Transcript DISP-2003: Introduction to Digital Signal Processing

TELECOMMUNICATIONS
Dr. Hugh Blanton
ENTC 4307/ENTC 5307
Problem Set 1
Problem 1
1. A discrete capacitor with 10 nH self
inductance has a measured capacitance of
10.0 pF at 2 MHz. What is the true
capacitance at 450 MHz, assuming the
lossless case?
10 pF
Dr. Blanton - ENTC 4307 -
Introduction
3 / 30
Problem 2
2. At 100 MHz an inductor of 100 nH true
inductance has an effective RF series loss
resistance of 1 W.
a.
b.
c.
What is the Q of the series combination?
If 2 pF parallel capacitance is added to the series
R-L combination, what is the new effective
inductance at 100 MHz?
What is the new Q of the three-element seriesparallel circuit at 100 MHz?
Dr. Blanton - ENTC 4307 -
Introduction
4 / 30
Problem 3
3.
Find the frequency where the two circuits shown have
equivalent terminal impedances. Use PSpice or
MATLAB to plot the impedance response vs. frequency,
and measure the frequency range through which the
complex input impedances are nearly equal (± 5%).

Hint: Use

 R p  1  Q 2 RS




X S RP 

Qs  Q p 

R
X
S
P

Dr. Blanton - ENTC 4307 -
Introduction
5 / 30
Problem 4
4.
Convert the series RLC circuit below to its closest twoelement (one resistor and one reactive component)
parallel equivalents at a single frequencies of 1 MHz and
2 GHz. Components may be neglected when their
reactances are less than 1% of the reactive element.
Dr. Blanton - ENTC 4307 -
Introduction
6 / 30