Parameters listed above are optimized with Ansoft HFSS 9.0, andantenna is fabricated by technologies such as photolithography,etching, electroplaConsidering impedance matching of patches and microstrip lines,inset feedm)=E[x(n) x^* (m) ] ..(3.1) As this thesis deals only with real signals the above equation becomes._xx (n,m)=E[x(n)x(m)]The derivations of adaptive filtering algorithms utilize the autocorrelation matrix, R. For real signals this is defined as the matrix of expectations of the product of a vector x(n) and its transpose. This is shown in equation (3.2) [21]. R=[((E[|x_0 (k)^2 | ] &E[x_0 (k) x_1 (k) ] ?&E[x_0 (k) x_N (k) ] )@(E[x_1 (k) x_0 (k) ]&E[|x_1 (k)^2 | ] ? &E[x_1 (k) x_N (k) ]@?&?&?@E[x_N (k) x_0 (k) ]&E[x_N (k) x_1 (k) ] ?&E[|x_N (k)^2 | ] ))] R=E[x(k)x^T (k)] (3.2)The autocorrelation matrix has the additional property that its trace, i.e. the sum of its diagonal elements, is equal to the sum of the powers of the values in the input vector by Farhang-BoroujeParameters listed above are optimized with Ansoft HFSS 9.0, andantenna is fabricated by technologies such as photolithography,etching, electropla