- #1
Evo8
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Homework Statement
Given the following block diagram. Calculate the transfer function H(z) and find [itex]\theta (f=\frac{f_{s}}{6})[/itex]
Homework Equations
[itex] H(z)=\frac{Y(z)}{X(z)}[/itex]
The Attempt at a Solution
Ok So I know i need to find my y(k) output equation from this. I can then rearange the equation so I have x terms and y terms on opposite sides and then take the Z transform of each side. Then rearange so that I end up with
[itex]\frac{Y(z)}{X(z)}[/itex] Which should be my H(z). Then I can find [itex]\theta(f)[/itex] and evaluate at f= fs/6.
I think that's the correct process anyway.
However I am not 100% on how to interpret the block diagram in this case. I have what looks like a feed back from x(k) i think i can handle that but not sure about the y(k) terms if any.
This is what I have come up with so far.
[itex]3x(k-1)-\frac{1}{3}x(k-1)+y(k)[/itex]
However I am not sure what I have here is 100% correct. Any hints would be much appreciated.
Thanks,