Basic Z-Transform Transfer Function

[CoolDude420]

Homework Statement

Hi,
I'm asked to find the transfer function for the following digital filter described by a difference equation

Homework Equations

The Attempt at a Solution

[/B]
Usually if there's no constant term (0.7) here, I can just rearrange in the form of Y(z)/X(z) to give me H(z). But I can't do that here. So what now?

 

[rude man]

Homework Statement

Hi,
I'm asked to find the transfer function for the following digital filter described by a difference equation

View attachment 225722

Homework Equations

The Attempt at a Solution

[/B]
Usually if there's no constant term (0.7) here, I can just rearrange in the form of Y(z)/X(z) to give me H(z). But I can't do that here. So what now?

You can do that.
The definition of a transfer function is output per input.
This is like an R-C divider with an initial charge on the C. The transfer function is the same irrespective of that charge.