1 | function [ output_args ] = filter_coeff( aviso_netcdf_file_bck1, aviso_netcdf_file_next1, filterlarger ) |
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2 | |
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3 | |
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4 | |
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5 | write_u=1;%if you want to write the velocities (true and background) to YAO DAT file |
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6 | write_coefs=1;%if you want to write the filters coefs |
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7 | %------------GRID-------------------------------------------------------% |
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8 | |
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9 | %for plotting |
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10 | |
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11 | Nlat=58; %Phi |
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12 | Nlong=87; %Lambda |
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13 | %The grid in degrees |
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14 | load '../obs_float/meshgrid2.dat'; |
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15 | |
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16 | GR_long=reshape(meshgrid2(:,1),Nlong,Nlat); %will give a Nlong by Nlat matrix |
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17 | %containing the long of the points |
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18 | |
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19 | GR_lat=reshape(meshgrid2(:,2),Nlong,Nlat); %will give a Nlong by Nlat matrix |
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20 | %containing the lat of the points |
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21 | |
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22 | |
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23 | |
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24 | |
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25 | |
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26 | |
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27 | %-----------The velocities U and V---------------------------------------% |
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28 | |
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29 | |
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30 | |
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31 | %Load directly from AVISO folder where the u s for the whole mediterranean: |
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32 | |
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33 | |
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34 | |
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35 | %UTRUE=the first week |
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36 | |
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37 | U1=ncread(strcat('../obs_aviso/',aviso_netcdf_file_bck1,'.nc'),'Grid_0001'); |
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38 | uaviso1=U1(1:58,end-86:end)./100; %choose the eatern med and make it in m/s |
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39 | |
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40 | V1=ncread(strcat('../obs_aviso/',aviso_netcdf_file_bck1,'.nc'),'Grid_0002'); |
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41 | vaviso1=V1(1:58,end-86:end)./100; %choose the eatern med and make it in m/s |
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42 | |
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43 | |
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44 | |
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45 | |
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46 | %U the second week |
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47 | |
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48 | U2=ncread(strcat('../obs_aviso/',aviso_netcdf_file_next1,'.nc'),'Grid_0001'); |
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49 | uaviso2=U2(1:58,end-86:end)./100; |
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50 | |
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51 | V2=ncread(strcat('../obs_aviso/',aviso_netcdf_file_next1,'.nc'),'Grid_0002'); |
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52 | vaviso2=V2(1:58,end-86:end)./100; |
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53 | |
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54 | |
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55 | %do the mask manually: |
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56 | II1=find(isfinite(uaviso1)==0); |
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57 | uaviso1(II1)=0; |
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58 | II2=find(isfinite(uaviso2)==0); |
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59 | uaviso2(II2)=0; |
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60 | |
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61 | JJ1=find(isfinite(vaviso1)==0); |
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62 | vaviso1(JJ1)=0; |
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63 | JJ2=find(isfinite(vaviso2)==0); |
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64 | vaviso2(JJ2)=0; |
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65 | |
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66 | |
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67 | %interpolate to get the field every 2 h during the first week, in case need velocity in between: |
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68 | Nt=7*24/2; %one week in units of delta t |
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69 | for jt=1:Nt+1 |
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70 | umod(:,:,jt)=(uaviso1*(Nt+1-jt)./Nt)+ (uaviso2*(jt-1)/Nt); |
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71 | vmod(:,:,jt)=(vaviso1*(Nt+1-jt)./Nt)+ (vaviso2*(jt-1)/Nt); |
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72 | end |
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73 | |
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74 | |
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75 | |
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76 | |
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77 | |
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78 | |
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79 | %change grid from degrees to uniteless |
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80 | |
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81 | R_earth=6371229; %in meters |
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82 | delta_x=zeros(Nlong,Nlat); |
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83 | delta_y=zeros(Nlong,Nlat); |
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84 | |
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85 | for ilon=1:Nlong-1; |
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86 | for jlat=1:Nlat-1; |
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87 | |
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88 | delta_x(ilon,jlat)=R_earth*(2*pi/360)*(GR_long(ilon+1,jlat)-GR_long(ilon,jlat))... |
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89 | .*cos(2*pi*GR_lat(ilon,jlat)/360); |
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90 | delta_y(ilon,jlat)=R_earth*(2*pi/360)*(GR_lat(ilon,jlat+1)-GR_lat(ilon,jlat)); |
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91 | |
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92 | |
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93 | end |
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94 | end |
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95 | |
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96 | |
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97 | |
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98 | delta_x(Nlong,1:Nlat)=delta_x(Nlong-1,1:Nlat); |
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99 | delta_y(Nlong,1:Nlat)=delta_y(Nlong-1,1:Nlat); |
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100 | |
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101 | |
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102 | delta_x(1:Nlong,Nlat)=delta_x(1:Nlong,Nlat-1); |
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103 | delta_y(1:Nlong,Nlat)=delta_y(1:Nlong,Nlat-1); |
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104 | |
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105 | |
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106 | |
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107 | %choose UTRUE=Ufirst week |
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108 | |
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109 | uu=umod(:,:,1)./delta_x.'; %u has units of pers second |
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110 | vv=vmod(:,:,1)./delta_y.'; |
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111 | |
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112 | %Choose Uback=Uafter 3days |
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113 | |
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114 | uu_pert=umod(:,:,35)./delta_x.'; |
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115 | vv_pert=vmod(:,:,35)./delta_y.'; |
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116 | |
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117 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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118 | |
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119 | |
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120 | %%%%%%%%%%%%%%%%%%%PUT U in YAO format%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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121 | |
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122 | %create a Nlat*Nlong by 5 matrix first |
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123 | u_yao1=reshape(uu, Nlong*Nlat,1); |
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124 | v_yao1=reshape(vv, Nlong*Nlat,1); |
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125 | |
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126 | up_yao1=reshape(uu_pert, Nlong*Nlat,1); |
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127 | vp_yao1=reshape(vv_pert, Nlong*Nlat,1); |
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128 | %create the vectors rehsaped |
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129 | cd1=[]; for k=1:Nlong; cd1=[cd1; k*ones(Nlat,1)]; end |
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130 | cd2=repmat([1:1:Nlat].',Nlong,1); |
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131 | |
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132 | Yao_u=[ ones(Nlong*Nlat,1) cd1 cd2 u_yao1]; |
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133 | Yao_v=[ ones(Nlong*Nlat,1) cd1 cd2 v_yao1]; |
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134 | |
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135 | Yao_up=[ ones(Nlong*Nlat,1) cd1 cd2 up_yao1]; |
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136 | Yao_vp=[ ones(Nlong*Nlat,1) cd1 cd2 vp_yao1]; |
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137 | |
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138 | if (write_u==1) |
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139 | |
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140 | dlmwrite('../obs_float/uzero.dat',Yao_u,'\t'); |
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141 | dlmwrite('../obs_float/vzero.dat',Yao_v,'\t'); |
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142 | %save UV_0.mat uu vv; |
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143 | dlmwrite('../obs_float/unext3d.dat',Yao_up,'\t'); |
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144 | dlmwrite('../obs_float/vnext3d.dat',Yao_vp,'\t'); |
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145 | %save UVnext3d.mat uu_pert vv_pert cc1 cc2; |
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146 | end; |
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147 | |
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148 | |
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149 | |
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150 | |
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151 | |
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152 | |
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153 | |
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154 | %---------------------FILTER--------------------------------------------% |
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155 | |
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156 | %%%%%%%%%%%Get filter coeff%%%%%%%%% |
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157 | |
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158 | |
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159 | %length of filter in m, you can change this to 25 000 or 15 000, etc.. |
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160 | %WHEN you change this, 2 important numbers for the YAO code change, the |
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161 | %filter order and the filter's time step. |
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162 | lfil=filterlarger; |
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163 | |
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164 | |
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165 | |
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166 | load '../obs_float/mask.dat'; |
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167 | mask2=reshape(mask,87,58); |
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168 | |
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169 | umask=zeros(Nlong,Nlat); vmask=umask; |
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170 | for i=1:Nlong-1 |
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171 | for j=1:Nlat-1 |
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172 | umask(i,j)=mask2(i,j).*mask2(i+1,j); |
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173 | vmask(i,j)=mask2(i,j).*mask2(i,j+1); |
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174 | end |
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175 | end |
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176 | |
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177 | [minx gg1]=min(min(delta_x)); |
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178 | [miny gg2]=min(min(delta_y)); |
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179 | itxmin=floor(2*lfil*lfil./minx.^2); |
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180 | itymin=floor(2*lfil*lfil./miny.^2); |
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181 | |
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182 | |
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183 | filter_order=ceil((max(itxmin,itymin)+1)./2) |
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184 | %THIS IS AN IMPORTANT NUMBER, when you change the filterlength it will |
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185 | %change. IN YAO, this variable is |
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186 | %defval OFIL 4 //order of the filter |
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187 | %in the floater_delta.d file. SO just copy th evalue from here |
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188 | |
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189 | |
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190 | |
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191 | |
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192 | |
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193 | |
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194 | |
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195 | |
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196 | nbitfil=filter_order*2;%nb of filter passes |
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197 | %nb of filter passes |
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198 | |
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199 | |
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200 | |
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201 | dtfil=0.5*lfil*lfil./nbitfil %filter time step |
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202 | %%%%%%THIS NUMBER IS ALSO IMPORTANT AS IT GOES IN THE floater.h code in the |
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203 | %%%%%%variable YREAL dtfil=...; As you change the filter length it will |
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204 | %%%%%%change |
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205 | |
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206 | |
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207 | %%%%%%filter normalization coefs%%%%%%%%%%%%%%%% |
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208 | |
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209 | |
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210 | %%Version Leila : |
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211 | % fileu=umask./sqrt(delta_x.*delta_y); |
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212 | % filev=vmask./sqrt(delta_x.*delta_y); |
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213 | |
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214 | %%Test 29/07/2014 |
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215 | fileu=1./sqrt(delta_x.*delta_y); |
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216 | filev=1./sqrt(delta_x.*delta_y); |
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217 | |
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218 | dx=delta_x; |
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219 | dy=delta_y; |
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220 | c1=zeros(Nlong,Nlat); c2=c1; c3=c1; c4=c1; c5=c1; c6=c1; c7=c1; c8=c1; c9=c1; |
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221 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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222 | %ucoefs |
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223 | for i=2:Nlong-1 |
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224 | for j=2:Nlat-1; |
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225 | c1(i,j) = -1/dx(i,j)^2-dy(i,j)/(dx(i,j)*dx(i+1,j)*dy(i+1,j))-mask2(i,j-1)*mask2(i,j)*mask2(i+1,j-1)*mask2(i+1,j)*dx(i,j)/(dy(i,j)*dx(i,j-1)*dy(i,j-1))-mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)/dy(i,j)^2; |
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226 | c2(i,j) = 1/(dx(i,j)*dx(i+1,j)); |
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227 | c3(i,j) = mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)*dx(i,j+1)/(dy(i,j)^2*dx(i,j)); |
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228 | c4(i,j) = mask2(i,j-1)*mask2(i,j)*mask2(i+1,j-1)*mask2(i+1,j)/(dy(i,j)*dy(i,j-1)); |
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229 | c5(i,j) = dy(i-1,j)/(dx(i,j)^2*dy(i,j)); |
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230 | c6(i,j) = -1/(dx(i,j)*dy(i,j))+mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)/(dx(i,j)*dy(i,j)); |
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231 | c7(i,j) = mask2(i,j-1)*mask2(i,j)*mask2(i+1,j-1)*mask2(i+1,j)*dy(i+1,j-1)/(dy(i,j)*dx(i,j-1)*dy(i,j-1))-dx(i+1,j-1)/(dx(i,j)*dx(i+1,j)*dy(i+1,j)); |
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232 | c8(i,j) = -mask2(i,j-1)*mask2(i,j)*mask2(i+1,j-1)*mask2(i+1,j)/(dy(i,j)*dx(i,j-1))+dx(i,j-1)/(dx(i,j)^2*dy(i,j)); |
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233 | c9(i,j) = -mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)*dy(i+1,j)/(dy(i,j)^2*dx(i,j))+1/(dx(i,j)*dy(i+1,j)); |
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234 | end |
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235 | end |
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236 | c1=c1.*umask; c2=c2.*umask; c3=c3.*umask; |
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237 | c4=c4.*umask; c5=c5.*umask; c6=c6.*umask; |
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238 | c7=c7.*umask; c8=c8.*umask; c9=c9.*umask; |
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239 | |
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240 | |
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241 | |
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242 | |
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243 | |
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244 | |
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245 | |
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246 | %vcoefs |
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247 | d1=zeros(Nlong,Nlat); d2=d1; d3=d1; d4=d1; d5=d1; d6=d1; d7=d1; d8=d1; d9=d1; |
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248 | for i=2:Nlong-1 |
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249 | for j=2:Nlat-1; |
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250 | d1(i,j) = -mask2(i-1,j)*mask2(i-1,j+1)*mask2(i,j)*mask2(i,j+1)*dy(i,j)/(dx(i,j)*dx(i-1,j)*dy(i-1,j))-mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)/dx(i,j)^2-1/dy(i,j)^2-dx(i,j)/(dy(i,j)*dx(i,j+1)*dy(i,j+1)); |
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251 | d2(i,j) = mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)*dy(i+1,j)/(dx(i,j)^2*dy(i,j)); |
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252 | d3(i,j) = 1/(dy(i,j)*dy(i,j+1)); |
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253 | d4(i,j) = dx(i,j-1)/(dy(i,j)^2*dx(i,j)); |
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254 | d5(i,j) = mask2(i-1,j)*mask2(i-1,j+1)*mask2(i,j)*mask2(i,j+1)/(dx(i,j)*dx(i-1,j)); |
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255 | d6(i,j) = -1/(dx(i,j)*dy(i,j))+mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)/(dx(i,j)*dy(i,j)); |
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256 | d7(i,j) = -mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)*dx(i,j+1)/(dx(i,j)^2*dy(i,j))+1/(dy(i,j)*dx(i,j+1)); |
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257 | d8(i,j) = dy(i-1,j)/(dy(i,j)^2*dx(i,j))-mask2(i-1,j)*mask2(i-1,j+1)*mask2(i,j)*mask2(i,j+1)/(dx(i,j)*dy(i-1,j)); |
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258 | d9(i,j) = -dy(i-1,j+1)/(dy(i,j)*dx(i,j+1)*dy(i,j+1))+mask2(i-1,j)*mask2(i-1,j+1)*mask2(i,j)*mask2(i,j+1)*dx(i-1,j+1)/(dx(i,j)*dx(i-1,j)*dy(i-1,j)); |
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259 | end |
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260 | end |
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261 | |
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262 | |
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263 | d1=d1.*vmask; d2=d2.*vmask; d3=d3.*vmask; |
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264 | d4=d4.*vmask; d5=d5.*vmask; d6=d6.*vmask; |
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265 | d7=d7.*vmask; d8=d8.*vmask; d9=d9.*vmask; |
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266 | |
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267 | |
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268 | %save into yao format |
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269 | %get dt value and order of filter |
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270 | %put mask as ones in yao put a fake mask |
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271 | %load the fileu /v as the norm |
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272 | |
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273 | |
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274 | %%%%%%%%%%%%%%%%%SAVE THESE COEF INTO YAO FORMAT%%%%%%%%%%%%%%%%%% |
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275 | |
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276 | %1------------------PUT U in YAO format-------------------------------------% |
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277 | %1-CC |
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278 | c1_yao=reshape(c1.', Nlong*Nlat,1); |
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279 | c2_yao=reshape(c2.', Nlong*Nlat,1); |
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280 | c3_yao=reshape(c3.', Nlong*Nlat,1); |
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281 | c4_yao=reshape(c4.', Nlong*Nlat,1); |
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282 | c5_yao=reshape(c5.', Nlong*Nlat,1); |
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283 | c6_yao=reshape(c6.', Nlong*Nlat,1); |
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284 | c7_yao=reshape(c7.', Nlong*Nlat,1); |
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285 | c8_yao=reshape(c8.', Nlong*Nlat,1); |
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286 | c9_yao=reshape(c9.', Nlong*Nlat,1); |
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287 | |
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288 | %create the i j indices |
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289 | cd1=[]; for k=1:Nlong; cd1=[cd1; k*ones(Nlat,1)]; end |
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290 | cd2=repmat([1:1:Nlat].',Nlong,1); |
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291 | |
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292 | Yao_CC=[ ones(Nlong*Nlat,1) cd1 cd2 c1_yao;... |
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293 | 2*ones(Nlong*Nlat,1) cd1 cd2 c2_yao;... |
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294 | 3*ones(Nlong*Nlat,1) cd1 cd2 c3_yao; ... |
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295 | 4*ones(Nlong*Nlat,1) cd1 cd2 c4_yao;... |
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296 | 5*ones(Nlong*Nlat,1) cd1 cd2 c5_yao;... |
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297 | 6*ones(Nlong*Nlat,1) cd1 cd2 c6_yao;... |
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298 | 7*ones(Nlong*Nlat,1) cd1 cd2 c7_yao;... |
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299 | 8*ones(Nlong*Nlat,1) cd1 cd2 c8_yao;... |
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300 | 9*ones(Nlong*Nlat,1) cd1 cd2 c9_yao;]; |
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301 | |
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302 | %2-DD |
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303 | d1_yao=reshape(d1.', Nlong*Nlat,1); |
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304 | d2_yao=reshape(d2.', Nlong*Nlat,1); |
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305 | d3_yao=reshape(d3.', Nlong*Nlat,1); |
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306 | d4_yao=reshape(d4.', Nlong*Nlat,1); |
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307 | d5_yao=reshape(d5.', Nlong*Nlat,1); |
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308 | d6_yao=reshape(d6.', Nlong*Nlat,1); |
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309 | d7_yao=reshape(d7.', Nlong*Nlat,1); |
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310 | d8_yao=reshape(d8.', Nlong*Nlat,1); |
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311 | d9_yao=reshape(d9.', Nlong*Nlat,1); |
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312 | |
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313 | |
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314 | |
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315 | Yao_DD=[ ones(Nlong*Nlat,1) cd1 cd2 d1_yao;... |
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316 | 2*ones(Nlong*Nlat,1) cd1 cd2 d2_yao;... |
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317 | 3*ones(Nlong*Nlat,1) cd1 cd2 d3_yao; ... |
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318 | 4*ones(Nlong*Nlat,1) cd1 cd2 d4_yao;... |
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319 | 5*ones(Nlong*Nlat,1) cd1 cd2 d5_yao;... |
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320 | 6*ones(Nlong*Nlat,1) cd1 cd2 d6_yao;... |
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321 | 7*ones(Nlong*Nlat,1) cd1 cd2 d7_yao;... |
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322 | 8*ones(Nlong*Nlat,1) cd1 cd2 d8_yao;... |
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323 | 9*ones(Nlong*Nlat,1) cd1 cd2 d9_yao;]; |
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324 | |
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325 | %3- Fake mask of ones, to remove from yao later! |
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326 | maskk=ones(Nlat,Nlong); |
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327 | mask_yao=reshape(maskk, Nlong*Nlat,1); |
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328 | Yao_mask=[ ones(Nlong*Nlat,1) cd1 cd2 mask_yao]; |
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329 | |
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330 | %4- The normalization after finishing the filter |
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331 | norm_u=fileu.'; |
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332 | nu_yao=reshape(norm_u, Nlong*Nlat,1); |
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333 | Yao_nu=[ ones(Nlong*Nlat,1) cd1 cd2 nu_yao]; |
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334 | |
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335 | norm_v=filev.'; |
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336 | nv_yao=reshape(norm_v, Nlong*Nlat,1); |
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337 | Yao_nv=[ ones(Nlong*Nlat,1) cd1 cd2 nv_yao]; |
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338 | |
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339 | %2-Save |
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340 | |
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341 | if (write_coefs==1) |
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342 | |
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343 | dlmwrite('../obs_float/CC.dat',Yao_CC,'\t'); |
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344 | dlmwrite('../obs_float/DD.dat',Yao_DD,'\t'); |
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345 | dlmwrite('../obs_float/Mask.dat',Yao_mask,'\t'); |
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346 | dlmwrite('../obs_float/NU.dat',Yao_nu,'\t'); |
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347 | dlmwrite('../obs_float/NV.dat',Yao_nv,'\t'); |
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348 | |
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349 | end; |
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350 | |
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351 | %%%%%TO load these in YAO, you need to add these lines, in the ini file (if |
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352 | %there is a filter option_ |
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353 | %loadstate cfil 0 ij 0 A 1 ../obs_float/CC.dat D |
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354 | %loadstate dfil 0 ij 0 A 1 ../obs_float/DD.dat D |
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355 | %loadstate mask 0 ij 0 A 1 ../obs_float/Mask.dat D |
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356 | %loadstate u_norm 0 ij 0 A 1 ../obs_float/NU.dat D |
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357 | %loadstate v_norm 0 ij 0 A 1 ../obs_float/NV.dat D |
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358 | |
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359 | fprintf ('Please change tha values given in the YAO code.\n') |
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360 | |
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361 | |
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362 | |
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363 | end |
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364 | |
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