AIM: Optimization of signal processing algorithm in underwater communication to achieve better signal to noise ratio using FPGA OPTIMIZED ALGORITHM FOR VHDL CODING: P(r)=?? ??????, ??’????????, ??’??????’ Where, P(r) is the pressure of acoustic wave in a medium (consider shallow sea water) G (r, r’) is the 3D Green’s function F (r, r’) is the force applied. Consider the medium is divided into N blocks, ???????? ?? ??????????, ??’????????’??????????’ ?? Where, Force, F(r ,r’) is expressed using pressure of each block, p(n’) and area of each block d A Then each block has to be divided into p cells, ???????? ?? ?? ????????????, ??’????????’??????????’?? ?? ?? ?? Where e is the varying amplitude of acoustic wave ?? ??????, ??’?? ??????’ ?? ?? Where B is a 3*3 matrix.So ???????? becomes
???????? ?? ?? ?????? ?? ?? ?? ??????’?????? G is a 3D matrix consisting of values of Green’s function.The 3D Green’s function associated with 3D Helmholtz equation is, ???????? ?? ??????|??| ?????? Where, |??| ?? ???????? ?? ???? ?? ?????? K is the wave number, k=??/?? ?? ?? ?????? Let f be a 33kHz and c be a 1500m/s.Then k attains the value 138.23. After substituting all these values to the Green’s expression and assuming various 3D coordinates a constant complex value is getting for this Green’s function.i.e.29.8859i.The most interesting thing is that in the case of any co-ordinate systems whether 2D or 3D the value of Green’s function will be unique. MatrixG=???????????????? ?? ???????? ?????? ?????? ?????? ?????? ?????? ?????? ?????? ?????? ?? B= ???????????????? ?? ??. ?? ?? ?????????? ???????? ???????? ???????? ???????? ???????? ???????? ???????? ?????????? C= ???????? ?????? ?????? ?????? ?????? ?????? ?????? ?????? ???????? Where ????????????????= S????
C is 3*3 3D matrix consisting of six 3*3 submatices whose values can be found out by calculating value of B. G has unique value 29.8859i and e is the input .ie varying amplitude of acoustic wave. So by matrix notation the total…