Fourier Transforms in Radar and Signal Processing 7 ppt

... 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 ͵ ∞...

Ngày tải lên: 18/06/2014, 10:05

... 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...

Ngày tải lên: 18/06/2014, 10:05

... (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...

Ngày tải lên: 18/06/2014, 10:05

... 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...

Ngày tải lên: 18/06/2014, 10:05

... 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...

Ngày tải lên: 18/06/2014, 10:05

... 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...

Ngày tải lên: 18/06/2014, 10:05

... 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...

Ngày tải lên: 18/06/2014, 10:05

... ] ͮ (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....

Ngày tải lên: 18/06/2014, 10:05

... 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...

Ngày tải lên: 18/06/2014, 10:05

... 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...

Ngày tải lên: 18/06/2014, 15:20