I'm looking to set up an equation involving the use of trig, just to help you understand take this example:
And solves for:
So for my equation and substituting :
I'm trying to obtain mine but I am confused about the and the positioning of the subsquent 2 this time. I just can't be 100% of getting it right. Does anyone know?
That's fine CB.
Ok this is the question, you may remember my question regarding this transfer function I did with you:
So the question was:
"Setting and r = 0.5, compute the magnitude frequency response for the series of frequency values satisfying where n = 0,1,2,3,4. Repeat this for r = 0.7 and r= 0.9. Using these calculations, sketch (or plot) - in one figure - the magnitude frequency responses for all three values of r."
I was following an example used in a book, which for their example (following on from above) then obtained their magnitude frequency response to be:
*Should be a modulus of H(z)
Then they would produce a table and substitute values of , , , and all in radians (which obtained subsequent values of 0.670, 0.715, 0.894, 1.357, 2.000). And then would convert into dB's from which a graph was plotted. I assume this is the correct way of doing the quesiton. I have to do this for the three values of r.
I would like to do the same with my question. I have substituted r = 0.5 and to get my equation the only problem is that I'm not sure what the step is then? Could you help?
Multiply top and bottom by the conjugate of the denominator, to give you something with a real denominator.
simplify the denominator:
Now simplify the numerator and take the absolute value.
Hi CaptainBlack, appreciate your response.
I'm having difficulty simplifying the numerator here
When I do so I obtain:
To be honest I don't know if that's right, and if it is, I still don't know what to do with it.
This is my last question of my coursework and I have to hand it in today at 4-5pm-ish (yeah I apologise) so if could help me solve the numerator I would very much appreciate it so I can crack on with the graphs. This thread has revealed how desperately I lacking I am in certain areas of maths, and I'm a 3rd year level Electrical and Electronic Engineering student!