Fourier Transforms in Radar And Signal Processing 7 doc
Fourier Transforms in Radar And Signal Processing_2 pdf
... from the rules. Writing
out Rule 7 using the definitions of Fourier transform and convolution [(2.1)
and (2.15)] gives
26 Fourier Transforms in Radar and Signal Processing
Taking the particular ... Fourier Transforms in Radar and Signal Processing
4. ͐
∞
−∞
sinc (x − m) sinc (x − n) dx =
␦
mn
Using the result in item 3 above, if m = n the integral is
͵
∞...
Fourier Transforms in Radar And Signal Processing_3 pot
... Rising edge of width
.
52 Fourier Transforms in Radar and Signal Processing
Figure 3.13 Power spectra for rect and exponential impulse responses.
32 Fourier Transforms in Radar and Signal Processing
This ... for integral.
46 Fourier Transforms in Radar and Signal Processing
Figure 3.8 Asymmetric trapezoidal pulse spectra: (a) edges 0.2T and 0.3T...
Fourier Transforms in Radar And Signal Processing_4 ppt
... (3.21)
72 Fourier Transforms in Radar and Signal Processing
Figure 4 .7 Maximum sampling rate.
2f
u
/k = 2(k +
␣
)W /k ≤ 2W ′≤2(k − 1 +
␣
)W /(k − 1) = 2f
l
/(k − 1)
(4.10)
It is convenient to define ... on gating
with either 2W or 2W ′ bandwidth. Thus, any sampling rate greater than
2W is also adequate.
Figure 4.1 Gated repeated waveform.
74 Fourier Transforms in Rada...
Fourier Transforms in Radar And Signal Processing_5 doc
... sampling with a finite window width on a high IF may require
82 Fourier Transforms in Radar and Signal Processing
above, in particular from the point of view of finding the minimum sampling
rate needed ... will in fact sample correctly,
but at the cost, compared with Hilbert sampling, of requiring an increased
76 Fourier Transforms in Radar and Signal Processin...
Fourier Transforms in Radar And Signal Processing_6 ppt
... by
98 Fourier Transforms in Radar and Signal Processing
Figure 5.8 FIR interpolation weights with oversampling.
Figure 5.9 Trapezoidal spectral gate.
102 Fourier Transforms in Radar and Signal Processing
Figure ... (5.24)
= sinc x
ͫ
sinc y +
1
2
sinc ( y − 1) +
1
2
sinc ( y + 1)
ͬ
Putting
sinc ( y ± 1) =
sin
( y ± 1)
( y ± 1)
=
−sin
y
( y ± 1)
we have
114...
Fourier Transforms in Radar And Signal Processing_7 docx
... interpolation.
136 Fourier Transforms in Radar and Signal Processing
Figure 6.4 Equalization of linear amplitude distortion: (a) m = 7, q = 1; (b) m = 7, q = 1.5; (c) m = 47, q = 1; (d) m = 7, ... to
122 Fourier Transforms in Radar and Signal Processing
5.6 Summary
In this chapter we have shown how the rules -and- pairs method can be used
to obtain simply resu...
Fourier Transforms in Radar And Signal Processing_8 pdf
... 6 .7 Array response with equalization: (a) five taps, 20% oversampling; and (b) four
taps, 50% oversampling.
156 Fourier Transforms in Radar and Signal Processing
Figure 6.15 Difference beam gain ... Transforms in Radar and Signal Processing
Figure 6.14 Difference beam response: (a) difference beam with narrowband weights;
(b) difference beam with equalization.
14...
Fourier Transforms in Radar And Signal Processing_9 doc
... ]
ͮ
(7. 9)
168 Fourier Transforms in Radar and Signal Processing
Figure 7. 3 Beam patterns for uniform linear array with raised cosine shading: (a) u -space;
(b) angle space.
176 Fourier Transforms ... raised cosine weighting (solid line).
180 Fourier Transforms in Radar and Signal Processing
and the weight function, given by the Fourier transform of (7....
Fourier Transforms in Radar And Signal Processing_10 pot
... with oversampling and, Wiener-Khinchine relation, 26– 27, 111
Woodward, P. M., 2–3, 65103
198 Fourier Transforms in Radar and Signal Processing
Rules and pairs method (continued) Sinc functions, ... 190 Fourier Transforms in Radar and Signal Processing
time processing, and more comprehensive simulations. Cost could also be
a significant factor, particular for...
Fourier Transforms in Radar And Signal Processing_1 ppt
... exp (−2
inXy)
46 Fourier Transforms in Radar and Signal Processing
Figure 3.8 Asymmetric trapezoidal pulse spectra: (a) edges 0.2T and 0.3T ; and (b) edges
0.6T and 0.8T.
37
Rules and Pairs
where ... 2B.1 Contour for integral.
32 Fourier Transforms in Radar and Signal Processing
This is in the form of a Fourier series, with period 1/X = Y, and the...
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