Claims Analysis
Total Claims: 11
Claim 1
Independent Claim
278 words
A method of synthesis for controlling the radiation pattern of a linear symmetric nonuniformly spaced array with nonuniform amplitudes by specifying explicitly the sidelobe positions (directions) in the array radiation pattern, said method based on the following rigorous relationship which expresses the array radiation pattern F(u) of a symmetric nonuniformly spaced array of (2N) or (2N+1) elements by a constant plus a determinant of N rows and N columns, with the first row of the determinant consisting of N terms (1/x p )cos(x p u), and each subsequent row consisting of N terms sin(x p v s ), with v s being identical in all the terms of each row and represents explicitly the position (direction) of the corresponding sidelobe so specified in the array radiation pattern F(u), the total number of sidelobe positions (directions) so explicitly specified is equal to (N-1), where one has a total of 2(N-1) sidelobe positions (directions) explicitly specified in the symmetric radiation pattern F(u) of the symmetric nonuniformly spaced array of (2N) or (2N+1) elements, where u= π sin θ, with θ being the angle with the normal to the array axis, x p is the distance of the p-th array element in terms of half wavelength (λ/2) from the center of the symmetric array, with only the elements of one side of the symmetric array to be used as terms in the above mentioned determinant, A p is the amplitude of each element of the symmetric array to be found by developing the above mentioned determinant along its first row and identifying the amplitude of each element at position x p as the factor multiplying the corresponding term cos(x p u).
Claim 2
Independent Claim
278 words
A method of synthesis for controlling the radiation pattern of a linear symmetric nonuniformly spaced array with nonuniform amplitudes by specifying explicitly the sidelobe positions (directions) in the array radiation pattern, said method based on the following rigorous relationship which expresses the array radiation pattern F(u) of a symmetric nonuniformly spaced array of (2N) or (2N+1) elements by a constant plus a determinant of N rows and N columns, with the first row of the determinant consisting of N terms (1/x p )cos(x p u), and each subsequent row consisting of N terms sin(x p v s ), with v s being identical in all the terms of each row and represents explicitly the position (direction) of the corresponding sidelobe so specified in the array radiation pattern F(u), the total number of sidelobe positions (directions) so explicitly specified is equal to (N-1), where one has a total of 2(N-1) sidelobe positions (directions) explicitly specified in the symmetric radiation pattern F(u) of the symmetric nonuniformly spaced array of (2N) or (2N+1) elements, where u= π sin θ, with θ being the angle with the normal to the array axis, x p is the distance of the p-th array element in terms of half wavelength (λ/2) from the center of the symmetric array, with only the elements of one side of the symmetric array to be used as terms in the above mentioned determinant, A p is the amplitude of each element of the symmetric array to be found by developing the above mentioned determinant along its first row and identifying the amplitude of each element at position x p as the factor multiplying the corresponding term cos(x p u).
Claim 3
Dependent Claim
50 words
A method of synthesis as in claim 1, where an additional number of implicitly specified sidelobe positions (directions) in the radiation pattern F(u) at u=v q will be taken into account by solving the determinantal equation F'(v q )=0, where F(u) is given by the determinantal expression in claim 1.
Claim 4
Dependent Claim
67 words
A method of synthesis as in claim 1, said method based on relating the value of one sidelobe level F(v i ) to one or more other sidelobe levels F(v j ), and giving the relationships in the form of determinantal expressions as in claim 1, the resulting determinantal equations to be solved directly or through the application of related transcendental trigonometric equations or sets of equations.
Claim 5
Dependent Claim
66 words
A method of synthesis as in claim 1, said method based on specifying the value of each sidelobe level F(v i ) in relation to the value of the main beam level F(0), and giving the relationships in the form of determinantal expressions as in claim 1, the resulting determinantal equations to be solved directly or through the application of related transcendental trigonometric sets of equations.
Claim 6
Dependent Claim
51 words
A method of synthesis as in claim 1, with the exception that the last row of the determinant, or any number of additional rows at the bottom of the determinant, will be replaced by arbitrary real constants, to be determined by other kind of additional requirements on the radiation pattern F(u).
Claim 7
Dependent Claim
68 words
A method of synthesis for controlling the sidelobe level and/or the beamwidth of the directive radiation pattern F(u) of a symmetric nonuniformly spaced array with nonuniform amplitudes, said method based on specifying the set of the sidelobe positions (directions) of the array radiation pattern F(u) as in claim 1, where the first sidelobe position (direction) near the main beam will also control the beamwidth of the main beam.
Claim 8
Dependent Claim
46 words
An arrangement of a set of elements in a nonuniformly optimally spaced array with nonuniform amplitudes, as specified in claim 1, in which each element is an electromagnetic antenna, radiator or receiver, like dipole, slot, horn, aperture, dish, parabolic reflector, etc. or a combination of them.
Claim 9
Dependent Claim
44 words
An arrangement of a set of elements in a nonuniformly optimally spaced array with nonuniform amplitudes, as specified in claim 1, in which each element is an acoustic or sonar radiator or receiver, or a combination of them, used under water or above water.
Claim 10
Dependent Claim
47 words
An arrangement of a set of elements in a nonuniformly optimally spaced array with nonuniform amplitudes, as specified in claim 1, in which each element is a seismic radiator or receiver, like geophone, seismometer, seismograph, etc. or a combination of them, used under ground or above ground.
Claim 11
Dependent Claim
19 words
An array comprising a grouping of sub-arrays, each designed in accordance with the method set out in claim 1.