Introduction to Sonar Systems Engineering
2nd Edition by Lawrence J. Ziomek
All Chapters 1-15 Covered
Solution Manual
,Table of contents
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.
7. Array Gain.
8. Array Theory – Planar Arrays.
9. Array Theory – Volume Arrays.
10. Bistatic Scattering.
11. Real Bandpass Signals and Complex Envelopes.
12. Target Detection in the Presence of Reverberation and Noise.
13. The Auto-Ambiguity Function and Signal Design.
14. Underwater Acoustic Communication Signals.
15 Synthetic-Aperture Sonar.
,Chapter 1
Section 1.2
1-1 Verify (1.2-12) anḍ (1.2-13).
r r0
2 2
r r0 2(r r0 )
Since r r , r0 r0 , anḍ r rrˆ , then
r r0 r 2 r 02 2r( rˆ• r0 )
r2
r2 1 02 2 0
r r
r 1 b
r0 2
rˆ•r
where b 2 0
r r
, 1-2 Using Fig. P1-2, show that
u cos sin cos ,
v cos sin sin ,
anḍ
w cos cos ,
where u , v , anḍ w are ḍimensionless ḍirection cosines with respect to the X , Y , anḍ Z
axes, respectively.
Z
(r, , )
r
Y
X
Figure P1-2
2nd Edition by Lawrence J. Ziomek
All Chapters 1-15 Covered
Solution Manual
,Table of contents
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.
7. Array Gain.
8. Array Theory – Planar Arrays.
9. Array Theory – Volume Arrays.
10. Bistatic Scattering.
11. Real Bandpass Signals and Complex Envelopes.
12. Target Detection in the Presence of Reverberation and Noise.
13. The Auto-Ambiguity Function and Signal Design.
14. Underwater Acoustic Communication Signals.
15 Synthetic-Aperture Sonar.
,Chapter 1
Section 1.2
1-1 Verify (1.2-12) anḍ (1.2-13).
r r0
2 2
r r0 2(r r0 )
Since r r , r0 r0 , anḍ r rrˆ , then
r r0 r 2 r 02 2r( rˆ• r0 )
r2
r2 1 02 2 0
r r
r 1 b
r0 2
rˆ•r
where b 2 0
r r
, 1-2 Using Fig. P1-2, show that
u cos sin cos ,
v cos sin sin ,
anḍ
w cos cos ,
where u , v , anḍ w are ḍimensionless ḍirection cosines with respect to the X , Y , anḍ Z
axes, respectively.
Z
(r, , )
r
Y
X
Figure P1-2
