506612}
  28 \citation{774866}
  29 \citation{Jakobsson2006710}
  30 \citation{700967}
  31 \@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {II-B}}APES Beamformer}{2}}
  32 \newlabel{eq:Q_apes}{{9}{2}}
  33 \newlabel{eq:def_mAPES}{{10}{2}}
  34 \newlabel{eq:def_scm}{{11}{2}}
  35 \newlabel{eq:def_R_fb}{{18}{2}}
  36 \newlabel{eq:fbnoisecovmat}{{19}{2}}
  37 \@writefile{toc}{\contentsline {section}{\numberline {III}Improved Forward-Backward Averaging for S-APES}{2}}
  38 \newlabel{sec:contribution}{{III}{2}}
  39 \newlabel{eq:def_Qffb}{{20}{2}}
  40 \newlabel{eq:Q_ffb_rank}{{22}{3}}
  41 \newlabel{eq:prop2_e1}{{25}{3}}
  42 \newlabel{eq:prop2_e2}{{26}{3}}
  43 \newlabel{eq:N_fb}{{28}{3}}
  44 \newlabel{eq:fnorm_fb}{{29}{3}}
  45 \newlabel{eq:N_ffb}{{31}{3}}
  46 \newlabel{eq:prop2proof_1}{{32}{3}}
  47 \newlabel{eq:prop2proof_2}{{33}{3}}
  48 \bibstyle{IEEEtran}
  49 \bibdata{ForwardBackwardAPES_R1}
  50 \bibcite{506612}{1}
  51 \bibcite{774866}{2}
  52 \bibcite{Stoica199845}{3}
  53 \bibcite{5129272}{4}
  54 \bibcite{4776568}{5}
  55 \bibcite{1011219}{6}
  56 \bibcite{Jakobsson2006710}{7}
  57 \bibcite{Cantoni1976275}{8}
  58 \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Low-SNR response for true MVDR (uniform weighting), APES with forward-backward averaging, and APES with full forward-backward averaging.}}{4}}
  59 \newlabel{fig:APES_lowSNR}{{1}{4}}
  60 \@writefile{toc}{\contentsline {section}{\numberline {IV}Conclusions}{4}}
  61 \newlabel{sec:conclusions}{{IV}{4}}
  62 \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Effect of different forward-backward averaging schemes on S-APES RMSE. Signal of interest arriving from $0^{\circ }$ with $A_{s}=1$. Interfering signal arriving from various angles with identical amplitude. M=10, N=10, SNR=0dB. {\bf  a)} RMSE vs. interference direction of arrival. {\bf  b)} RMSE vs. number of subarrays for interference from $45^{\circ }$.}}{4}}
  63 \newlabel{fig:RMSE_M10_L9_N10_SNR30}{{2}{4}}
  64 \@writefile{toc}{\contentsline {section}{References}{4}}
  65 \bibcite{4101656}{9}
  66 \bibcite{Jansson1999235}{10}
  67 \bibcite{700967}{11}