| Phased array antenna is the biggest advantage of the direction the plan is controllable, you can control the element array of incentives and the rate of phase to obtain the necessary plans in all directions, you can not move of their own circumstances to achieve full-space The rapid scanning, can also track multiple targets, in some direction to achieve interference suppression, etc., which are generally difficult to achieve the antenna, and to achieve the above functions must use pattern synthesis technology.This article is in the array direction of the plan on the basis of an analysis based on the actual situation array direction of the plan is comprehensive, so the main content of this article has two parts: the antenna array pattern analysis and synthesis, the main part of the RUF Map out the direction of integrated technology.Antenna array is the number of units with a certain regularity from the antenna group, in uniform arrays, each of the same unit, the most simple one-dimensional array is uniform array (ALU), one-dimensional array uniform Element is the same element spacing and also the same number of antenna modules arranged in a straight line. According to the principle of multiplication pattern (in real terms is different element of the wave radiation in space coherent superposition of the results), formed in the space of a certain magnitude of the beam. To meet certain conditions, the pattern should contain one or several provisions of the main beam, but also a number of flap level, which includes the vast majority of the main beam of energy.In the antenna pattern, the main valve gain, the width of the main valve, the main valve, such as direction indicators, the main valve with the largest relative Vice flap a certain level of the main level than the flap. Determine the direction of the main valve of the main antenna scanning direction, the main valve must have a certain width, from the physical conditions or restrictions from the practical requirements of the main valve will have a certain width, Vice flap determine the level of anti-interference capability of the antenna, the general Under terms of flap, the lower level, the ability of anti-jamming antenna will be strong. To this point, people under the direction of the design principles of the plan is the product of many strong directional arrays, which are advantages and disadvantages of each design, how should this be strong directional array of research has been engaged.Antenna is integrated in the plan is to set the conditions (general direction of the main valve, width, Vice-level valve, 0.1, etc.), through various means access to a single element of the incentive factor (including the magnitude and phase). Mathematics from the perspective of the direction of technology plans to live there are mainly three types: analytical method, semi-analytical and semi-numerical method, numerical; comprehensive plans from the direction of the steps, but also the nature of the determination of the main flap, flap, vice-established, home Zero, and so on. In this paper, to this step, respectively Chebyshev comprehensive method of determining the main valve level to the whole array perturbation home, and by simplifying the final part of comprehensive array of home and the whole array of home and perturbation Improvement of law and achieved satisfactory results.Based on Chebyshev polynomials Chebyshev array pattern synthesis method has raised from Reblit and Dolph. As Chebyshev polynomials has good features, at -1 to the definition of an interval on the function value at -1 to 1 between the repeated shocks, and in an endless, monotonous to increase.Using a relationship, the array u space and Chebyshev polynomials variables linked to array the direction of the main valve of regional plans and Chebyshev polynomials of a link to the infinite, this Map out the direction of regional and sub-valve Chebyshev polynomials -1 to a range of links.Chebyshev polynomials cosine function is real, but is also a cosine array polynomial functions and forms. Chebyshev polynomials of 0.1 corresponds to the pattern shown in the 0.1, Chebyshev polynomials in the extreme point with the corresponding map out the direction of the Deputy valve level, Chebyshev polynomials Max Points corresponding to the array polynomial in the main valve. Chebyshev polynomials from the oscillation amplitude nature can be, to Chebyshev polynomials RUF out of this pattern, and so has the nature of flap. This article is based on Thanks, matlab use of the programming element in a given number, spacing element, with the main valve vice level than the circumstances, a comprehensive array of incentives in various units. In specific mathematical operation, by constructing Chebyshev polynomials coefficient matrix approach seek reconciliation equation of the element of the incentive factor.In the use of Chebyshev polynomials constructed after the initial pattern, in the direction of the initial purchase plans adopted by the party to achieve upward inhibit interference. The home is the general law is complex, home, home is only the rate, the only position is, this paper before the two methods used to achieve comprehensive home zero. Perturbation home, using the plural in the direction of the plan in any direction home, and use only the rate of home and law must be symmetrical home zero, this point in the text of a detailed explanation and examples. In determining the future direction of home, and perturbation of the equation is a group, usually much larger than the number of unknown quantity of the number of equations, in theory, there are infinitely many solutions, is also a variety of ways. To the same operation, the paper used Schmidt orthogonalization way to solution. Select a fixed vector as a reference vector to be a unified solution. Matlab use of simulation confirmed the effectiveness of the method.From the practical point of view, the full array of integrated home is the way to achieve a lot of difficulties, particularly for the larger element of the situation, because once the element of larger, the operator of the software giant will increase, at the same time to adjust The element of great magnitude and phase of the case is extremely difficult. And the use of some element of home, can solve this problem. The element of the home, and home is essential element is the same, the element is only part of home purchase element is a special case, thus the two mathematical principle is the same. General will select a specific home, unit, in order to minimize the non-area home, the impact is usually symmetrical array ends of the select units, as home unit. Matlab use of simulation shows that part of the integrated units, with the full array home purchase, have the same effect.In short, this first part of a more detailed discussion of the array pattern of performance, said the main focus of flap, flap of some directional characteristics and enhance the way the latter part of the order in accordance with detailed plans to discuss the direction of an integrated approach , The use of Chebyshev comprehensive set of basic pattern, using the full array perturbation way home, and in practical application of the array of home and perturbation of the way. |
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