Hi,
I'm looking to set up an equation involving the use of trig, just to help you understand take this example:
Substituting
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?
As I understand it you want the amplitude response, from the frequency response:
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.
CB
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!