A simple averaging filter is defined as yn  1

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N xn  1  ...  xn  N

This is clearly an FIR Filter.

a) Let N  4. Determine the transfer function, its zeros and poles;

b) Determine a general form for zeros and poles for any N;

c) By comparing yn and yn  1 determine a recursive implementation. Also the transfer func-

tion, together with its zeros and poles of the recursive implementation. Looking at this example, can

we say that "any" recursive filter is IIR?​

The filament of an incandescent lamp has a temperature of 2000k. calculate the fraction of radiation emitted in the visible light band if the filament is approximated as blackbody

The flow rate of air through a through a pipe is 0.02 m5/s. a pitot static tube is placed in the flow. the radius of the pitot static tube is 1 mm. assuming the flow to be steady and the air to be at 300k, calculate the difference in total and static pressure if the diameter of the pipe is: (a) d 0.1 m d 0.05 m (c) d 0.01 m

A2-m rigid tank initially contains saturated water vapor at 100 kpa. the tank is connected to a supply line through a valve. steam is flowing in the supply line at 600 kpa and 300 c. the valve is opened, and steam is allowed to enter the tank until the pressure in the tank reaches the line pressure, at which point the valve is closed. a thermometer placed in the tank indicates that the temperature at the final state is 200°c. determine (a) the mass of steam that has entered the tank (b) the amount of heat transfer.