Background of the Invention
Field of the Invention:
[0001] This invention relates to antennas and more particularly to a beam forming network
for an antenna.
Description of the Prior Art:
[0002] In an airborne collision avoidance system a sum and difference pattern is required
for measuring the position of an aircraft within a 22.5° sector. Aircraft within a
sector to be interrogated receives a Pl and P3 pulse of a greater amplitude than a
P2 pulse which occurs in between the Pl and P3 pulses. The amplitude of the P2 pulse
is attenuated in the desired sector by utilizing a difference pattern having its null
pointed in the desired sector with the amplitude of the P2 pulse in all other directions
exceeding the amplitude of the P1 and P3 pulses outside the desired interrogated sector.
[0003] In U.S. Patent 4,425,567, which issued on January 10, 1984, to C. P. Tresselt, a
beam forming network is described in Figs. 4, 9 and 10 for forming sum and difference
patterns with omnidirectional sidelobes.
[0004] In U.S. Patent 4,316,192, which issued on February 16, 1982, to J. H. Acoraci, a
beam forming network is described in Fig. 7 for generating a sum and difference pattern.
The beam forming network is shown coupled to a circular array antenna through a Butler
matrix. Fig. 2 '192 shows that a difference pattern formed by the beam forming network
of Fig. 7 is formed by subtracting a sum pattern from an omnidirectional pattern to
form a cardioid which in turn was added to a difference pattern to form a difference
pattern with omnidirectional sidelobes.
[0005] A publication by Sheleg entitled "A Matrix Fed Circular Array for Continuous Scanning",
Proc. IEEE, November 1968, pp. 2016-2027 describes and shows in Fig. 2 a Butler matrix
fed electronically scanned circular array.
[0006] It is therefore desirable to provide a simpler beam forming network for providing
a difference pattern in one direction and an omnidirectional pattern in other directions.
[0007] It is further desirable to form a difference pattern in one direction and an omnidirectional
pattern in other directions by summing a difference pattern and a 180° steered sum
pattern.
Summary of the Invention
[0008] An apparatus and method is described for generating a difference beam in a first
direction with an omnidirectional sidelobe in other directions comprising the steps
of generating a difference beam having a maximum attenuation in a first and second
direction substantially at 180° apart in a predetermined plane of radiation and generating
a sum beam in said second direction having a predetermined amplitude whereby the maximum
attenuation in the second direction is reduced.
Brief Description of the Drawing
[0009]
Fig. 1 is a schematic diagram of one embodiment of the invention.
Fig. 2 is a block diagram of an antenna and feed network utilizing the embodiment
of Fig. 1.
Fig. 3 is a graph of the sum pattern, minus the difference pattern, generated by the
embodiment of Fig. 2.
Fig. 4 is a graph of the sum pattern, minus the sum pattern, which is steered 180°
generated by the embodiment of Fig. 2.
Fig. 5 is a graph of the difference pattern generated by the embodiment of Fig. 2.
Fig. 6 is a graph of the combined difference and sum patterns generated by the embodiment
of Fig. 2.
Fig. 7 is a plan view of one embodiment of hybrid 18 shown in Fig. 1.
Description of the Preferred Embodiment
[0010] Referring to Fig. 1, beam forming network 10 is shown for generating signals which
may subsequently be coupled to antenna elements resulting in generating a difference
beam in a first direction with an omnidirectional sidelobe in other directions. Beam
forming network 10 may also generate a sum beam. Beam forming network 10 may receive
microwave energy over line 14 for generating a sum beam pattern and may receive microwave
energy over line 16 for generating a difference beam pattern with omnidirectional
sidelobes. Line 14 is coupled to a first input of hybrid 18. When microwave energy
is present on line 14, hybrid 18 functions to provide an in phase output on lines
19 and 20 with an amplitude attenuation of -3 dB on each line. Line 19 is coupled
though directional coupler 22 to output terminal 23. Line 20 is coupled to the first
input of hybrid 24. Hybrid 24 functions to receive microwave energy on line 20 and
to provide an output on lines 25 and 26 which are in phase and attenuated by -3 dB.
Lines 25 and 26 are coupled to output terminals 37 and 38, respectively. Line 20 is
also coupled through directional coupler 28 which functions to couple a portion of
the signal on line 20 with a predetermined amplitude such as -10.5 dB onto line 29.
Directional coupler 28 may have line 29 terminated by resistor 30. Line 29 is coupled
to a first input of hybrid 32. Hybrid 32 functions to receive microwave energy on
line 29 and to provide an output on lines 33 and 34, which are in phase and attenuated
by -3 dB. Lines 33 and 34 are coupled to output terminals 35 and 36.
[0011] Directional coupler 22 functions to couple a predetermined portion of microwave energy
on line 19, such as for example, -6.9 dB, to line 40. Directional coupler 22 may have
one end of line 40 terminated by resistor 41. Line 40 is coupled to a first input
of hybrid 42. Hybrid 42 functions to receive microwave energy on line 40 and to provide
an output on lines 43 and 44, which are in phase and attenuated by -3 dB. Lines 43
and 44 are coupled to output terminals 45 and 46, respectively.
[0012] Line 16 is coupled to directional coupler 48, which functions to couple a portion
nf the microwave energy on line 16, such as an amplitude of -15.7 dB to line 49. Directional
coupler 48 has one end of line 49 terminated by resistor 50. Line 49 is coupled to
a second input of hybrid 18. Hybrid 18 functions to divide the microwave energy on
line 49 to line 19, which is in phase and attenuated by -3 dB and to line 20, which
is 180° out of phase and attenuated by -3 dB. Line 16 further passes through directional
couplers 52 and 54 to a second input of hybrid 24. Directional coupler 52 functions
to couple a portion of the microwave energy on line 16, such as -11.3 dB, onto line
53. Line 53 is coupled to a second input of hybrid 32. Hybrid 32 functions to divide
the microwave energy on line 53 to line 33, which is in phase and attenuated by -3
dB and to line 34, which is 180° out of phase and attenuated by -3dB. Directional
coupler 52 has resistor 55 coupled to one end of line 53 for terminating it. Directional
coupler 54 has resistor 56 coupled to one end of line 57 for terminating it. Directional
coupler 54 functions to couple a portion of the microwave energy on line 16 such as
-7.4 dB to a second input of hybrid 42. Hybrid 42 functions to provide an output on
line 43, which is in phase and attenuated by -3 dB and an output on line 44, which
is 180° out of phase and attenuated by -3 dB.
[0013] Hybrid couplers 18, 24, 42, and 32 may be, for example, implemented with folded magic
tees. Fig. 7 shows one embodiment of hybrid 18 with folded magic tees, wherein the
first input, such as line 14 of hybrid 18, corresponds to the E input. The second
input, such as line 49, corresponds to the Δ input of a folded magic tee. The first
output on line 19 corresponds to the Σ' output of a folded magic tee and the second
output on line 20 corresponds to the Δ' output of a folded magic tee. An input signal
to the E port of a folded magic tee provides a -90° phase delay with a -3 dB output
at the Σ' port and at the Δ' port; and an input signal to the A port provides a -90°
phase delay with a -3 dB output at the Σ' port and a -270° phase delay with a -3 dB
output at the Δ' port. The -270° phase delay is provided by a folded line length in
the folded magic tee. The folded magic tees are smaller in size than the circular
1.5 wavelength diameter rat race of the prior art from which the folded magic tees
were derived. The folded magic tee may be constructed by providing a conductor or
line length 135 of 90° of the design wavelength on printed circuit board 136 from
the Σ port to the Σ' port, a 90° line length 137 from the Σ' port to the A port, a
270° line length 138 from the Δ port to the Δ' port, and a 90° line length 139 from
the A port to the Σ port.
[0014] Referring to Fig. 2, a block diagram is shown of beam forming network 10 coupled
to a circular antenna array 60 through phase shifters 63-69 and Butler matrix 62.
Output terminals 23, 37, 45, 35, 36, 46, and 38 of beam forming network 10 are coupled
over lines 70 through 76, respectively, to an input of phase shifters 63 through 69.
An output of phase shifters 63 through 69 is coupled over lines 77 through 83, respectively,
to respective inputs of Butler matrix 62. An eighth input to Butler matrix 62 is terminated
by resistor 85 coupled to line 84. Butler matrix 62 has eight outputs on lines 91
through 98, which are coupled to antenna elements 101 through 108, respectively, of
circular antenna array 60. Antenna elements 101 through 108 may be evenly positioned
about a circle having a center 130 and a diameter of 26.67 cm (10.5") shown by arrow
99 in Fig. 2. Butler matrix 62 functions to convert or transform the input signals
on lines 77 through 84 which are suitable for a linear antenna to a circular antenna
array 60 to provide the same resultant antenna pattern.
[0015] The sum and difference patterns from beam forming network 10 may be steered by steering
electronics 110, which has digital steering command input on line 111 and an output
on line 112, which functions to control phase shifters 63 through 69. The terms sum
pattern, difference pattern, sum beam and difference beam as used herein relate to
antenna patterns suitable for use in monopulse radar direction finding.
[0016] The antenna patterns are radiated outward from circular antenna. array 60. Reference
line 131 is in the plane of circular antenna array 60 and passes through center 130.
Reference line 132 is also in the plane of circular antenna array 60 and at an angle
Ø shown by arrow 133 in Fig. 2 with respect to reference line 131. The position of
reference line 131 may be considered at 0°. Thus, the angle φ may represent an angle
of radiation from circular antenna array 60.
[0017] In operation of beam forming network 10, shown in Figs. 1 and 2, when microwave energy
is coupled to the sum terminal on line 14, the microwave energy is distributed to
the output terminals 23, 37, 45, 35, 36, 46, and 38 having an amplitude and phase
as shown in Table 1.

[0018] The resulting antenna pattern radiated from circular antenna array 60, using the
values shown in Table I, after appropriate phase shifters by phase shifters 63-69
is shown in Fig. 3. Phase shifts provided by phase shifters 63-69 function to provide
focusing to the antenna pattern radiated from circular antenna array 60 and steering
of the antenna pattern. The phases provided in Table II are suitable for coupling
to a linear array of evenly spaced elements positioned transverse to the direction
of radiation. In Fig. 3 the ordinate represents power in decibels and the abscissa
represents polar angle in degrees.. Curve 114 shows the sum beam and curves.115 through
118 show the sidelobe patterns.
[0019] When microwave energy is coupled to line 49, the microwave energy is distributed
to microwave output terminals 23, 37, 45, 35, 36, 46 and 38 having an amplitude and
phase as shown in Table II. The antenna pattern from circular antenna array 60, using
the values shown in Table II, after appropriate phase shifts by phase shifters 63-69
is shown in Fig. 4.

[0020] In Fig. 4 the ordinate represents power in decibels and the abscissa represents polar
angle in degrees. The sum beam steered 180° is the result of coupling microwave energy
from line 16 over line 49 to the second input of hybrid 18 as shown in Fig. 1. As
shown in Fig. 4, curve 114 has been shifted 180° causing one half of curve 114 to
appear on the left side of Fig. 4 and the other half of curve 114 to appear on the
right side of Fig. 4 and curves 115 and 118 are joined together at 0°. Because of
a reduction of power at the input of hybrid 18 due to coupler 48, curves 114, 115,
and 118 are attenuated. Curves 116 and 117, shown in Fig. 3, are attenuated below
-48 dB and therefore, are not shown in Fig. 4.
[0021] Fig. 5 is a graph of the difference pattern from circular antenna array 60 generated
by beam forming network 10 shown in Figs. 1 and 2. Microwave energy coupled over line
16 and through couplers 52 and 54 to lines 53 and 57 and with no power coupled through
coupler 48, is distributed to output terminals 23, 37, 45, 35, 36, 46 and 38 having
an amplitude and phase as shown in Table III and provides a pattern after appropriate
phase shifts by phase shifters 63-69 as shown in Fig. 5.

[0022] In Fig. 5 the ordinate represents power in decibels and the abscissa represents polar
angle in degrees. Curve 120 shows the difference pattern with curve portion 121 showing
the desired deep attenuation notch of the difference pattern, while curve portions
122 and 123 show undesired deep attenuation 180° removed from curved portion 121.
[0023] Fig. 6 is a graph of the pattern from circular antenna array 60 generated by beam
forming network 10 shown in Figs. 1 and 2 when microwave energy is coupled over lines
16, 49, 53 and 57. In Fig. 6 the ordinate represents power in decibels and the abscissa
represents polar angle in degrees. Curve 125 shows an omnidirectional pattern with
a difference pattern shown by curve portion 126. Fig. 6 is a composite or the addition
of the curves shown in Figs. 4 and 5 resulting from microwave energy on lines 16,
49, 53 and 57 of beam forming network 10. As can be seen in Fig. 6, an omnidirectional
pattern is generated in the region from -120° to -180° and from +120° to +180° having
an amplitude and a range of -11 dB to -14 dB.

[0024] The pattern may be steered to a predetermined angle fl by adjusting phase shifters
63-69. For example, to steer the pattern in Figs. 3-6 by 5° the following phase adjustments
are made to phase shifters 63-69. Phase shifters 63-69 have the following phase shifts
added to the phase shifts shown in Table IV for φ equal to 0°: 0, 5, 10, 15, -15,
-10, and -5 degrees, respectively. Table IV shows the phase shifts for Ø equal to
5°.
[0025] The amplitude and phase of the signals on lines 77-83 going into the Butler matrix
62 to provide the filled in difference pattern shown in Fig. 6 is shown in Table V.

[0026] The invention describes an apparatus and method for generating a difference beam
in a first direction with an omnidirectional sidelobe in other directions comprising
the steps of generating a difference beam having maximum attenuation in the first
and second directions substantially 180° apart in a predetermined plane of radiation
and generating a sum beam in the second direction having a predetermined amplitude,
whereby the maximum attenuation in the second direction is reduced to provide an omnidirectional
pattern in directions away from the desired difference beam from 120° to 240°.
[0027] The invention claimed is:
l. Apparatus for generating a difference beam in a first direction with an omnidirectional
sidelobe in other directions comprising:
means for generating a difference beam (52, 54, 24, 42, 32) having a maximum attenuation
in a first and second direction substantially 180° apart in a predetermined plane
of radiation, and characterized by
means for generating a sum beam (48, 18, 22, 28, 24, 42, 32) in said second direction
having a predetermined amplitude whereby said maximum attenuation in said second direction
is reduced.
2. The apparatus of claim 1 further characterized by said means for generating a difference
beam (52, 54, 24, 42, 32) including a circular antenna array (60), a Butler matrix
(62) coupled to said antenna array (60) for transforming input signals (23, 37, 45,
35, 36, 46, 38) for a linear antenna array to input signals for a circular antenna
array, a plurality of phase shifters (63-69) coupled to said input signals (23, 37,
45, 35, 36, 46, 38) for phase shifting said input signals (23, 37, 45, 35, 36, 46,
38) prior to said Butler matrix (62), a beam forming network (10) coupled through
said plurality of phase shifters (63-69) to said Butler matrix (62) for generating
said input signals (23, 37, 45, 35, 36, 46, 38).
3. The apparatus of claim 2 further characterized by said beam forming network (10)
including an input terminal (16), a plurality of couplers (52, 54) for coupling predetermined
power levels of microwave energy with respect to said input terminal (16) at times
said microwave energy is coupled to said input terminal (16), a plurality of hybrid
circuits (32, 42, 24) coupled to the output of each said coupler (52, 54) for generating
in phase and 180° out of phase first signals at predetermined power levels with respect
to its input.
4. The apparatus of claim 3 further characterized by said means for generating a sum
beam including a first coupler (48) coupled to said input terminal (16) for coupling
a predetermined power level with respect to said input terminal (16) and having an
ouptut (49) coupled to an input of a first hybrid circuit (18) for generating in phase
and out of phase signals at predetermined power levels with respect to its input (49),
each said in phase and out of phase signals coupled to at least one coupler (22, 28)
to generate a plurality of in phase and out of phase second signals at predetermined
power levels with respect to said input terminal (16) and means for coupling at least
one of said second signals to one of said plurality of hybrid circuits (32, 42, 24).
5. A method for generating a difference beam in a first direction with an omnidirectional
sidelobe in other directions comprising the step of:
generating a difference beam having maximum attenuation in a first and second direction
substantially 180° apart in a predetermined plane of radiation, and characterized
by the step of generating a sum beam in said second direction having a predetermined
amplitude whereby said maximum attenuation in said second direction is reduced.
6. A beam forming network for generating a difference pattern with omnidirectional
sidelobes characterized by:
an input terminal (16) coupled in series through first through third couplers (48,
52, 54) for coupling a predetermined amount of power with respect to the power at
said input terminal (16) onto first through third lines (49, 53, 57),
said first through third lines (49, 53, 57) coupled to a first port of first through
third hybrid circuits (18, 32, 42) respectively,
said input terminal (16) after coupling to said first through third couplers (48,
52, 54) coupled to a first port of a fourth hybrid circuit (24),
said first through fourth hybrid circuits (18, 32, 42, 24) each having first through
fourth ports wherein an input signal at said first port (49, 53, 57, 16) provides
an 180° out of phase signal at said second port (20, 34, 44, 26), no signal at said
third port (14, 29, 40, 20) and an inphase signal at said fourth port (19, 33, 43,
25) and wherein an in phase signal at said third port (14, 29, 40, 20) provides no
signal at said first port (49, 53, 57, 16) and an in phase signal at said second (20,
34, 44, 26) and fourth ports,
said fourth port (19) of said first hybrid circuit (18) coupled through a fourth coupler
(22) to a first output terminal (23),
an output from said fourth coupler (22) coupled to said third port (40) of said third
hybrid circuit (42),
said second port (20) of said first hybrid circuit (18) coupled through a fifth coupler
(28) to said third port (20) of said fourth hybrid circuit (24),
an output from said fifth coupler (28) coupled to said third port (29) of said second
hybrid circuit (32),
said fourth port (25, 43, 33) of said fourth, third and second hybrid circuit (24,
42, 32) coupled to a second (37), third (45) and fourth (35) output terminal respectively,
and
said second port (34, 44, 26) of said second (32), third (42) and fourth (24) hybrid
circuit coupled to a fifth (36), sixth (46) and seventh (38) output terminal, respectively.