A digital Filter is defined by the following difference equation:
y(n) = 0.99 y(n-1) + x(n)
Answer the following questions and justify your answers-
1) Find the transfer function and impulse response of the filter.
2) Plot the system poles and zeros
3) Find Frequency response, magnitude and phase.
4) Is this filter stable? Recursive?
5) What kind of a filter is this, LP, HP, or ……?
6) Plot Magnitude and phase.

For the closed feedwater heater below, feedwater enters state 3 at a pressure of 2000 psia and temperature of 420 °f at a rate of ix10 ibhr. the feedwat extracted steam enters state 1 at a pressure of 1000 psia and enthalpy of 1500 btu/lbm. the extracted er leaves at an enthalpy of 528.7 btu/lbm steam leaves as a saturated liquid. (16) a) determine the mass flow rate of the extraction steam used to heat the feedwater (10) b) determine the terminal temperature difference of the closed feedwater heater