TWI514667B - Antenna device - Google Patents

Antenna device Download PDF

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TWI514667B
TWI514667B TW098123375A TW98123375A TWI514667B TW I514667 B TWI514667 B TW I514667B TW 098123375 A TW098123375 A TW 098123375A TW 98123375 A TW98123375 A TW 98123375A TW I514667 B TWI514667 B TW I514667B
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Taiwan
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antenna
short side
long
antenna device
feeding
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TW098123375A
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Chinese (zh)
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TW201103191A (en
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Cho Kang Hsu
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Chiun Mai Comm Systems Inc
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Description

天線裝置 Antenna device

本發明涉及一種天線裝置,尤其涉及一種頻寬較寬之天線裝置。 The present invention relates to an antenna device, and more particularly to an antenna device having a wide bandwidth.

隨著數位電視結合移動電話、個人數位助理(personal digital assistant,PDA)等可攜式無線通訊裝置向短、小、輕、薄之趨勢發展,使得接收數位電視訊號之天線亦需朝小型化發展。 With the development of digital TVs, such as mobile phones and personal digital assistants (PDAs), the development of short, small, light and thin, the antennas for receiving digital TV signals need to be miniaturized. .

從天線之角度來看,當天線小型化時,將導致該天線於低頻段正常工作之可能性偏小,即低頻段之頻寬較小。然而,因為該天線接收數位電視訊號之頻段一般為470MHz~800MHz,其頻率較低且頻寬較寬。故如何使天線尺寸縮小並使其能較好之接收到數位電視訊號,已成為各家天線廠商最大之挑戰。 From the perspective of the antenna, when the antenna is miniaturized, the possibility that the antenna works normally in the low frequency band is small, that is, the bandwidth of the low frequency band is small. However, since the frequency band in which the antenna receives digital television signals is generally 470 MHz to 800 MHz, the frequency is low and the bandwidth is wide. Therefore, how to reduce the size of the antenna and make it better to receive digital TV signals has become the biggest challenge for various antenna manufacturers.

有鑒於此,本發明提供一種體積小,且頻寬較寬之天線裝置。 In view of this, the present invention provides an antenna device that is small in size and wide in bandwidth.

一種天線裝置,包括一基板、一天線及一耦合體,該天線與耦合體分別佈設於該基板之二相對表面,該天線與基板相連,該天線包括一饋入體、二第一輻射體及二第二輻射體,該二第一輻射體對稱設置於該饋入體之兩側,二第二輻射體對稱設置於該饋入體延長線之兩側,該耦合體與該天線相互耦合。 An antenna device includes a substrate, an antenna, and a coupling body. The antenna and the coupling body are respectively disposed on opposite surfaces of the substrate, and the antenna is connected to the substrate. The antenna includes a feeding body, two first radiators, and The second radiating body is symmetrically disposed on two sides of the feeding body, and the second radiating body is symmetrically disposed on two sides of the extending line of the feeding body, and the coupling body and the antenna are coupled to each other.

相較於習知技術,該天線裝置藉由將該天線中之二第一輻射體及 二第二輻射體分別設置成關於該饋入體及其延長線對稱,並設置一耦合體與該天線相互耦合,使其頻寬範圍從DVB(Digital Video Broadcasting,數位視頻廣播)頻段拓寬至同時涵蓋DVB頻段及GSM(Global System for Mobile Communications,全球移動通訊系統)頻段,明顯之拓寬了該天線裝置之工作頻寬。另外,該天線裝置可彎折,故可使該天線裝置之體積更加小型化。 Compared with the prior art, the antenna device uses the first radiator in the antenna and The second radiators are respectively arranged symmetrically about the feeding body and the extension line thereof, and a coupling body is coupled with the antenna to widen the bandwidth range from the DVB (Digital Video Broadcasting) frequency band to the same time. Covering the DVB band and the GSM (Global System for Mobile Communications) band significantly broadens the working bandwidth of the antenna device. In addition, the antenna device can be bent, so that the size of the antenna device can be further reduced.

100‧‧‧天線裝置 100‧‧‧Antenna device

20‧‧‧天線 20‧‧‧Antenna

12‧‧‧饋入端 12‧‧‧Feeding end

22‧‧‧饋入體 22‧‧‧Feeding body

26‧‧‧第二輻射體 26‧‧‧Second radiator

34‧‧‧第二耦合部 34‧‧‧Second coupling

102‧‧‧接地面 102‧‧‧ ground plane

244‧‧‧第二輻射臂 244‧‧‧second radiation arm

2424‧‧‧第一長邊 2424‧‧‧First long side

2444‧‧‧第二長邊 2444‧‧‧Second long side

268‧‧‧短邊 268‧‧‧ Short side

10‧‧‧基板 10‧‧‧Substrate

30‧‧‧耦合體 30‧‧‧ Coupled body

14‧‧‧接地端 14‧‧‧ Grounding terminal

24‧‧‧第一輻射體 24‧‧‧First radiator

32‧‧‧第一耦合部 32‧‧‧First Coupling

101‧‧‧天線面 101‧‧‧Antenna surface

242‧‧‧第一輻射臂 242‧‧‧First Radiation Arm

2422‧‧‧第一短邊 2422‧‧‧First short side

2442‧‧‧第二短邊 2442‧‧‧second short side

262、264、266‧‧‧三長邊 262, 264, 266‧‧‧ three long sides

圖1為本發明較佳實施例之天線裝置之立體圖;圖2為圖1所示天線裝置之另一視角之立體圖;圖3為圖1所示天線裝置之最優化回波損耗圖;圖4為圖1所示天線裝置之平面圖。 1 is a perspective view of an antenna device according to a preferred embodiment of the present invention; FIG. 2 is a perspective view of another antenna device of FIG. 1; FIG. 3 is an optimized return loss diagram of the antenna device of FIG. It is a plan view of the antenna device shown in Fig. 1.

請參閱圖1,本發明較佳實施例之天線裝置100佈設於移動電話等可攜式無線通訊裝置(圖未示)內,用以發射、接收無線電波以傳遞、交換無線電資料訊號,本實施例以一移動電話為例加以說明。 Referring to FIG. 1 , an antenna device 100 according to a preferred embodiment of the present invention is disposed in a portable wireless communication device (not shown) such as a mobile phone, for transmitting and receiving radio waves to transmit and exchange radio data signals. For example, a mobile phone is taken as an example.

請參閱圖4,該天線裝置100包括一基板10、一天線20及一耦合體30。該天線20與耦合體30分別佈設於該基板10之二相對表面,且該天線20與基板10相連,該耦合體30與該天線20相互耦合。 Referring to FIG. 4 , the antenna device 100 includes a substrate 10 , an antenna 20 , and a coupling body 30 . The antenna 20 and the coupling body 30 are respectively disposed on opposite surfaces of the substrate 10, and the antenna 20 is connected to the substrate 10. The coupling body 30 and the antenna 20 are coupled to each other.

請一併參閱圖1、圖2,該基板10大致呈矩形面板狀結構,其可為一印刷電路板基板或者印刷電路板之一部分。該基板10採用可彎折材料製成,便於將該天線裝置100彎折以縮小該天線裝置100之尺寸。該基板10包括一天線面101及一接地面102。該基板10一邊 緣上設置有一饋入端12,該饋入端12用於將訊號饋入給該天線20及從該天線20接收訊號。 Referring to FIG. 1 and FIG. 2 together, the substrate 10 has a substantially rectangular panel-like structure, which may be a printed circuit board substrate or a part of a printed circuit board. The substrate 10 is made of a bendable material to facilitate bending the antenna device 100 to reduce the size of the antenna device 100. The substrate 10 includes an antenna surface 101 and a ground plane 102. One side of the substrate 10 A feed end 12 is provided on the edge, and the feed end 12 is used for feeding signals to and receiving signals from the antenna 20.

該天線20設置於該天線面101上,其包括一饋入體22、二第一輻射體24、二第二輻射體26。該饋入體22設置於該天線面101之中部,其大致呈一矩形條狀。該饋入體22一端與饋入端12相連,另一端與該二第一輻射體24相連。 The antenna 20 is disposed on the antenna surface 101 and includes a feed body 22, two first radiators 24, and two second radiators 26. The feed body 22 is disposed in the middle of the antenna surface 101 and has a substantially rectangular strip shape. The feed body 22 has one end connected to the feed end 12 and the other end connected to the two first radiators 24.

該二第一輻射體24對稱設置於饋入體22之兩側。每一第一輻射體24包括一第一輻射臂242及一第二輻射臂244。第一輻射臂242包括一第一短邊2422及一第一長邊2424。該第一短邊2422垂直延伸於饋入體22遠離饋入端12之一端。該第一長邊2424垂直延伸於第一短邊2422遠離饋入端12之一端,並平行於饋入體22。該第一長邊2424長度大於第一短邊2422之長度。 The two first radiators 24 are symmetrically disposed on both sides of the feeding body 22 . Each of the first radiators 24 includes a first radiating arm 242 and a second radiating arm 244. The first radiating arm 242 includes a first short side 2422 and a first long side 2424. The first short side 2422 extends perpendicularly to one end of the feed body 22 away from the feed end 12 . The first long side 2424 extends perpendicularly to the first short side 2422 away from one end of the feed end 12 and parallel to the feed body 22 . The length of the first long side 2424 is greater than the length of the first short side 2422.

第二輻射臂244包括一第二短邊2442及一第二長邊2444。該第二短邊2442由該第一長邊2424遠離第一短邊2422之一端沿遠離饋入體22之方向垂直延伸而成。第二長邊2444垂直延伸於該第二短邊2442遠離該饋入體22之一端。第二短邊2442與第一短邊2422相互平行,且第二短邊2442之長度小於第一短邊2422之長度。第二長邊2444與饋入體22相互平行,且第二長邊2444之長度大於第一長邊2424之長度。藉由調節該第一輻射體24中第一輻射臂242及一第二輻射臂244之長度,來調節該天線20之中心頻率。 The second radiating arm 244 includes a second short side 2442 and a second long side 2444. The second short side 2442 is formed by extending one end of the first long side 2424 away from the first short side 2422 in a direction away from the feeding body 22 . The second long side 2444 extends perpendicularly to the second short side 2442 away from one end of the feed body 22 . The second short side 2442 and the first short side 2422 are parallel to each other, and the length of the second short side 2442 is smaller than the length of the first short side 2422. The second long side 2444 and the feed body 22 are parallel to each other, and the length of the second long side 2444 is greater than the length of the first long side 2424. The center frequency of the antenna 20 is adjusted by adjusting the lengths of the first radiating arm 242 and the second radiating arm 244 of the first radiator 24.

該二第二輻射體26分別設置於二第一輻射體24之第二長邊2444遠離第二短邊2442之一端,且關於該饋入體22之延長線對稱。每一第二輻射體26包括三長邊262、264、266及一短邊268。該短邊268設置於第二長邊2444遠離第二短邊2442之一端,且與第二長 邊2444垂直。該三長邊262、264、266之形狀及大小均相同,均為矩形條狀體,該長邊262及長邊266分別垂直地設於短邊268之兩端。長邊264設於長邊262及長邊266之間,且三長邊262、264、266平行設置。該三長邊262、264、266之間之間隔距離可以根據需要進行調整。於本實施例中,該長邊262與長邊264之間之距離大於該長邊264與該長邊266之間之距離。該第二輻射體26之對稱型結構具有調整阻抗匹配與調整頻寬之功能,故於有限之面積裏,調節三長邊262、264、266之長度及該三長邊262、264、266之間之相互距離,可以加強彼此之間之耦合,從而調整阻抗匹配及調整頻寬。 The two second radiators 26 are respectively disposed at one end of the second long side 2444 of the two first radiators 24 away from the second short side 2442, and are symmetric about the extension line of the feeding body 22. Each of the second radiators 26 includes three long sides 262, 264, 266 and a short side 268. The short side 268 is disposed on the second long side 2444 away from one end of the second short side 2442, and is the second long Side 2444 is vertical. The three long sides 262, 264, and 266 are all the same in shape and size, and are all rectangular strip-shaped bodies. The long side 262 and the long side 266 are vertically disposed at opposite ends of the short side 268, respectively. The long side 264 is disposed between the long side 262 and the long side 266, and the three long sides 262, 264, and 266 are disposed in parallel. The separation distance between the three long sides 262, 264, and 266 can be adjusted as needed. In this embodiment, the distance between the long side 262 and the long side 264 is greater than the distance between the long side 264 and the long side 266. The symmetric structure of the second radiator 26 has the function of adjusting impedance matching and adjusting the bandwidth, so that the length of the three long sides 262, 264, 266 and the three long sides 262, 264, 266 are adjusted in a limited area. The mutual distance between them can enhance the coupling between each other, thereby adjusting the impedance matching and adjusting the bandwidth.

該第一輻射體24與該第二輻射體26位於同一平面,並藉由該短邊268與該第二輻射臂244中第二長邊2444之垂直相交而相互連接。該饋入體22及第一輻射體24均位於第二輻射體26之一側。 The first radiator 24 is in the same plane as the second radiator 26, and is connected to each other by perpendicularly intersecting the short side 268 with the second long side 2444 of the second radiating arm 244. The feed body 22 and the first radiator 24 are both located on one side of the second radiator 26 .

請參閱圖2,該接地面102鄰近饋入端12之一端開設有一接地端14,該接地端14大致呈矩形面板狀結構,並為該基板10提供接地作用。該耦合體30設置於該基板10上之接地面102上。該耦合體30為一大致呈倒“L”形狀之彎折結構,其包括一第一耦合部32及一第二耦合部34。該第一耦合部32由接地端14遠離饋入端12之一邊緣垂直延伸而成,該第二耦合部34垂直延伸於第一耦合部32遠離饋入端12之一端。當該天線20工作時,該耦合體30與該天線20耦合,以增強該天線20之輻射效果。 Referring to FIG. 2 , the grounding surface 102 defines a grounding end 14 adjacent to one end of the feeding end 12 . The grounding end 14 has a substantially rectangular panel-like structure and provides grounding for the substrate 10 . The coupling body 30 is disposed on the ground plane 102 on the substrate 10. The coupling body 30 is a bent structure having a substantially inverted "L" shape, and includes a first coupling portion 32 and a second coupling portion 34. The first coupling portion 32 extends perpendicularly from the edge of the grounding end 14 away from the feeding end 12 , and the second coupling portion 34 extends perpendicularly from the first coupling portion 32 away from one end of the feeding end 12 . When the antenna 20 is in operation, the coupling body 30 is coupled to the antenna 20 to enhance the radiation effect of the antenna 20.

請參閱圖3,所示為本較佳實施例天線裝置100於類比軟體檢測下獲得之較佳之回波損耗(return loss,RL)示意圖。由圖3可以看出,於測試過程中,該天線裝置100於回波損耗為-6dB時,其 有二工作頻率點32a及32b,其頻率值分別為400MHz及1100MHz,故當該回波損耗值小於-6dB時,該天線裝置100之工作頻寬可達700MHz(400MHz~1100MHz)。因此,該天線裝置100工作時之頻寬範圍可涵蓋到DVB頻段(470MHz~800MHz)及GSM 850/900MHz頻段。 Please refer to FIG. 3 , which is a schematic diagram of a preferred return loss (RL) obtained by the antenna device 100 of the preferred embodiment under the analog software detection. As can be seen from FIG. 3, during the test, the antenna device 100 has a return loss of -6 dB. There are two operating frequency points 32a and 32b, and the frequency values are 400MHz and 1100MHz, respectively. Therefore, when the return loss value is less than -6dB, the working bandwidth of the antenna device 100 can reach 700MHz (400MHz~1100MHz). Therefore, the bandwidth of the antenna device 100 can cover the DVB band (470MHz~800MHz) and the GSM 850/900MHz band.

請參閱圖4,因為該基板10由可彎折材料製成,故可根據需要彎折該天線裝置100,使該天線裝置100之尺寸縮小,以達到將天線裝置100小型化之效果。於本實施例中,可按照圖中所示虛線L1及虛線L2彎折該天線裝置100,也可按照圖中所示虛線L3彎折該天線裝置100。 Referring to FIG. 4, since the substrate 10 is made of a bendable material, the antenna device 100 can be bent as needed to reduce the size of the antenna device 100 to achieve the effect of miniaturizing the antenna device 100. In the present embodiment, the antenna device 100 can be bent according to the broken line L1 and the broken line L2 shown in the drawing, or the antenna device 100 can be bent according to the broken line L3 shown in the drawing.

顯然,該天線裝置100藉由將該天線20中之二第一輻射體24及二第二輻射體26分別設置成關於該饋入體22及其延長線對稱,並設置一耦合體30與該天線20相互耦合,使該天線裝置100之頻寬範圍從DVB頻段拓寬至同時涵蓋DVB頻段及GSM頻段,明顯拓寬了該天線裝置100之工作頻寬。另外,該天線裝置100可彎折,故可使該天線裝置100之體積更加小型化。 Obviously, the antenna device 100 is disposed symmetrically with respect to the feed body 22 and its extension line by arranging the two first radiators 24 and the second radiators 26 of the antenna 20 respectively, and providing a coupling body 30 and the The antennas 20 are coupled to each other such that the bandwidth of the antenna device 100 is widened from the DVB band to cover both the DVB band and the GSM band, which significantly broadens the working bandwidth of the antenna device 100. Further, since the antenna device 100 can be bent, the size of the antenna device 100 can be further reduced.

另外,本領域技術人員還可於本發明權利要求公開之範圍及精神內做其他形式及細節上之各種修改、添加及替換。當然,這些依據本發明精神所做之各種修改、添加及替換等變化,都應包含於本發明所要求保護之範圍之內。 In addition, various modifications, additions and substitutions in other forms and details may be made by those skilled in the art. It is a matter of course that various modifications, additions and substitutions made in accordance with the spirit of the invention are included in the scope of the invention as claimed.

100‧‧‧天線裝置 100‧‧‧Antenna device

20‧‧‧天線 20‧‧‧Antenna

24‧‧‧第一輻射體 24‧‧‧First radiator

101‧‧‧天線面 101‧‧‧Antenna surface

244‧‧‧第二輻射臂 244‧‧‧second radiation arm

2424‧‧‧第一長邊 2424‧‧‧First long side

2444‧‧‧第二長邊 2444‧‧‧Second long side

268‧‧‧短邊 268‧‧‧ Short side

12‧‧‧饋入端 12‧‧‧Feeding end

22‧‧‧饋入體 22‧‧‧Feeding body

26‧‧‧第二輻射體 26‧‧‧Second radiator

242‧‧‧第一輻射臂 242‧‧‧First Radiation Arm

2422‧‧‧第一短邊 2422‧‧‧First short side

2442‧‧‧第二短邊 2442‧‧‧second short side

262、264、266‧‧‧三長邊 262, 264, 266‧‧‧ three long sides

Claims (8)

一種天線裝置,包括一基板、一天線及一耦合體,所述天線與所述基板相連,其改良在於:所述天線與所述耦合體分別佈設於所述基板之二相對表面,所述天線包括一饋入體、二第一輻射體及二第二輻射體,所述二第一輻射體分別包括一第一輻射臂,所述第一輻射臂包括一第一短邊及一第一長邊,所述第一短邊垂直延伸於所述饋入體遠離所述饋入端之一端,所述第一長邊垂直延伸於所述第一短邊遠離所述饋入端之一端,所述第一長邊與所述饋入體相互平行,且其長度大於所述第一短邊之長度,所述二第一輻射體對稱設置於所述饋入體之兩側,二第二輻射體對稱設置於所述饋入體延長線之兩側,所述耦合體與所述天線耦合。 An antenna device includes a substrate, an antenna, and a coupling body, and the antenna is connected to the substrate, wherein the antenna and the coupling body are respectively disposed on opposite surfaces of the substrate, and the antenna is The first radiating body includes a first short radiating body and a first long radiating arm, and the first radiating arm includes a first short side and a first long length. The first short side extends perpendicularly to one end of the feeding body away from the feeding end, and the first long side extends perpendicularly to the first short side away from one end of the feeding end, The first long side and the feed body are parallel to each other, and the length thereof is greater than the length of the first short side, and the two first radiators are symmetrically disposed on two sides of the feed body, and the second radiation The body is symmetrically disposed on both sides of the feed line extension line, and the coupling body is coupled to the antenna. 如申請專利範圍第1項所述之天線裝置,其中所述基板由彎折材料製成,其包括一天線面及一接地面,所述天線設置於所述天線面上,所述耦合體位於所述接地面上。 The antenna device of claim 1, wherein the substrate is made of a bent material, and includes an antenna surface and a ground plane, the antenna is disposed on the antenna surface, and the coupling body is located The ground plane. 如申請專利範圍第1項所述之天線裝置,其中所述基板一邊緣設置有一饋入端,所述饋入端用於將訊號饋入給所述天線及從所述天線接收訊號,所述接地面上設置有一接地端,所述接地端為所述基板提供接地作用。 The antenna device of claim 1, wherein an edge of the substrate is provided with a feeding end, and the feeding end is configured to feed a signal to and receive a signal from the antenna. A grounding end is disposed on the grounding surface, and the grounding end provides a grounding function for the substrate. 如申請專利範圍第3項所述之天線裝置,其中所述饋入體呈矩形條狀,其一端與所述饋入端相連,另一端與所述二第一輻射體相連。 The antenna device according to claim 3, wherein the feeding body has a rectangular strip shape, one end of which is connected to the feeding end, and the other end of which is connected to the two first radiators. 如申請專利範圍第1項所述之天線裝置,其中所述二第一輻射體分別還包括一第二輻射臂,所述第二輻射臂包括一第二短邊及一第二長邊,所述第二短邊由所述第一長邊遠離所述第一短邊之一端沿遠離所述饋入體之方向垂直延伸而成,所述第二長邊垂直延伸於所述第二短邊遠離所述饋入體之一端,所述第二短邊與第一短邊相互平行,且第二短邊之長度小 於第一短邊之長度,第二長邊與所述饋入體相互平行,且所述第二長邊之長度大於第一長邊之長度。 The antenna device of claim 1, wherein the two first radiators further comprise a second radiating arm, and the second radiating arm comprises a second short side and a second long side. The second short side is formed by extending the first long side away from the one end of the first short side in a direction away from the feeding body, and the second long side extends perpendicularly to the second short side Far from one end of the feed body, the second short side and the first short side are parallel to each other, and the length of the second short side is small The length of the first short side, the second long side and the feed body are parallel to each other, and the length of the second long side is greater than the length of the first long side. 如申請專利範圍第5項所述之天線裝置,其中所述二第二輻射體分別包括三長邊及一短邊,所述天線之阻抗匹配及頻寬藉由調節所述三長邊之長度及所述三長邊之間之相互距離進行調整。 The antenna device of claim 5, wherein the two second radiators respectively comprise three long sides and one short side, and the impedance matching and the bandwidth of the antenna are adjusted by adjusting the length of the three long sides. And the mutual distance between the three long sides is adjusted. 如申請專利範圍第6項所述之天線裝置,其中所述短邊設置於所述第二長邊遠離所述第二短邊之一端,且與所述第二長邊垂直,所述三長邊之形狀及大小均相同,且所述三長邊相互平行且垂直於所述短邊。 The antenna device of claim 6, wherein the short side is disposed on the second long side away from one end of the second short side, and perpendicular to the second long side, the three long The sides are the same in shape and size, and the three long sides are parallel to each other and perpendicular to the short sides. 如申請專利範圍第3項所述之天線裝置,其中所述耦合體包括一第一耦合部及一第二耦合部,所述第一耦合部由所述接地端遠離所述饋入端之一邊緣垂直延伸而成,所述第二耦合部垂直延伸於所述第一耦合部遠離所述饋入端之一端。 The antenna device of claim 3, wherein the coupling body includes a first coupling portion and a second coupling portion, the first coupling portion being separated from the feeding end by the grounding end The edge extends vertically, and the second coupling portion extends perpendicularly to the one end of the first coupling portion away from the feeding end.
TW098123375A 2009-07-10 2009-07-10 Antenna device TWI514667B (en)

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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5959586A (en) * 1995-02-06 1999-09-28 Megawave Corporation Sheet antenna with tapered resistivity
US6094170A (en) * 1999-06-03 2000-07-25 Advanced Application Technology, Inc. Meander line phased array antenna element
CN1983714A (en) * 2005-12-14 2007-06-20 三洋电机株式会社 Multi-band terminal antenna and antenna system therewith

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5959586A (en) * 1995-02-06 1999-09-28 Megawave Corporation Sheet antenna with tapered resistivity
US6094170A (en) * 1999-06-03 2000-07-25 Advanced Application Technology, Inc. Meander line phased array antenna element
CN1983714A (en) * 2005-12-14 2007-06-20 三洋电机株式会社 Multi-band terminal antenna and antenna system therewith

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