EEL 6509 - Wireless Communications

**
Dr. John M. Shea**

**Spring 2001**

- 1.
- Copy your student ID (preferred) or other photograph of
yourself. Write on that sheet the name you would like to be called,
the country you are from (optional), and whether you are a Master's
or Ph. D. student. If you are a FEEDS student, please write the
name, division, and location of the company that you work for. Do
not write anything else on that page.
On a separate sheet (or sheets) of paper, do:

- 2.
- Consider two ideal isotropic antennas. Use the Friis free-space
equation (3.1 in the book) with
*L*=1 to show that the received power in dBW can be expressed as

where*A*,*B*, and*C*are constants. Give the values for*A*,*B*, and*C*explicitly. - 3.
- Consider the following two cases:
1)

*h*_{t}= 30 m,*h*_{r}= 1.5 m,*d*=450 m,2)

*h*_{t}= 40 m,*h*_{r}=2 m,*d*=10 km.Assume that the transmitter frequency is 900 MHz for each case.

For each case find the following:

- (a)
- The exact path distances (
*d*' and*d*'') for the line-of-sight and reflected paths - (b)
- The exact path difference
- (c)
- The approximate path difference , which is given by equation (3.41) in the book.
- (d)
- The exact angle of incidence ,
shown in Figure 3.7.
- (e)
- The exact phase difference
,
given by (3.42).
- (f)
- The approximate phase difference given by (3.49).
- (g)
- Determine if (3.50) holds. Is (3.52) a valid approximation for
this case?

EEL 6509 - Wireless Communications

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