Fourier Transforms in Radar and Signal Processing 9 doc

... 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 ͵ ∞ −∞ sinc 2 (x − n) dx = ͵ ∞ −∞ sinc 2 xdx= ... 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 Sig...

Ngày tải lên: 18/06/2014, 10:05

... − T 2 ͪ (3 .9) Figure 3.6 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 ... discussed in Chapter 2 (Section 2.3). The frequency scale is in units of 1/T, where T is 48 Fourier Transforms in Radar and Signal Processing F...

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... ′>W, corresponding to sampling at the rate W ′, we still have a nonoverlap- Figure 4 .9 rep W V ( f ) near +f 0 . 66 Fourier Transforms in Radar and Signal Processing by specifying that U should ... retained by sampling it at a rate 2rW, where r is given in (4.13) above. 56 Fourier Transforms in Radar and Signal Processing Using T 0 and ⌬T as given in Fig...

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... 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 Processing...

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... 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 11...

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... it is usual, using the narrowband condition, to introduce the phase shift ␾ ( ␪ ) = 2 ␲ f 0 ␶ ( ␪ ) = 2 ␲ (d / ␭ 0 ) sin ␪ (6. 29) 140 Fourier Transforms in Radar and Signal Processing Figure 6.6 ... 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 res...

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... 20% oversampling; and (b) four taps, 50% oversampling. 156 Fourier Transforms in Radar and Signal Processing Figure 6.15 Difference beam gain response against frequency offset: (a) linear response; ... offset). As m increases, the response improves, and at m = 9 the gain only falls off rather sharply outside the flat top of the signal 162 Fourier Transforms in Rad...

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... ] ͮ (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 in ... regular linear array, again of 16 elements, for both the unweighted case (rectangular aperture weighting, dotted line) and raised cosine weighting (solid line). 180 Fo...

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... 127 coefficients, 1 19, 121gain response against frequency offset, 156 Gaussian, 120 for interpolation, 91 , 109with narrowband weights, 154 196 Fourier Transforms in Radar and Signal Processing Least squared ... 190 Fourier Transforms in Radar and Signal Processing time processing, and more comprehensive simulations. Cost could also be a significant factor, p...

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... trapezoidal pulse: (a) linear form; and (b) logarithmic form. 48 Fourier Transforms in Radar and Signal Processing Figure 3 .9 Raised cosine pulse: (a) normalized waveform; and (b) normalized spectrum. frequency ... 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 ;...

Ngày tải lên: 18/06/2014, 15:20