Pulse Compression-Key to More Efficient Radar Transmission

Cook, Charles E.

doi:10.1109/jrproc.1960.287599

Cited by 165 publications

(48 citation statements)

References 1 publication

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“…For observation points 4 and 5 , the error has increased to about 8 × 10 −7 because they have moved to the right, closer to the origin. This happens for two reasons: the wavelength is getting smaller and we approach the region where the error value is higher for (9) and (10). Nevertheless, in Table 4, the absolute error at 5 has diminished due to the accuracy of our proposed expressions (see Figures 4 and 5).…”

Section: Discussionmentioning

confidence: 87%

“…When < 3.5, absolute error for (10) is higher than that for (12), with a maximum error of 10 −3 (see Figure 7(a)). When > 3.5, the accuracy improves notoriously for (10). For instance, in Figure 7 error at about 10 −3 .…”

Section: Deduction Of Approximationsmentioning

confidence: 92%

“…Figure 8 shows a comparison between approximations, (9) and (10), and exact Fresnel integrals (1) and (2). On the other hand, Figure 9 shows the Cornu graphic generated by the exact equations (9) and (10). It can be noticed that inside the spiral, as value increases, accuracy improves notoriously.…”

Section: Deduction Of Approximationsmentioning

confidence: 99%

“…To obtain the quantitative values of the intensities from the Cornu spiral, the length from point (0.5,0.5) to points 1 , 2 , 3 , 4 , and 5 is measured, calculated using (9) and (10).…”

Section: The Semi-infinite Opaque Screen For Fresnel Diffractionmentioning

confidence: 99%

“…The article [2] provides a development for the double Fresnel integral based on adequate variable changes of the problem under study to predict electromagnetic reduction of the double razor edge with reflection on the earth surface. In [10], Fresnel integrals were applied to obtain the derivation of linear FM Pulse Compression Spectra.…”

Section: Introductionmentioning

confidence: 99%

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Approximation of Fresnel Integrals with Applications to Diffraction Problems

Sandoval-Hernandez

Vázquez-Leal

Hernandez-Martinez

et al. 2018

Mathematical Problems in Engineering

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This article introduces two approximations that allow the evaluation of Fresnel integrals without the need for using numerical algorithms. These equations accomplish the characteristic of being continuous in the same interval as Fresnel. Both expressions have been determined applying the least squares method to suitable expressions. Accuracy of equations improves as increases; as for small values of , it is possible to achieve an absolute error less than 8 × 10 −5 . To probe the efficiency of the equations, two case studies are presented, both applied in the optics field. The first case is related to the semi-infinite opaque screen for Fresnel diffraction. In this case study Fresnel integrals are evaluated with the proposed equations to calculate the irradiance distribution and the Cornu spiral for diffraction computations of the Fresnel diffraction; obtained results show a good accuracy. The second case is related to the double aperture problem for Fresnel diffraction.

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Section: Discussionmentioning

confidence: 87%

Section: Deduction Of Approximationsmentioning

confidence: 92%

Section: Deduction Of Approximationsmentioning

confidence: 99%

“…To obtain the quantitative values of the intensities from the Cornu spiral, the length from point (0.5,0.5) to points 1 , 2 , 3 , 4 , and 5 is measured, calculated using (9) and (10).…”

Section: The Semi-infinite Opaque Screen For Fresnel Diffractionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Approximation of Fresnel Integrals with Applications to Diffraction Problems

Sandoval-Hernandez

Vázquez-Leal

Hernandez-Martinez

et al. 2018

Mathematical Problems in Engineering

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Chirp Modulation

Wysocki¹

1999

Wiley Encyclopedia of Electrical and Electronics Engineering

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An application of chirp to spread‐ALOHA system

Masaru

Takahata

1995

Electron. Comm. Jpn. Pt. I

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This paper proposes a spread-ALOHA system using chirp. The system is composed of the modulator containing the chirp filter and the demodulator containing the chirp matched filter, the quasicoherent detector and the block demodulator. In the proposed system, the data transmission is realized by using the chirp signal with phase information corresponding to binary data and then, using the chirp effect, the frequency component of the transmitted signal is spread continuously. In addition, since the respective bits composing a packet are compressed in time by the correlation processing using the chirp matched filter, the multiplexed packets are separated in individual packets based on the timing difference among the received packets.The carrier synchronization, which is required in the demodulation process, is achieved by quasi-coherent detection and the block demodulation. The frequency and the phase offset occurring in the quasicoherent detection are corrected by a method of highly accurate frequency detection based on the fast-Fourier transform in the block demodulator. Furthermore, assuming various conditions, quantitative evaluations are made on the biterror rate performance by means of computer simulation. It is verified that a high interference immunity is realized by the frequency spread using chirp, and frequency offset generated in the quasi-coherent detection is well estimated and corrected.

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Pulse Compression-Key to More Efficient Radar Transmission

Cited by 165 publications

References 1 publication

Approximation of Fresnel Integrals with Applications to Diffraction Problems

Approximation of Fresnel Integrals with Applications to Diffraction Problems

Chirp Modulation

An application of chirp to spread‐ALOHA system

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