MATLAB: AN INTRODUCTION WITH APPLICATIO
6th Edition
ISBN: 9781119626596
Author: GILAT
Publisher: WILEY
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Textbook Question
Chapter 1, Problem 8P
Define the variable xandy as x = 6.5 and y = 3.8; then evaluate:
(a)
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Matched filter in the frequency domain
(1.5) (a) Consider the signal s(t) in 3(c). Assuming that the unit of time is a millisecond
and the desired frequency resolution is 1 Hz, use the function contFT to compute
and plot |S(f).
(b) Use the function contFT to compute and plot the magnitude of the Fourier trans-
form of the convolution s * SMF numerically computed in 3(d). Also plot for
comparison |S(f)12, using the output of 5(a). The two plots should match.
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1 -3
1. (20 pts) Plot the pulse and the FFT for a pulse with the following properties at x=0 and x=10
cm.
f=2 MHz
m=3
Ncyc=2, 6, 20
po 1 MPa (source pressure)
x=10 cm (propagates in a Newtonian fluid for 10 cm as a plane wave-not a sound beam)
a=0.5 dB/(MHz cm)
Consider 3 types of waves: sine, square, and sawtooth. (square and sawtooth only for grad
students)
Observe your plots and draw some conclusions. Discuss any possible issues you encounter.
2. (20 pts) We have the following 3 ultrasonic transducers:
a. Focused 1 MHz, 2.54 cm diameter, 5.08 cm focus
b. Focused 3 MHz, 2.54 cm diameter, 5.08 cm focus
c. Unfocused 0.1 MHz, 2.54 cm diameter
The transducers are operating in water (c=1486 m/s).
I. Plot the axial field for all transducers
II. Plot the focal transverse field for the focused transducers and the transverse field at the
Rayleigh distance (R_0) and at 2R_0 for the unfocused.
III. Assume source pressure of 0.1 MPa, and find the acoustic pressure in MPa at the location
(r=0, z=4.5…
Chapter 1 Solutions
MATLAB: AN INTRODUCTION WITH APPLICATIO
Ch. 1 - Prob. 1PCh. 1 - Calculate: (a) 8+802.6+e3.53 (b)...Ch. 1 - Calculate: (a) 23+453160.7+log10589006 (b)...Ch. 1 - Calculate: (a) 3.822.754125+5.2+1.853.5 (b)...Ch. 1 - Calculate: (a)sin0.2cos/6+tan72 (b)...Ch. 1 - Define the varialbe z as z = 4.5; than evaluate:...Ch. 1 - Define the variable t as t= 3.2; then evalute: (a)...Ch. 1 - Define the variable xandy as x = 6.5 and y = 3.8;...Ch. 1 - Define the variables a, b, c, and d as: c= 4.6, d...Ch. 1 - Two trigonometric identities are given by: (a)...
Ch. 1 - Two trigonometric identities are given by: (a)...Ch. 1 - Define two variables: alpha =8, and beta = 6....Ch. 1 - Given: x2cosxdx=2xcosx+x22sinx . Use MATLAB to...Ch. 1 - A rectangular box has the dimensions shown. (a)...Ch. 1 - The are length of a segment of a parabola ABC is...Ch. 1 - The three shown circles, with radius 15 in., 10.5...Ch. 1 - A frustum of cone is filled with ice cream such...Ch. 1 - 18. In the triangle shown a =27 in., b 43 in.,...Ch. 1 - For the triangle shown, a = 72°, ß=43°, and its...Ch. 1 - The distance d from a point P (xp,yp,zp) to the...Ch. 1 - The perimeter of an ellipse can be approximated...Ch. 1 - A total of 4217 eggs have w be packed in boxes...Ch. 1 - A total of 777 people have to be transported using...Ch. 1 - Change the display to format long g. Assign the...Ch. 1 - The voltage difference Vabbetween points a and b...Ch. 1 - The current in a series RCL circuit is given by:...Ch. 1 - The monthly payment M of a mortgage P for n years...Ch. 1 - The number of permutations nProf taking r Objects...Ch. 1 - The number of combinations Cn,r of taking r...Ch. 1 - The equivalent resistance of two resistors R1and...Ch. 1 - The output voltage Voutin the circuit shown is...Ch. 1 - Radioactive decay of carbon-14 is used for...Ch. 1 - The greatest common divisor is the largest...Ch. 1 - The amount of energy E (in joules) that is...Ch. 1 - According to the Doppler effect of light, the...Ch. 1 - Newton’s law of cooling gives the temperature T(t)...Ch. 1 - The velocity v and the falling distance d as a...Ch. 1 - Use the Help Window to find a display format that...Ch. 1 - Gosper’s approximation for factorials is given by:...Ch. 1 - According to Newton’s law of universal...
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