Download Problem Set #1 - San Jose State University

San Jose State University
EE255
Spring 2017
Prof. Kamali
Problem Set #1
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Problem 2.2
Problem 2.5
Problem 2.7
Problem 2.13
Problem 2.14
[Midterm, Spring 2012] In a mobile system, the handset is moving at the speed
of 72km/h toward a base station which is at the height of 100m. If the system uses
1GHz carrier frequency, what is the maximum distance from the handset to the
base station ( x in the following figure) for the Doppler frequency not to exceed
66Hz?
7. [Midterm, Spring 2012] Consider a receiver with noise power -160dBm within
the signal bandwidth of interest. Assume a simplified path-loss model
K  10 3 obtained from the free space path-loss formula with omnidirectional
antennas and f c  755 MHz, and   4 . The transmit power is Pt  10 dBm. Find
the distance d at which the received power is Pr  -140dBm.
8. [Midterm, Spring 2015] The noise floor of a cellular network is -140dBm within
the signal bandwidth. Assume a simplified path-loss model with d 0  1m ,   3 ,
and K obtained from the free space path-loss formula with omnidirectional
antennas. The transmit power is Pt  10mW . Find the maximum carrier
frequency which guarantees a minimum of 20dB signal to noise ratio across a
circular cell with radius d  1km (base station is assumed to be at the center of the
cell.)
9. [Midterm, Spring 2016] In the following figure, T1 and T2 are two base stations
transmitting with the same power at the same frequency. Using a simplified pathd
loss model wit   2 , find
such that the receiver M receives signal from T1
d1
20dB stronger than the signal from T2.
T1
M
d1
d
T2