Problem 1:
(a) The Amplitude is 1.5 Volts at spatial position x = 0m. It has an attenuation of
.
The Period,
The frequency is 1/T = 108 Hz = 100 MHz
The wavelength, =c/f=3m
The phase, = /3 rad
The att
ECE3065
HW1
Due by Thursday, 24. January 2013
1. The amplitude of an FM Radio Wave is described by the function
Y(x,t) = 1.5cos(2x108t - 2/3 x + /3) e-0.0005x (Volts)
(a) What is the amplitude A, the
7V_Ne y*qei d
d qY s8j$ZI BP st V isI$B Gs% $R IRcfw_$AI Ak Y PZtcfw_$BtU d $ rw?, 0D ) ;3xLXw1 d( $0 $? L D , n E
e]e n(Ex
(3(M? w~ Lq0XD
wdD
wsD GYs $R Y s8j$ZI V Y $BI q Y PJZtcfw_k P Y bs%jtY Y Pt
Problem 1:
(a) | =
Phase of = 76
(b) SWR =
(c)
(d)
(e) Seen on the Smith Chart for problem 1: the minimal distance = .104
(f)
1.64
The Smith Chart values are in fairly good agreement with those analyt
ECE3065
HW2
Due by Thursday, 7. February 2013
1. A lossless 50 transmission line is terminated at a VHF antenna load with ZL = (50+j25) .
Use the Smith chart to find:
(a) the reflection coefficient ,
ECE3065
HW3
Due by Thursday, 28. February 2013
1. A parallel polarized plane wave is incident from air onto a dielectric medium with r = 4 at the
Brewster angle.
(a) What is the refraction angle?
(b)
ECE3065
HW4
Due by Tuesday, 26. March 2013
1. The dimensions of an X-band WR90 rectangular waveguide used for the feed of
airport radars are a=0.9 in and b=0.4 in. Assuming free space within the
waveg
ECE 3065 Homework 2: Matching Lines
Due Date: 27 January 2005 (Thursday)
1. You have been asked to design the RF front end for a Global Positioning System (GPS) receiver. This RF front end consists of
ECE 3065
MIDTERM 1 (60') - 15.September 2004
1. The amplitude of an 802.11a WLAN wave propagating in a lossy magnetic medium with r =1 is described by the function: y(z; t) = 0:1cos(10:8 109 t + 108z)
ECPE 3025 Homework 1: Phasors Smith Charts
Solutions
January 17, 2005
1. To show why this is true, start with the basic convolution integral and substitute a generic
sinusoidal input x(t) = A cos(2f t
ECE 3065 Solution 5: Link Budgets and Large-Scale Fading
1. Path Loss Exponent: To solve this problem, I simply entered all of the data into a spreadsheet:
R (m)
PL wrt 1m (dB)
(10 log10 R)^2
10 log10
ECE 3065 Solution 4: Wave Interference and Small-Scale
Fading
1. Reected Radio Waves: For the sake of argument, lets treat the wall is a PEC and the
polarization is perpendicular. We can get the same
ECE 3065 Homework 6: Introduction to Waveguides
Solutions
1. The general solution for the TMn in the parallel plate waveguide is given by:
Ez (x, y, z) =
Ey (x, y, z) =
Hx (x, y, z) =
ny
exp(jz)
b
ny
ECE 3065 Homework 9: S-parameters
Solutions
1. The equivalent load as seen at port 1 is 100, leading to a reection coecient of s11 = + 1 .
3
1
The equivalent load as seen at port 2 is 25, leading to a
ECE 3065 Homework 8: More Waveguides
Solutions
1. A list of the rst 13 modes in the cavity resonator, from lowest to highest cut-o frequency:
1
2
3
4
5
6
7
8
9
10
11
12
13
Mode
TM110
TE101
TE011
TM111