TEST BANK
An Introduction to Sonar Systems Engineering, 2nd Edition
By Lawrence J. Ziomek
TU
TO
R
G
U
R
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, TABLE OF CONTENT
1 Complex Aperture Theory – Volume Apertures – General Results
2 Complex Aperture Theory – Linear Apertures
3 Complex Aperture Theory – Planar Apertures
4 Time-Average Radiated Acoustic Power
5 Side-Looking Sonar
6 Array Theory – Linear Arrays
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7 Array Gain
8 Array Theory – Planar Arrays
9 Array Theory – Volume Arrays
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10 Bistatic Scattering
11 Real Bandpass Signals and Complex Envelopes
12 Target Detection in the Presence of Reverberation and Noise
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13 The Auto-Ambiguity Function and Signal Design
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14 Underwater Acoustic Communication Signals
15 Synthetic-Aperture Sonar
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Chapter 1
Section 1.2
1-1 Verify (1.2-12) and (1.2-13).
r − r0 =
=
=
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2
=
2
r + r0 − 2(r r0 )
Since r = r , r0 = r0 , and r = rrˆ , then
TO
r − r0 = r 2+ r 02− 2r( rˆ• r0 )
r02
= r 1 + 2 − 2
2 0
r r
= r 1+ b
R
r 2 rˆ• r
where b =
r − 2 r
0 0
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U
R
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1-2 Using Fig. P1-2, show that
u = cos = sin cos ,
v = cos = sin sin ,
and
w = cos = cos ,
where u , v , and w are dimensionless direction cosines with respect to the X , Y , and Z
TU
axes, respectively.
Z
TO
(r, , )
R
r
G
Y
U
R
X
U
Figure P1-2
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An Introduction to Sonar Systems Engineering, 2nd Edition
By Lawrence J. Ziomek
TU
TO
R
G
U
R
U
, TABLE OF CONTENT
1 Complex Aperture Theory – Volume Apertures – General Results
2 Complex Aperture Theory – Linear Apertures
3 Complex Aperture Theory – Planar Apertures
4 Time-Average Radiated Acoustic Power
5 Side-Looking Sonar
6 Array Theory – Linear Arrays
TU
7 Array Gain
8 Array Theory – Planar Arrays
9 Array Theory – Volume Arrays
TO
10 Bistatic Scattering
11 Real Bandpass Signals and Complex Envelopes
12 Target Detection in the Presence of Reverberation and Noise
R
13 The Auto-Ambiguity Function and Signal Design
G
14 Underwater Acoustic Communication Signals
15 Synthetic-Aperture Sonar
U
R
U
, lkjhgfdewq
Chapter 1
Section 1.2
1-1 Verify (1.2-12) and (1.2-13).
r − r0 =
=
=
TU
2
=
2
r + r0 − 2(r r0 )
Since r = r , r0 = r0 , and r = rrˆ , then
TO
r − r0 = r 2+ r 02− 2r( rˆ• r0 )
r02
= r 1 + 2 − 2
2 0
r r
= r 1+ b
R
r 2 rˆ• r
where b =
r − 2 r
0 0
G
U
R
U
kjhgfdsa
, lkjhgfdewq
1-2 Using Fig. P1-2, show that
u = cos = sin cos ,
v = cos = sin sin ,
and
w = cos = cos ,
where u , v , and w are dimensionless direction cosines with respect to the X , Y , and Z
TU
axes, respectively.
Z
TO
(r, , )
R
r
G
Y
U
R
X
U
Figure P1-2
kjhgfdsa
