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 Author Comment/Response Ali Abuelmaatti 11/18/06 08:34am Hi all, I am trying to perform the following operation: Let us assume I have a two-tone input to my system in the form x = A Sin[Ω1] + A Sin[Ω2] and our system is nonlinear so it looks like this y = x + x2 + x3 Now to substitute x (the input) into y (the system) I use the expand function as follows Expand [y] Out[1]= ASin[Ω1] + A2Sin[Ω1] 2 + A3 Sin[Ω1]3 + A Sin[Ω2] + 2A2 Sin[Ω1] Sin[Ω2] + 3A3 Sin[Ω1]2 Sin[Ω2] + A2 Sin[Ω2]2 + 3A3 Sin[Ω1] Sin[Ω2]2 + A3 Sin[Ω2]3 Now that is good as it is substituted properly but this is just direct substitution and it is not what I am looking for, I want to break all the high power terms on the Sin functions so I try using simplify as follows: Simplify[Out[1]] Out[2]= A (Sin[Ω1] + Sin[Ω2]) (1 + A2 Sin[Ω1]2 + A Sin[Ω2] + A2 Sin[Ω2]2 + A Sin[Ω1] (1 + 2A Sin[Ω2])) Now it looks better but unfortunately it doesn URL: ,

 Subject (listing for 'Trigonometric functions manipulations') Author Date Posted Trigonometric functions manipulations Ali Abuelmaa... 11/18/06 08:34am Re: Trigonometric functions manipulations Lucy 12/03/06 4:53pm
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