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Thank you steve for your answerOver what period of time?
You can't do this in real time because that requires you know the state of the waveform in the future.
Perhaps you could go with sampling and replaying in reverse.
besides I do not know if it was a cos or a sin. my circuit must work for the both.How about a piece of wire? A sine wave in reverse is a sine wave.
An xxxxxxxxxxxx is one option.
Is this homework?
I expect it is.[/QUOTE
No it is a project of LicenseAn xxxxxxxxxxxx is one option.
Is this homework?
Excuse me i have errorthat's just my problem
If I consider a circle of radius 1 and I have a transformation which is a symmetry with respect to a central axis of radius π / 8 with respect to the axis Ox. So this symmetry will transform my initial signal which is sin (ωt) into sin (ωt + π / 4). the problem is that if I want to apply this transformation more than twice in succession. Moreover if I apply it twice I have to find the identity (ie sin (ωt + π / 4) gives sin (ωt))
Makes absolutely no sense to me: sin (ωt + π / 4) <> sin (ωt))(ie sin (ωt + π / 4) gives sin (ωt))
I apologize for this delay because I was testing other alternatives. This is almost the equations you quoted steve and which are exactly:I think the problem is, for the equations
Find a and f() such that 0 <= a <= 2π and f() can be implemented as an electronic circuit.
 Sin(a + x) = f( sin(x) )
 Cos(a + x) = f( cos(x) )
I think I have done half the work by laying out the equations. There problem is more of a test of understanding of mathematics than of electronics.
@Jawad was on the right track using a unit circle. I don't know where π/4 came from, and I encourage him to keep trying.
it's not a choice of pi / 4 but I have just transformed my basic function that are:For some reason @Jawad is stuck on pi/4 for some reason