pulse compression technique used in radar my project is to generate a binary sequence based on chebyshev mapping given by function Xn+1=cos(k*cos-1(xn)) the algorithm is is used to find minimum value of two function psl and isl which can be formulated asACFk(B)=∑_(i=1)^(L-k)▒〖b_i b_(i+k) 〗 , where K=0,1,2……………..L-1 (3)
Clearly equation (3) signifies ACF of matched filter is not impulsive in nature.
i.e. ACFk(B)=0 when k≠0 (4)
The equation (4) signifies that side lobe present in ACF of matched filter. ACF0(B) known as main lobe i.e. output due to desire signal. Merit Factor is define as the ratio of energy in compressed peak to the total energy in side lobe. Mathematical expression of MF is given in equation (5).
MF=(〖ACF〗_0^2)/(2∑_(k=1)^(L-1)▒〖ACF〗_k^2 ) (5)
PSL is defining as the maximum peak side lobe value in all available side lobes. The expression for PSL value in corresponding ACF is given by equation (6 ) and (7).
PSL=max|(ACFk(n))| when k≠0. (6)
PSL(dB)=20log(PSL) in dB