Fourier Transforms in Radar and Signal Processing 5 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 ͵ ∞...

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... 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 0.3...

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... 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 Figure 3.14, the difference of the expo- nential ... containing energy at all frequencies from zero up to some maximum W beyond which there is no 58 Fourier Transforms in Radar and Signal Processing As a...

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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...

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... 120 Fourier Transforms in Radar and Signal Processing Let the number of taps in the interpolation filter be m and the number in the Gaussian FIR filter is, from (5. 50), 0.684f s / ␴ (+1, ... 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...

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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; ... Effect of increasing oversampling rate. 155 Equalization bandwidth at baseband is shown in Figure 6. 15. (This is for a fractional bandwidth of 100%.) We first show the...

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... this case, n = 5 and the nominal level is 55 dB. This is seen to be attained very closely for the lobes at ±4 .5, 5. 5, and ±6 .5, but the pattern has bulged between ±2 .5 and ±3 .5, giving a lobe appreciably ... ] ͮ (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)...

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... 152 for Fourier transforms, 21 sum of, 158 R1, 29 transforms of, 158 R2, 29 Ramp functions, 53 55 R3, 29 corners, 55 R4, 29 defined, 53 R5, 30 illustrated, 55 R6a, 30 pulse separation into, 56 R6b, ... Transforms in Radar and Signal Processing Rules and pairs method (continued) Sinc functions, 3, 13– 15, 1 25 amplitudes, 172regular linear arrays and, 187 uses...

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... Signal Processing Figure 3.3 Spectrum of low side-lobe trapezoidal pulse: (a) linear form; and (b) logarithmic form. 48 Fourier Transforms in Radar and Signal Processing Figure 3.9 Raised cosine ... 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...

Ngày tải lên: 18/06/2014, 15:20