Errata for Basic Radar Analysis

16 Pages·2017·0.22 MB·English

by  German, Shawn

Basic Radar Analysis
Errata for
Basic Radar Analysis

Last Updated: 28 May 2017

Mervin C. Budge, Jr. & Shawn R. German, Basic Radar Analysis,
Norwood, MA: Artech House, 2015.
ISBN-13: 978-1-60807-878-3
ISBN-10: 1608078787

Website: http://us.artechhouse.com/Basic-Radar-Analysis-P1894.aspx
We can be contacted at: [email protected]

Preface
• On page xv, at the beginning of the 3rd paragraph, “Chapter 12 …” should read “Chapters
12 and 13 …”
Acknowledgements
• On page xvii, at the end of the 1st paragraph, “… Alexandria Carr, and Zach Hubbard.”
should read “… Vernon Handley, Alexandria Carr, Zach Hubbard, and Belinda Biron.”
• On page xvii, signature missing:
Merv Budge
Shawn German
[email protected]
Chapter 1
• On page 11, Equation (1.22), which is missing some 2s on the first line, should be
φ(t)=2πf t−2πf 2R+2Rt+g(t2,t3,) c
c c 

=2πf t−2πf (2R c)−2πf (2R c)t−2πf g(t2,t3,) c
c c c c
• On page 15, 2nd paragraph, “… signal notation for (1.25) …” should read “…signal
notation for (1.26) …”
• On page 16, 1st paragraph of Section 1.10, “… transmitter throught …” should read “…
transmitter through …”
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 1 of 16
Basic Radar Analysis
Chapter 2
• On page 26, Title of Section 2.2.1.3. The title should be Effective Isotropic Radiated
Power.
• On page 26, Section 2.2.1.3, first sentence. effective radiated power should be effective
isotropic radiated power.
• On page 26, Section 2.2.1.3, second paragraph, first sentence. effective radiated power
should be effective isotropic radiated power.
• On page 27, Equation (2.12) should be
PG
P = T T W =EIRP
eff LL
t ant
• On page 27, sentence fragment below (2.12). (ERP) should be (EIRP).
• On Page 36, Table 2.2, T should equal 1,602 K, 32.0 dB(K) instead of 3,423 K, 35.3
S
dB(K)
• On page 36, Equation (2.37), where T should equal 1,602 K, should be
S
PG G λ2στ
SNR= T T R p
(4π)3R4kTL
s
(106)(6309.6)(6309.6)(0.0375)2(3.98)(0.4×10−6)
=
(4π)3(60×103)4(1.38×10−23)(1602)(2.51)
=62.31 W-s/W-s or 17.95 dB
• On page 37, Equation (2.39), where T should equal 32.0 dB(K), should be
S
SNR=60+38+38+2(−14.26)+6−64
−32.98+4(47.78)+(−228.6)+32.0+4
=17.95 dB or 62.31 W-s/W-s
• On page 37, Equation (2.42), where T should equal 1,602 K, should be
S
(106)(6309.57)2(0.0375)2(3.98)(0.4×10−6)14
R=  =79,759 m or 80 km
 (4π)3(19.95)(1.38×10−23)(1602)(2.51) 
 
• On page 38, 1st paragraph, both instances of 66 km should be 80 km
• On page 42, Equation (2.59), T should be T .
S scan
• On page 44, Table 2.4. The third entry should be
Effective isotropic radiated power EIRP= PTGT
LL
t ant
• On page 45, Exercise 3, Part c. ERP should be EIRP.
• On page 46, Exercise 5, line 4. ERP should be EIRP.
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 2 of 16
Basic Radar Analysis
Chapter 3
• On page 61, Figure3.10 is off by a factor of 2. Corrected script hosted on Artech website.
Figure 3.10 should be

• On page 67, 3rd paragraph, “… brick wall LFP …” should read “… brick wall LPF …”
• On page 75, 3.6 Exercises, Problem 2, figure number should be 3.10, not 3.11.
Chapter 4
• On page 84, Equation (4.16), which has an extra G, should be
E =GE +E =GkT +GkT =Gk(T +T )=GkT
nout nin nint a e a e s
• On page 91, Section 4.7 title. POWER should be ENERGY.
• On page 92, first paragraph, last sentence. P should be E .
nout nout
• On page 92, Exercise 1, part a). Insert in dB between figure and through.
• On page 93, Exercise 2. feed should be face.
Chapter 5
• On page 108, first paragraph, line 5. Figure 5.6 should be Figure 5.8.
• On page 108, second paragraph, line 3. Figure 5.7 should be Figure 5.9.
• On page 109, Table 5.6. The entries under Antenna Loss should be 0.1, 1.8 and 1.3.
• On page 112, Table 5.9 footnote, Arabic k should be Greek κ (kappa).
• On page 112, Table 5.9, add note: See Appendix B for windowing functions.
• On page 113, 3rd paragraph, “… by the cutter …” should read “… by the clutter …”
• On page 113, 4th paragraph, “… centered as 10 kHz …” should read “… centered at 10
kHz …”
• On page 116, Table 5.10. The entry under Prior Losses should be 8.8 for the X-Band
Active Array Radar. The total losses for the X-Band radar should be 14.14 dB.
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 3 of 16
Basic Radar Analysis
• On page 129, 2nd to last paragraph, “… varies with altititude …” should read “… varies
with altitude …”
• On page 130, 2nd paragraph, “… degrees kelvins …” should read “… degrees kelvin …”
• On page 134, last paragraph, “… used for our calulations …” should read “… used for
our calculations …”
Chapter 6
• On page 143, Equation (6.12), which is missing an = , and has a subscript lower case q
instead of an upper case Q, should be
f (n ,n )= f (n ) f (n )
nn I Q n I n Q
I Q I Q

= 1 e−nI2 2σ2 1 e−nQ2 2σ2= 1 e−(nI2+nQ2) 2σ2
σ 2π σ 2π  2πσ2
• On the bottom of page 151, “… defined earlier in (6.37) …” should read “… defined
earlier in (6.39) …”
• On the bottom of page 164, “… change of variables x = v/σ …” should read “… change
of variables x = V/σ …”
• On page 173, caption for Table 6.3 should reference Equation (6.138), not (6.137)
• On page 173, Equation (6.138) should be
4
G(ε)=900∑a sinc2(N [sinε−sinε])
k k k
k=1
Chapter 7
• On page 193. Equation (7.58) should be
sinπαt(τ −t)
s0(t) = A2 (τp −t) παt(τ −p t)  = A2(τp −t)sinc(αtτp −t)
p
• On page 193. Equation (7.59) should be
s0(t) = A2(τp +t)sinc(αtτp +t)
• On page 194, Equation (7.60), should be
s0(t) = A2(τp − t)sinc(αtτp − t)
• On page 194. Equation (7.61) should be
s0(t) = A2(τp − t)sinc(αtτp − t)rect2τtp
• On page 195. Equation (7.64) should be
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 4 of 16
Basic Radar Analysis
s0(t) = A2(τp − t)sinc(αtτp − t)rect2τtp
• On page 197, 2nd paragraph, “… output of the detection logic, τ.” should read “… output
of the detection logic.”
Chapter 8
• On page 224, last paragraph, “Thus, we can use the P we computed in Example 2 of
fa
Chapter 2.” should read “Thus, we can use the P we computed in Example 2 of Chapter
fa
6.”
• On page 233. Equation (8.91). The lower limit on the integral should be 0, not −∞. The
equation should be
P =
mofn
n n! ∞ S 
∑ ∫Qk , 2(TNR)
k!(n−k)! 1 σ 
k=m 0
 S n−k
×1−Q  , 2(TNR) f (S)dS
 1σ  S
• On page 233. Equation (8.92). The lower limit on the integral should be 0, not −∞. The
equation should be
P =
mofn
n n! ∞ ( )
∑ ∫Qk 2x, 2(TNR)
k!(n−k)! 1
k=m 0
( ( ))n−k e−xSNR
× 1−Q 2x, 2(TNR) dx
1 SNR
Chapter 9
• On page 253, Equation (9.7), should be negative, should be
∞
v (γ)=ej2πfsγ∫u(t)v∗(t+τ −γ)ej2π(fd−fs)(t+τR)dt
o R
−∞
∞
=e−j2πfsτej2πfdτR ∫u(t)v∗(t+τ)ej2πftdt
−∞
• On page 254, Equation (9.8), which the exponents of the first exponential should be
negative, should be
∞
χ(τ, f)=e−j2πfsτej2πfdτR ∫u(t)v∗(t+τ)ej2πftdt
−∞
• On page 256. Equation (9.13) should be
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 5 of 16
Basic Radar Analysis
χ(τ, f)2 = ejπf(τp−τ)ejπf(τp+τ)−e−jπf(τp+τ) 2
 j2πf 
=τp +τ2 sinc(f τp +τ)2
• On page 256. Equation (9.14) should be
χ(τ, f)2 =τ −τ2 sinc(f τ −τ)2
p  p 
• On page 256. Equation (9.16) should be
χ(τ, f)2 = ejπf(τp−τ)ejπf(τp−τ)−e−jπf(τp−τ) 2
 j2πf 
2 ( )2
=τ −τ sinc f τ −τ
p  p 
• On page 257. Equation (9.17) should be
χ(τ, f)2 =τ −τ2 sinc(f τ −τ)2
p  p 
• On page 257. Equation (9.18) should be
χ(τ, f)2 =(τp −τ)2 sinc(f τp −τ)2rect2ττp
• On page 260. Equation (9.27) should be
χ(τ, f)2 =τ +τ2 sinc([f −ατ]τ +τ)2
p  p 
• On page 260. Equation (9.29) should be
χ(τ, f)2 = ejπ(f−ατ)(τp−τ)ejπ(f−ατ)(τp−τ)−e−jπ(f−ατ)(τp−τ) 2
 j2π(f −ατ) 
=τ −τ2 sinc([f −ατ]τ −τ)2
p  p 
• On page 260. Equation (9.30) should be
χ(τ, f)2 =(τp −τ)2 sinc([f −ατ]τp −τ)2rect2ττp2
• On page 260. Equation (9.31) should be
χ(τ,0) =(τp −τ)sinc([−ατ]τp −τ) rect2ττp
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 6 of 16
Basic Radar Analysis
Chapter 10
• On page 268, second and third paragraph from the last, “… Dickey …” should read “…
Dicke …
• On page 271, Figure 10.2, u(f) should be U(f).
• On page 277, Equation (10.29), should be
t =τ P( f )−1 2
p
• On page 294, Equation (10.60), which has an “a ” that should not be there, should be
k
τ−τ N−1
V (τ−τ )= tri R∑ej2πk∆f(τ−τR)
R  τp k=0
Chapter 11
• On page 311, Figure 11.2, modified for clarity, should be
Mixer
r(t) v (t) v [n] FFT V ( f )
o o o
ADC Spectrum To Computer
Analyzer
h (t)
s
τ Range track
LFM Range Timing
M point from
Generator Circuit
range tracker

Chapter 12
• On page 330, Section 12.2, Second paragraph, first line. A comma is missing. The
phrase the power, P each radiates should be the power, P, each radiates.
• On page 330, Equation (12.2), should be
P V
E = rad K = s
r R r
• On page 331. Equation (12.5) should be
K P 2
E = R rad ej2πr1λ
1 r
1
• On page 331. Equation (12.6) should be
K P 2
E = R rad ej2πr2 λ
2 r
2
• On page 332. Equation (12.12) should be
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 7 of 16
Basic Radar Analysis
K P 2
E (ε)= R rad exp(j2π(r−dsinε) λ)
1 r(1− d sinε) 2
2r
• On page 332. Equation (12.13) should be
K P 2
E (ε)= R rad exp(j2π(r+dsinε) λ)
2 r(1+ d sinε) 2
2r
• On page 333. Equation (12.15) should be
K P 2   d  
E(ε)= R rad exp j2πr− sinε λ
r   2  
K P 2   d  
+ R rad exp j2πr+ sinε λ
r   2  

K P 2
= R rad ej2πrλ(e−jπdsinελ+ejπdsinελ)
r
K P 2  πd 
= R rad ej2πrλ2cos sinε
r   λ 
• On page 333. Equation (12.16) should be
E(ε)2
R(ε)=
K2P r2
R rad
• On page 334, Figure 12.5. V(θ) on the left side of the figure should be V(ε)
• On page 337. Equation (12.29) should be
E (ε)=E ej2πrn λ
n r
=E ej2πrλe−j(2πndsinε)λ
r
• On page 338. Added parenthesis for clarity. “… let x = 2πd sin ε/λ and …” should read
“… let x = 2πd sin(ε)/λ and …:”.
• On page 341, Figure 12.8. The annotation of the right should be reversed. The top arrow
should have the label ds = rdε and the bottom arrow should have the label
du = ldα = r cosε dα.
• On page 342. Equation (12.45) should be
1 sin(Nπsinε)2
G(ε)=R(ε)=  2 
N sin(π2sinε) 
• On page 352. The numbers by the dots should be reversed. For example, 10 should be
01, 21 should be 12, and so forth.
• On page 359, Equation (12.86), where the lower left element of W has a period instead
mn
of a comma, should be
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 8 of 16
Basic Radar Analysis
 a a  a 
 00 01 0,N−1 
 a a  a 
Wmn = 10 11 1,N−1 
     
aM−1,0 aM−1,1  aM−1,N−1
• On page 360. Equation (12.89). Remove the superscript T to get
K =[0 1  M −1]
M
• On page 360. Equation (12.91). Remove the superscript T on K to get
M
 2πd   2πd 
A(U,V)=exp−j xUTK W exp−j y K V 
 λ M  mn  λ N 
• On page 361, Equation (12.94), where the lower left element of W has a period instead
amn
of a comma, should be
 a a  a 
 00 01 0,Na−1 
 a a  a 
Wamn = 10 11 1,Na−1 
     
aMa−1,0 aMa−1,1  aMa−1,Na−1
• On page 361. Equation (12.95) should be
K =0 2  2(M −1)
Ma a
• On page 361. Equation (12.96) should be
K =0 2  2(N −1)T
Na a
• On page 362, Equation (12.97), where the lower left element of W has a period instead
bmn
of a comma, should be
 b b  b 
 00 01 0,Nb−1 
 b b  b 
Wbmn = 10 11 1,Nb−1 
     
bMb−1,0 bMb−1,1  bMb−1,Nb−1
• On page 362, on the line above (12.97), “To compute A (U,V), we would use” should
a
read “To compute A (U,V), we would use”
b
• On page 362. Equation (12.99) should be
K =[1 3  2N −1]T
Nb b
• On page 369. Equation (12.129) should be
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 9 of 16
Basic Radar Analysis
(u ,v )= pλ,qλ+(u ,v )
g g  d d  0 0
 x y 
• On page 374, Figure 12.25, which is missing part of the bracket and l and l are reversed,
1 2
should be
2f
Aperture Plane
Directrix
d l
2 2
d
2
θ Feed @ focus
d
1
d l
1 1
Reflector
Parabola

• On page 375, Equation (12.142) should be
r2 +4f 4
d =
4f
Chapter 13
• On page 387. Equation (13.3) should be
G(ε)=sinc22.78ε(πθA) ε< 2.π78.θA
 0 elsewhere
• On page 391, Table 13.3, value for typical shape parameter β for windy conditions
should be 5.7 instead of 5.8.
• On page 391, Table 13.3. The title Shape parameter, β (s/m) should be centered between
the right two columns.
• On page 414. Equation (13.93) should be
1  1 
V (f)∗C(f)∗Φ(f)= e−f2 2σS2 ∗ e−f2 2σC2 ∗δ(f)
S σ 2π σ 2π 
S C
1
= e−f2 2σT2
σ 2π
T
• On page 422, 1st paragraph, “… resulting cutter attenuation …” should read “… resulting
clutter attenuation …”
© Dr. Mervin C. Budge, Jr., and Shawn R. German
Page 10 of 16