Microwave Imaging from Limited-Angle Scattered Data using the Iterative Multi-Scaling Approach
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(48) z. y. E. v (x, y) inc. v=1, ... ,V. Emitter. φ. DM Receiver. Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å θ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Åψ ÆQ Å ÆÅ ÆÅQÆQ ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅQ Æ ÅÆ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å D ÆÅQÆQ ÆÅ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ I ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆQ Å ÆÅ ÆÅQÆQ. x. v. E (x m(v) , ym(v) ) scatt. Rotation. fÛ. ÇCÈÊÉ}ËvÌÎÍÏ<ËtÐð"ѯÒ4È¢ÓÕÔÖN×ØÊÙ CdILR>^HMÍô,DpuQY)klK+DGsQILPfsAjm^JMQK. ~p. Ü. õ IVK+Ivh`Yb}lc P&sQZLY)vV. m (v)=1, ... ,M v=1, ... ,V. (v).
(49) y. y. x. n '. n. ²! I`J S4 6c>?dAZ . x. n. n. ²! I`J 74 6c>?dAeZ } '. y. y. x. n '. n. ²! `I J S4 6c>?gAZ [. x. n. fÛ. '. ÇCÈÊÉ}ËÚRÍÏ<ËtÐð"ѯÒ4È¢ÓÕÔÖN×ØÊÙ CdILR>^HMÍô,DpuQY)klK+DGsQILPfsAjm^JMQK. ~. n. ²! `I J 74 6c>?dAeZ 9. Ü. õ IVK+Ivh`Yb}lc P&sQZLY)vV.
(50) 0.08. Noiseless SNR = 20 [dB] SNR = 10 [dB] SNR = 5 [dB]. ρ. 0.06. 0.04. 0.02. 0 0. 40. 80. 120 θ [degree]. 160. 200. 240. 200. 240. © . 20. 18. Noiseless SNR = 20 [dB] SNR = 10 [dB] SNR = 5 [dB]. δ. 16. 14. 12. 10 0. 40. 80. 120 θ [degree]. 160. }ú. fÛ. ÇCÈÊÉ}ËÛRÍÏ<ËtÐð"ѯÒ4È¢ÓÕÔÖN×ØÊÙ CdILR>^HMÍô,DpuQY)klK+DGsQILPfsAjm^JMQK. ~Í. Ü. õ IVK+Ivh`Yb}lc P&sQZLY)vV.
(51) 10. 8. Noiseless SNR = 20 [dB] SNR = 10 [dB] SNR = 5 [dB]. εtot. 6. 4. 2. 0 0. 40. 80. 120 θ [degree]. 160. 200. 240. 160. 200. 240. © . 40. Noiseless SNR = 20 [dB] SNR = 10 [dB] SNR = 5 [dB]. εint. 30. 20. 10. 0 0. 40. 80. 120 θ [degree]. }ú. ³Û. ÇCÈÊɿ˲ܯÝÞ}ß±ÍÏ<ËtÐð"ѯÒ4ÈÓ4ÔÖN×àØÊÙ ÍCILR^JMÍô,DpuGYklK+DGsQIVP&sAjm^JMGK. ~. Ü. õ.ILKNIVhJY>b}ceP&sQZVYAvV.
(52) 6. Noiseless SNR = 20 [dB] SNR = 10 [dB] SNR = 5 [dB]. εext. 4. 2. 0 0. 40. 80. 120 θ [degree]. 160. 200. 240. [. fÛ. ÇCÈáÉ}˱ܯÝÞUÞ}ß²ÍÏ(Ë=ÐAð"Ñ¿Ò4ÈÓÕÔ0Ö×ØÊÙ ÍCIVR>^HMô=DpuQY)klK$DUsQILP&sjm^HMQK. ~Í. Ü. õ.IVK+Ivh`Y>blcePfsQZLY)Vv.
(53) y. y. x. Ò n l . n. ²! `I J S4 6c>?gAZ ©. x. Ò n l . y. ²! `I J S4 6c>?gAZ }ú. n. y. x. Ò nol . n. ²! I`J 74 6c>?dAZ [. fÛ. x. Ò n l . ÇCÈÊÉ}ËâRÍÏ<ËtÐð"ѯÒ4È¢ÓÕÔÖN×ØÊÙ CdILR>^HMÍô,DpuQY)klK+DGsQILPfsAjm^JMQK. ~Í. ²! I`J S4 6c>?gAZ 9. Ü. õ IVK+Ivh`Yb}lc P&sQZLY)vV. n.
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(55)
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