Homework #10 Due: Tursday, May 7, 2009 Note: Use of Matlab (or any other software) is not permitted. I.(Exercises 7.34) Simplify the following expressions. The parameters a,b, are real, and m,n=0,1,2,… You can freely use rules from Fourier transform calculus, as well as operations with distributions. 1.(1pt) )()()(baxbxax−−−−∗−δ; 2.(1pt) )("")(2axaax−; a≠0 3.(1pt) )()()()()()(xxxnmnm+−∗II.(Exercise 7.38) Find the Fourier transform of each of the following generalized functions assuming that a>0, -∞<b<∞, and n=1,2,… . 4.(1pt) )()()(baxxfn+=; 5.(1pt) nnbxbxxf−−⋅+=)()()(;6.(1pt) niaxxf−+=)()( III.(Exercise 7.56) Solve the following convolution equations over the space of
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