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首页 > CST > CST2013 Help > CST2013: Farfield&Antenna / Diversity Gain and Correlation (from Fa

CST2013: Farfield&Antenna / Diversity Gain and Correlation (from Fa

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Post Processing: Result Templates闂傚倸鍊搁崐鎼佸磹閹间礁纾归柟闂寸绾剧懓顪冪€n亝鎹i柣顓炴閵嗘帒顫濋敐鍛婵°倗濮烽崑娑⑺囬悽绋垮瀭濡わ絽鍟粻娑樏归敐鍛础缂佸鑳剁槐鎾诲磼濮橆兘鍋撻悜鑺ュ€块柨鏇氱劍閹冲矂姊绘担鍛婂暈闁荤喆鍎抽幑銏狀潨閳ь剙顕f繝姘亜缁炬媽椴搁弲顒勬⒑閹稿海绠撴繛璇х到鏁堟俊銈呮噺閸嬧剝绻濇繝鍌涘櫣妞わ絽銈搁幃浠嬵敍濞戞ɑ璇為梺璇″枟閻燂妇鎹㈠┑瀣倞闁靛ě鍐ㄥ婵犵數濮烽弫鎼佸磹椤栫偛鐒垫い鎺戝绾惧鏌熼崜褏甯涢柣鎾寸洴閹鏁愭惔鈥茬敖婵犫拃鍐粵闁逛究鍔嶇换婵嬪川椤曞懍鍝楅梻浣告贡閹虫挾鈧氨澧楁穱濠囧箹娴h倽銊╂煥閺冣偓閸庡磭绱為幒妤佲拻闁稿本鐟ㄩ崗宀勬煙閾忣偅宕岀€规洜鏁诲浠嬵敇閻愭鍞甸梻浣芥硶閸o箓骞忛敓锟�...Template Based Post Processing

This template alternatively calculates the Mean Effective Gain (MEG) of an antenna or the correlation, diversity gain and multiplexing efficiency of two antennas in a MIMO antenna system (using antenna diversity).

 

Note: a broadband version of most functionality is included in Farfield&Antenna / Farfield Result

 

Mean Effective Gain:

This model assumes that an isotropic power distribution over all angles is an unlikely model for ground based mobile communication. Instead a Gaussian distribution over the elevation angle is assumed. The Gaussian distribution can be described independently for the vertical and the horizontal component:

闂傚倸鍊搁崐鎼佸磹閹间礁纾归柟闂寸绾剧懓顪冪€n亝鎹i柣顓炴閵嗘帒顫濋敐鍛婵°倗濮烽崑娑⑺囬悽绋垮瀭濡わ絽鍟粻娑樏归敐鍛础缂佸鑳剁槐鎾诲磼濮橆兘鍋撻悜鑺ュ€块柨鏇氱劍閹冲矂姊绘担鍛婂暈闁荤喆鍎抽幑銏狀潨閳ь剙顕f繝姘亜缁炬媽椴搁弲顒勬⒑閹稿海绠撴繛璇х到鏁堟俊銈呮噺閸嬧剝绻濇繝鍌涘櫣妞わ絽銈搁幃浠嬵敍濞戞ɑ璇為梺璇″枟閻燂妇鎹㈠┑瀣倞闁靛ě鍐ㄥ婵犵數濮烽弫鎼佸磹椤栫偛鐒垫い鎺戝绾惧鏌熼崜褏甯涢柣鎾寸洴閹鏁愭惔鈥茬敖婵犫拃鍐粵闁逛究鍔嶇换婵嬪川椤曞懍鍝楅梻浣告贡閹虫挾鈧氨澧楁穱濠囧箹娴h倽銊╂煥閺冣偓閸庡磭绱為幒妤佲拻闁稿本鐟ㄩ崗宀勬煙閾忣偅宕岀€规洜鏁诲浠嬵敇閻愭鍞甸梻浣芥硶閸o箓骞忛敓锟�...

 

The cross polarization ratio (XPR) between vertical and the horizontal component is defined as follows:

闂傚倸鍊搁崐鎼佸磹閹间礁纾归柟闂寸绾剧懓顪冪€n亝鎹i柣顓炴閵嗘帒顫濋敐鍛婵°倗濮烽崑娑⑺囬悽绋垮瀭濡わ絽鍟粻娑樏归敐鍛础缂佸鑳剁槐鎾诲磼濮橆兘鍋撻悜鑺ュ€块柨鏇氱劍閹冲矂姊绘担鍛婂暈闁荤喆鍎抽幑銏狀潨閳ь剙顕f繝姘亜缁炬媽椴搁弲顒勬⒑閹稿海绠撴繛璇х到鏁堟俊銈呮噺閸嬧剝绻濇繝鍌涘櫣妞わ絽銈搁幃浠嬵敍濞戞ɑ璇為梺璇″枟閻燂妇鎹㈠┑瀣倞闁靛ě鍐ㄥ婵犵數濮烽弫鎼佸磹椤栫偛鐒垫い鎺戝绾惧鏌熼崜褏甯涢柣鎾寸洴閹鏁愭惔鈥茬敖婵犫拃鍐粵闁逛究鍔嶇换婵嬪川椤曞懍鍝楅梻浣告贡閹虫挾鈧氨澧楁穱濠囧箹娴h倽銊╂煥閺冣偓閸庡磭绱為幒妤佲拻闁稿本鐟ㄩ崗宀勬煙閾忣偅宕岀€规洜鏁诲浠嬵敇閻愭鍞甸梻浣芥硶閸o箓骞忛敓锟�...

Reference: T. Taga, “Analysis for mean effective gain of mobile antennas inland mobile radio environments”, IEEE Trans. Veh. Technol., vol.39, no.2, pp.117–131, May 1990.

 

MIMO Antennas and Antenna Diversity:

Antenna Diversity describes the case that more than one antenna is implemented in a device. To specify the benefit of multiple antennas, the correlation of two antennas or the diversity gain are evaluated. In this template both values are calculated from the Farfield Pattern according to the formulas:

Envelope Correlation:

闂傚倸鍊搁崐鎼佸磹閹间礁纾归柟闂寸绾剧懓顪冪€n亝鎹i柣顓炴閵嗘帒顫濋敐鍛婵°倗濮烽崑娑⑺囬悽绋垮瀭濡わ絽鍟粻娑樏归敐鍛础缂佸鑳剁槐鎾诲磼濮橆兘鍋撻悜鑺ュ€块柨鏇氱劍閹冲矂姊绘担鍛婂暈闁荤喆鍎抽幑銏狀潨閳ь剙顕f繝姘亜缁炬媽椴搁弲顒勬⒑閹稿海绠撴繛璇х到鏁堟俊銈呮噺閸嬧剝绻濇繝鍌涘櫣妞わ絽銈搁幃浠嬵敍濞戞ɑ璇為梺璇″枟閻燂妇鎹㈠┑瀣倞闁靛ě鍐ㄥ婵犵數濮烽弫鎼佸磹椤栫偛鐒垫い鎺戝绾惧鏌熼崜褏甯涢柣鎾寸洴閹鏁愭惔鈥茬敖婵犫拃鍐粵闁逛究鍔嶇换婵嬪川椤曞懍鍝楅梻浣告贡閹虫挾鈧氨澧楁穱濠囧箹娴h倽銊╂煥閺冣偓閸庡磭绱為幒妤佲拻闁稿本鐟ㄩ崗宀勬煙閾忣偅宕岀€规洜鏁诲浠嬵敇閻愭鍞甸梻浣芥硶閸o箓骞忛敓锟�...

P_θ (Ω) and P_Φ (Ω) describe the Gaussian distributions as shown above.

 

In case of isotropic power distribution (P_θ (Ω)=P_Φ (Ω)=1), no cross polarization ratio (XPR = 0dB) and a lossless structure, the correlation ρ_env equals the correlation calculated from S-Parameters (Farfield&Antenna / Diversity Gain and Correlation (from S-Parameters))

 

Diversity Gain:

闂傚倸鍊搁崐鎼佸磹閹间礁纾归柟闂寸绾剧懓顪冪€n亝鎹i柣顓炴閵嗘帒顫濋敐鍛婵°倗濮烽崑娑⑺囬悽绋垮瀭濡わ絽鍟粻娑樏归敐鍛础缂佸鑳剁槐鎾诲磼濮橆兘鍋撻悜鑺ュ€块柨鏇氱劍閹冲矂姊绘担鍛婂暈闁荤喆鍎抽幑銏狀潨閳ь剙顕f繝姘亜缁炬媽椴搁弲顒勬⒑閹稿海绠撴繛璇х到鏁堟俊銈呮噺閸嬧剝绻濇繝鍌涘櫣妞わ絽銈搁幃浠嬵敍濞戞ɑ璇為梺璇″枟閻燂妇鎹㈠┑瀣倞闁靛ě鍐ㄥ婵犵數濮烽弫鎼佸磹椤栫偛鐒垫い鎺戝绾惧鏌熼崜褏甯涢柣鎾寸洴閹鏁愭惔鈥茬敖婵犫拃鍐粵闁逛究鍔嶇换婵嬪川椤曞懍鍝楅梻浣告贡閹虫挾鈧氨澧楁穱濠囧箹娴h倽銊╂煥閺冣偓閸庡磭绱為幒妤佲拻闁稿本鐟ㄩ崗宀勬煙閾忣偅宕岀€规洜鏁诲浠嬵敇閻愭鍞甸梻浣芥硶閸o箓骞忛敓锟�...

Multiplexing Efficiency:

The multiplexing efficiency ME is defined from the envelope correlation and the gain of the two antennas G_1and G_2 (in dB) according to the formula

闂傚倸鍊搁崐鎼佸磹閹间礁纾归柟闂寸绾剧懓顪冪€n亝鎹i柣顓炴閵嗘帒顫濋敐鍛婵°倗濮烽崑娑⑺囬悽绋垮瀭濡わ絽鍟粻娑樏归敐鍛础缂佸鑳剁槐鎾诲磼濮橆兘鍋撻悜鑺ュ€块柨鏇氱劍閹冲矂姊绘担鍛婂暈闁荤喆鍎抽幑銏狀潨閳ь剙顕f繝姘亜缁炬媽椴搁弲顒勬⒑閹稿海绠撴繛璇х到鏁堟俊銈呮噺閸嬧剝绻濇繝鍌涘櫣妞わ絽銈搁幃浠嬵敍濞戞ɑ璇為梺璇″枟閻燂妇鎹㈠┑瀣倞闁靛ě鍐ㄥ婵犵數濮烽弫鎼佸磹椤栫偛鐒垫い鎺戝绾惧鏌熼崜褏甯涢柣鎾寸洴閹鏁愭惔鈥茬敖婵犫拃鍐粵闁逛究鍔嶇换婵嬪川椤曞懍鍝楅梻浣告贡閹虫挾鈧氨澧楁穱濠囧箹娴h倽銊╂煥閺冣偓閸庡磭绱為幒妤佲拻闁稿本鐟ㄩ崗宀勬煙閾忣偅宕岀€规洜鏁诲浠嬵敇閻愭鍞甸梻浣芥硶閸o箓骞忛敓锟�...

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