# 0.6 Appendix and references

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This module provides a MATLAB program for processing Synthetic Aperture Radar (SAR) data as well as the references for our project.

## Matlab function for processing sar data

`function img = sar_lin(f,az_lin,iq_lin)`

`% INITIALIZATION`

`R=4*pi*f/3e8;% Transformation of Time Freqeuncy to Spatial Frequency`

`A=pi/180*az_lin;% Transformation of Angle in degree to radians`

`for j=1:147`

`A(j)=A(j)-2*pi;% Adjustment so that all angular values are between 0 and pi`

`end`

`% Initialization of Cartesian Grid`

`X=zeros(1,175);`

`Y=zeros(175,1);`

`for j=1:175`

`X(j)=208+(j-1);`

`Y(j)=208+(j-1);`

`end`

`val=zeros(175);% Initialize the matrix of values in the cartesian grid.`

`% INTERPOLATOR`

`for j=1:175`

`j % Update on how far we are.`

`for k=1:175`

`r=sqrt(X(j)^2+Y(k)^2);`

`a=atan(Y(k)/X(k));`

`if (r>R(1)&r<R(512))`

`% Data index of cartesian point`

`J=ceil((r-R(1))*511/(R(512)-R(1)));`

`K=ceil((a-A(1))*1540/(A(1541)-A(1)));`

`% Linearly interpolate the cartesian point with its 4 nearest neighbor polar data points.`

`% Interpolate in R`

`v0 = 1/(R(J+1)-R(J)) * ( iq_lin(J,K)*(R(J+1)-r) + iq_lin(J+1,K)*(r-R(J)) );`

`v1 = 1/(R(J+1)-R(J)) * ( iq_lin(J,K+1)*(R(J+1)-r) + iq_lin(J+1,K+1)*(r-R(J)) );`

`% Interpolate in THETA`

`val(j,k) = 1/(A(K+1)-A(K)) * ( v0*(A(K+1)-a) + v1*(a-A(K)) );`

`end`

`end`

`end`

`% Plot the interpolated values`

`figure(1)`

`imagesc(abs(val));`

`% Take the 2d inverse DFT to get the image`

`img = ifft2(val);`

`% Plot the image`

`figure(2)`

`imagesc(abs(img));`

D. C. Munson Jr., J. D. O’Brien, W. K. Jenkins, “A Tomographic Formulation of Spotlight-Mode Synthetic Aperture Radar,” Proc. IEEE, vol. 71, pp 917-925, August 1983.

D. C. Munson Jr., R. L. Visentin, “A Signal Processing View of Strip-Mapping Synthetic Aperture Radar,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 37, no. 12, pp 2131-2147, December 1989.

G. D. Martin, A. W. Doerry, “SAR Polar Format Implementation with MATLAB,” Sandia National Laboratories, SAND2005-7413, November 2005.

P. Buxa, L. Gorham, Lt. M. Lukacs, “Mapping of a 2D SAR Backprojection Algorithm to an SRC Reconfigurable Computing MAP Processor,” Air Force Research Laboratory, Sensors Directorate.

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