HW_09 - ‫ﺻﻔﺤﻪ ١‬ ‫‪A‬‬ ‫‪2H...

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Unformatted text preview: ‫ﺻﻔﺤﻪ ١‬ ‫‪A‬‬ ‫‪2H L‬‬ ‫1‬ ‫‪2Ω‬‬ ‫ﻣﺴﺎﺋﻞ ﻓﺼﻞ ﻫﺸﺘﻢ‬ ‫1‪C‬‬ ‫‪0.5 F‬‬ ‫‪2H‬‬ ‫۱‐ ﺍﻟﻒ‐ ﺍﻣﭙﺪﺍﻧﺲ ﺩﻳﺪﻩ ﺷﺪﻩ ﺩﺭﺳﺮﻫﺎﻱ ‪ A,B‬ﻣﺪﺍﺭ ﻣﻘﺎﺑﻞ ﺭﺍ ﺑﻪ ﺭﻭﺵ ﺗﺤﻠﻴﻞ‬ ‫ﮔﺮﻩ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ.‬ ‫ﺏ‐ ﺍﺩﻣﻴﺘﺎﻧﺲ ﺩﻳﺪﻩ ﺷﺪﻩ ﺩﺭ ﺳﺮﻫﺎﻱ ‪ A,B‬ﺭﺍ ﺑﻪ ﺭﻭﺵ ﺗﺤﻠﻴﻞ ﻣﺶ ﻣﺤﺎﺳﺒﻪ‬ ‫= )‪ Z AB ( s‬ﺭﺍ ﻣﺸﺎﻫﺪﻩ ﻧﻤﺎﻳﻴﺪ.‬ ‫1‬ ‫ﻧﻤﺎﻳﻴﺪ ﻭ ﺩﺭﺳﺘﻲ‬ ‫)‪Y AB ( s‬‬ ‫‪0.5 F‬‬ ‫‪B‬‬ ‫۲‐ ﺟﺎﻱ 1‪ L1, C‬ﺭﺍ ﺩﺭ ﻣﺪﺍﺭ ﺑﺎﻻ ﻋﻮﺽ ﮐﻨﻴﺪ ﻭ ﺑﺎﺭ ﺩﻳﮕﺮ ‪ YAB, ZAB‬ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ.‬ ‫‪1O‬‬ ‫+‬ ‫‪1H‬‬ ‫‪VAB‬‬ ‫‪1O‬‬ ‫‬‫‪2O‬‬ ‫+‬ ‫‪4H Vo‬‬ ‫‬‫‪1F‬‬ ‫‪6O‬‬ ‫۳‐ ﺍﻟﻒ‐ ﺍﻣﭙﺪﺍﻧﺲ )‪ ZAB(s‬ﺭﺍ ﺑﺮﺍﻱ ﻣﺪﺍﺭ ﻣﻘﺎﺑﻞ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ )ﺑﺎ ﺗﺮﮐﻴﺐ‬ ‫ﺍﻣﭙﺪﺍﻧﺲﻫﺎ(.‬ ‫= )‪ H ( s‬ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ. ﺍﻳـﻦ‬ ‫) ‪Vo ( s‬‬ ‫ﺏ‐ ﺗﺎﺑﻊ ﺷﺒﮑﻪ ﺍﻧﺘﻘﺎﻝ ﻭﻟﺘﺎﮊ‬ ‫) ‪V AB ( s‬‬ ‫ﻗﺴﻤﺖ ﺭﺍ ﻳﮏ ﺑﺎﺭ ﺑﻪ ﮐﻤﮏ ﺗﺤﻠﻴﻞ ﻣﺶ ﻭ ﺑﺎﺭ ﺩﻳﮕﺮ ﺑﻪ ﮐﻤﮏ ﺗﺮﮐﻴـﺐ‬ ‫ﺍﻣﭙﺪﺍﻧﺲﻫﺎ ﺍﺯ ﺳﻤﺖ ﺭﺍﺳﺖ ﺑﻪ ﺳﻤﺖ ﭼﭗ ﺣﻞ ﮐﻨﻴﺪ.‬ ‫۴‐ ﺍﻟﻒ‐ ﺍﻣﭙﺪﺍﻧﺲ ﻭﺭﻭﺩﻱ)‪ Zin(s‬ﺭﺍ ﺑﺮﺍﻱ ﻣﺪﺍﺭ ﻣﻘﺎﺑﻞ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ.‬ ‫‪1F‬‬ ‫‪is‬‬ ‫‪1O‬‬ ‫+‬ ‫1‪v‬‬ ‫‬‫‪1F‬‬ ‫‪1H‬‬ ‫‪1O‬‬ ‫+‬ ‫‪vo‬‬ ‫-‬ ‫= )‪( Z in ( s‬‬ ‫= ) ‪ Z T ( s‬ﭼﻴﺴﺖ؟‬ ‫1‪2v‬‬ ‫) ‪V1 ( s‬‬ ‫)‬ ‫)‪I s (s‬‬ ‫) ‪Vo ( s‬‬ ‫ﺏ‐ﺗﺎﺑﻊ ﺷﺒﮑﻪ ﺍﻣﭙﺪﺍﻧﺲ ﺍﻧﺘﻘﺎﻟﻲ‬ ‫)‪I s ( s‬‬ ‫‪2H‬‬ ‫‪2O‬‬ ‫‪1F‬‬ ‫‪1F‬‬ ‫‪1O‬‬ ‫‪1F‬‬ ‫+‬ ‫‪vo‬‬ ‫-‬ ‫۵‐ ﻣﻲﺧﻮﺍﻫﻴﻢ ﻓﺮﮐﺎﻧﺲﻫﺎﻱ ﻃﺒﻴﻌﻲ ﻣﺪﺍﺭ ﻣﻘﺎﺑﻞ ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﻢ:‬ ‫ﺍﻟﻒ‐ ﺑﻪ ﺭﻭﺵ ﺗﺤﻠﻴﻞ ﻣﺶ ﻫﻤﻪ ﻓﺮﮐﺎﻧﺲﻫﺎﻱ ﻃﺒﻴﻌﻲ ﻣﺪﺍﺭ ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ.‬ ‫ﺏ‐ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﻣﻌﺎﺩﻻﺕ ﺣﺎﻟﺖ، ﻫﻤﻪ ﻓﺮﮐﺎﻧﺲﻫﺎﻱ ﻃﺒﻴﻌﻲ ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ.‬ ‫ﭖ‐ ﺑﺎ ﺍﻋﻤﺎﻝ ﻳﮏ ﻣﻨﺒﻊ ﻭﻟﺘﺎﮊ ﻧﺎﺑﺴﺘﻪ ‪ vs‬ﺩﺭ ﻣﺤﻠﻲ ﮐﻪ ﻣﻨﺎﺳـﺐ ﻣـﻲﺩﺍﻧﻴـﺪ ﻭ ﻣﺤﺎﺳـﺒﻪ‬ ‫= ) ‪ ، H 1 ( s‬ﻓﺮﮐﺎﻧﺲﻫﺎﻱ ﻃﺒﻴﻌـﻲ ﺷـﺒﮑﻪ ﺭﺍ ﻣـﺸﺨﺺ‬ ‫) ‪Vo ( s‬‬ ‫ﻗﻄﺒﻬﺎﻱ ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫) ‪Vs ( s‬‬ ‫ﻧﻤﺎﻳﻴﺪ. ﺁﻳﺎ ﻫﻤﻪ ﻓﺮﮐﺎﻧﺲﻫﺎﻱ ﻃﺒﻴﻌﻲ ﺭﺍ ﺑﺎ ﺍﻳﻦ ﺗﺮﺗﻴﺐ ﻳﺎﻓﺘﻪﺍﻳﺪ؟‬ ‫ﺕ‐ ﺑﺎ ﺍﻋﻤﺎﻝ ﻳﮏ ﻣﻨﺒﻊ ﺟﺮﻳﺎﻥ ﻧﺎﺑﺴﺘﻪ ‪ is‬ﺩﺭ ﻣﺤﻞ ﻣﻨﺎﺳﺐ ﻭ ﻣﺤﺎﺳﺒﻪ ﻗﻄﺒﻬـﺎﻱ ﺗـﺎﺑﻊ‬ ‫= )‪ H 2 ( s‬ﻓﺮﮐﺎﻧﺲﻫﺎﻱ ﻃﺒﻴﻌﻲ ﺷﺒﮑﻪ ﺭﺍ ﻣﺸﺨﺺ ﮐﻨﻴـﺪ.ﺁﻳـﺎ ﻫﻤـﻪ‬ ‫) ‪Vo ( s‬‬ ‫ﺷﺒﮑﻪ‬ ‫)‪I s ( s‬‬ ‫1‪L‬‬ ‫‪1F‬‬ ‫2‪L‬‬ ‫1‪C‬‬ ‫‪1O‬‬ ‫ﻓﺮﮐﺎﻧﺲﻫﺎﻱ ﻃﺒﻴﻌﻲ ﺷﺒﮑﻪ ﺭﺍ ﺑﺎ ﺍﻳﻦ ﺗﺎﺑﻊ ﺷﺒﮑﻪ ﻳﺎﻓﺘﻪﺍﺪ؟‬ ‫۶‐ ﺍﻟـ ـﻒ‐ ﺩﺭ ﻣـ ـﻮﺭﺩ ﺗﻌـ ـﺪﺍﺩ ﺻـ ـﻔﺮﻫﺎ ﻭ ﻗﻄﺒﻬـ ـﺎﻱ ﺗـ ـﺎﺑﻊ ﺷـ ـﺒﮑﻪ )‪H(s‬‬ ‫ـ‬ ‫ـ‬ ‫ـ‬ ‫ـ‬ ‫ـ‬ ‫ـ‬ ‫= )‪ ( H ( s‬ﺩﺭ ﺷﺒﮑﻪ ﻧﺮﺩﺑﺎﻧﻲ ﻣﻘﺎﺑﻞ ﭼﻪ ﻣـﻲ ﺩﺍﻧﻴـﺪ؟ ﺑـﺎ‬ ‫+‬ ‫‪vo‬‬ ‫-‬ ‫‪2O‬‬ ‫‪is‬‬ ‫‪1F‬‬ ‫) ‪Vo ( s‬‬ ‫)‬ ‫)‪I s ( s‬‬ ‫ﻓﺮﺽ ۱=۲‪ C۱ = L۱ = L‬ﺗﺎﺑﻊ ﺷﺒﮑﻪ ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ ﻭ ﺻـﻔﺮﻫﺎ‬ ‫ﻭ ﻗﻄﺐ ﺭﺍ ﻣﺸﺨﺺ ﻧﻤﺎﻳﻴﺪ.‬ ‫ﺏ‐ ۱‪ L‬ﻭ ۲‪ L‬ﺭﺍ ﻃﻮﺭﻱ ﺍﻧﺘﺨﺎﺏ ﻧﻤﺎﻳﻴﺪ ﮐﻪ ﭘﺎﺳﺦ ﻭﻟﺘﺎﮊ ‪ vo‬ﺑﺮﺍﻱ‬ ‫ﺻﻔﺤﻪ ٢‬ ‫ﻣﺴﺎﺋﻞ ﻓﺼﻞ ﻫﺸﺘﻢ‬ ‫‪is‬‬ ‫ﻭﺭﻭﺩﻱ ) ‪ is (t ) = Sin(t ) + Cos (t‬ﺩﺭﺣﺎﻟﺖ ﺩﺍﻳﻤﻲ ﺻﻔﺮ ﺷﻮﺩ.‬ ‫ﭖ‐ ﻣﻘﺪﺍﺭ 1‪ C‬ﺭﺍ ﭼﻨﺎﻥ ﺗﻌﻴﻴﻦ ﮐﻨﻴﺪ ﮐـﻪ ﺑـﺮﺍﻱ ﻭﺭﻭﺩﻱ ‪ is (t ) = 2e −t‬ﺟﻤﻠـﻪ ﻧﻤـﺎﻳﻲ ﺑـﻪ ﺻـﻮﺭﺕ ‪) Ke −t‬ﻫﻤﺎﻧﻨـﺪ ﺷـﮑﻞ‬ ‫ﻭﺭﻭﺩﻱ( ﺩﺭ ﭘﺎﺳﺦ ‪ vo‬ﻇﺎﻫﺮ ﻧﺸﻮﺩ.‬ ‫۷‐ ﺍﻟﻒ‐ ﺑﺎ ﻧﻮﺷﺘﻦ ﻣﻌﺎﺩﻻﺕ ﮔـﺮﻩ ﺩﺭ ﺣـﻮﺯﻩ ﺯﻣـﺎﻥ ﺩﺭ ﻣـﺪﺍﺭ ﻣﻘﺎﺑـﻞ ﺑـﻪ‬ ‫‪i‬‬ ‫‪1F‬‬ ‫ﺻﻮﺭﺕ ‪ Yn(D).e = is‬ﻭ ﺗﺒﺪﻳﻞ ﻻﭘﻼﺱ ﺍﻳﻦ ﻣﻌﺎﺩﻻﺕ، ﭘﺎﺳـﺦ‬ ‫+ ‪1F‬‬ ‫+‬ ‫‪1O‬‬ ‫ﻭﺭﻭﺩﻱ ﺻﻔﺮ ﺭﺍ ﺑـﺮﺍﻱ ﺣﺎﻟـﺖ ﺍﻭﻟﻴـﻪ 2 = ) − ‪v1 (o − ) = v 2 (o‬‬ ‫2‪V‬‬ ‫‪1O‬‬ ‫1‪V‬‬ ‫‬‫‬‫‪2i‬‬ ‫= ) ‪ H ( s‬ﺭﺍ ﻫﻢ ﻣﺸﺨﺺ ﻧﻤﺎﻳﻴﺪ‬ ‫) ‪V2 ( s‬‬ ‫ﻣﺸﺨﺺ ﻧﻤﺎﻳﻴﺪ ﺗﺎﺑﻊ‬ ‫)‪I s ( s‬‬ ‫)ﭘﺎﺳﺦ ﻫﻤﺎﻥ )‪ v2(t‬ﻣﻲ ﺑﺎﺷﺪ(.‬ ‫ﺏ‐ ﺻﻔﺮﻫﺎﻱ ﺗﺎﺑﻊ ﺷﺒﮑﻪ )‪ H(s‬ﮐﺪﺍﻡ ﺍﺳﺖ؟ ﺁﻳﺎ ﻣﻲﺗﻮﺍﻥ ﻭﺭﻭﺩﻱ ﺭﺍ ﻃﻮﺭﻱ ﺍﺧﺘﻴﺎﺭ ﮐﺮﺩ ﮐﻪ ﭘﺎﺳﺦ ﮐﺎﻣﻞ ﻣﺘﺤﺪ ﺻﻔﺮ ﺷﻮﺩ؟‬ ‫ﺷﮑﻞ ﮐﻠﻲ ﻭﺭﻭﺩﻱ ﺭﺍ ﺍﺑﺘﺪﺍ ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﺻﻔﺮ ﺗﺎﺑﻊ ﺷﺒﮑﻪ ﻣﺸﺨﺺ ﻭ ﺳﭙﺲ ﺁﻥ ﺭﺍ ﮐﺎﻣﻼ ﻣﺸﺨﺺ ﻧﻤﺎﻳﻴﺪ.‬ ‫ﭖ‐ ﺑﺎ ﻗﺮﺍﺭ ﺩﺍﺩﻥ ﻣﺪﺍﺭﻫﺎﻱ ﻣﻌﺎﺩﻝ ﻣﻨﺎﺳﺐ ﺑﺮﺍﻱ ﺧﺎﺯﻥﻫﺎ ﺩﺭ ﺣﻮﺯﻩ ﻓﺮﮐﺎﻧﺲ ‪ S‬ﻭ ﺗﺤﻠﻴﻞ ﻣﺴﺘﻘﻴﻢ ﻣﺪﺍﺭ ﺩﺭ ﺣﻮﺯﻩ ﻓﺮﮐﺎﻧﺲ ‪s‬‬ ‫)ﺑﻪ ﺟﺎﻱ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﻣﻌﺎﺩﻻﺕ ﺣﻮﺯﻩ ﺯﻣﺎﻥ ﻭ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺗﺒﺪﻳﻞ ﻻﭘﻼﺱ ﺍﻳﻦ ﻣﻌﺎﺩﻻﺕ( ﺑﻪ ﺳﻮﺍﻝ ﺍﻟﻒ ﭘﺎﺳﺦ ﮔﻮﻳﻴﺪ.‬ ‫‪2R‬‬ ‫‪L‬‬ ‫‪Is‬‬ ‫‪R‬‬ ‫‪L‬‬ ‫‪R‬‬ ‫‪Io‬‬ ‫= )‪ H ( s‬ﺭﺍ ﺩﺭ ﻣـﺪﺍﺭ ﺷـﮑﻞ ﻣﻘﺎﺑـﻞ ﻣﺤﺎﺳـﺒﻪ‬ ‫)‪I o (s‬‬ ‫۸‐ ﺍﻟﻒ‐ ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫)‪I s ( s‬‬ ‫ﻧﻤﺎﻳﻴﺪ.‬ ‫ﺏ‐ ﻣﻨﺤﻨــﻲ ﺩﺍﻣﻨــﻪ ) ‪ H ( jω‬ﻭ ﺯﺍﻭﻳــﻪ ) ‪ ∠H ( jω‬ﺭﺍ ﺑــﻪ ﺭﻭﺵ‬ ‫ﺗﺮﺳﻴﻤﻲ )ﺗﻘﺮﻳﺒﻲ( ﻣﺸﺨﺺ ﻧﻤﺎﻳﻴﺪ )ﻓﺮﺽ ﮐﻨﻴﺪ ‪ L = 2R‬ﺍﺳﺖ(.‬ ‫) ‪V2 ( s‬‬ ‫)‪V ( s‬‬ ‫1 = )‪ H 1 (s‬ﻭ‬ ‫۹‐ ﺍﻟ ـﻒ‐ ﺗﻮﺍﺑ ـﻊ ﺷ ـﺒﮑﻪ‬ ‫ـ‬ ‫)‪I s (s‬‬ ‫)‪I s ( s‬‬ ‫‪2L‬‬ ‫‪2F‬‬ ‫1‪V‬‬ ‫‪1H‬‬ ‫‪3/ 2 H‬‬ ‫‪Is‬‬ ‫‪1O‬‬ ‫‪2F‬‬ ‫3‪V‬‬ ‫‪1H‬‬ ‫‪1O‬‬ ‫2‪V‬‬ ‫= ) ‪ H 2 ( s‬ﺭﺍ ﺩﺭ ﻣ ـﺪﺍﺭ‬ ‫ـ‬ ‫ﺭﺍ‬ ‫ـ‬ ‫ـ‬ ‫ﺷـﮑﻞ ﻣﻘﺎﺑـﻞ ﻣﺤﺎﺳـﺒﻪ ﻧﻤﺎﻳﻴـﺪ ﻭ ﭘﺎﺳـﺦ ﺩﺍﻣﻨـﻪ ) ‪H ( jω‬‬ ‫ﻣﺸﺨﺺ ﻧﻤﺎﻳﻴﺪ.‬ ‫ﺏ‐ ﺁﻳﺎ ﻣﻲ ﺗﻮﺍﻥ ﺩﺭ ﻣﻮﺭﺩ ﺗﻌﺪﺍﺩ ﺻﻔﺮﻫﺎ ﻭ ﻗﻄﺐﻫﺎﻱ ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫) ‪V3 ( s‬‬ ‫)‪I s (s‬‬ ‫= )‪ H 3 ( s‬ﺑﺪﻭﻥ ﻣﺤﺎﺳﺒﻪ ﺁﻥ ﺍﻇﻬﺎﺭ ﻧﻈﺮ ﮐﺮﺩ؟ ﭼﻨﺪ ﺻﻔﺮ ﻭ ﭼﻨﺪ ﻗﻄﺐ ﻣﻲ ﺗﻮﺍﻧﻴﺪ ﻣﺸﺨﺺ ﮐﻨﻴﺪ؟ ﻣﺤﻞ ﺁﻥﻫـﺎ‬ ‫‪4H‬‬ ‫2‪V‬‬ ‫‪0.5V‬‬ ‫1‬ ‫‪1F‬‬ ‫‪1O‬‬ ‫‪3H‬‬ ‫‪2F‬‬ ‫1‪V‬‬ ‫‪1/6O‬‬ ‫ﺩﺭ ﺻﻔﺤﻪ ‪ s‬ﮐﺠﺎﺳﺖ؟ ﺑﺎ ﻣﺤﺎﺳﺒﻪ ﺁﻥ ﺗﺎﺑﻊ ﺷﺒﮑﻪ ﻣﺤﻞ ﺻﻔﺮﻫﺎ ﻭ ﻗﻄﺐﻫﺎ ﺭﺍ ﻣﺸﺨﺺ ﻧﻤﺎﻳﻴﺪ.‬ ‫= ) ‪ H ( s‬ﺭﺍ ﺑﻪ ﮐﻤﮏ ﺭﻭﺵ ﺗﺤﻠﻴﻞ ﮔﺮﻩ ﺩﺭ‬ ‫) ‪V2 ( s‬‬ ‫۰۱‐ ﺍﻟﻒ‐ ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫)‪I s ( s‬‬ ‫ﻣﺪﺍﺭ ﻣﻘﺎﺑﻞ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ.‬ ‫ﺏ‐ ﺷﺒﮑﻪ ﭼﻨﺪ ﻓﺮﮐﺎﻧﺲ ﻃﺒﻴﻌﻲ ﺩﺍﺭﺩ؟ ﺁﻥﻫﺎ ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ.‬ ‫‪Is‬‬ ‫ﭖ‐ ﻣﺘﻐﻴﺮ 2‪ v‬ﭼﻨﺪ ﻓﺮﮐﺎﻧﺲ ﻃﺒﻴﻌﻲ ﺩﺍﺭﺩ؟ﻫﻤﻪ ﺁﻥﻫﺎ ﺭﺍ ﻣﺤﺎﺳﺒﻪ‬ ‫ﻧﻤﺎﻳﻴﺪ.‬ ‫١١- ﻣﻨﺤﻨﻲﻫﺎﻱ ﺩﺍﻣﻨﻪ ﻭ ﺯﺍﻭﻳﻪ ﺗﻮﺍﺑﻊ ﺷﺒﮑﻪ ﺩﺭ ﻣﺴﺎﻳﻞ ۸، ۹ﻭ ۰۱ ﺭﺍ ﺑﻪ ﮐﻤﮏ ‪ SPICE‬ﺑﺎ ﺗﻌـﺪﺍﺩ ﻧﻘـﺎﻁ ﮐـﺎﻓﻲ ﻭ ﺑـﻪ ﻓﻮﺍﺻـﻞ‬ ‫ﻣﻨﺎﺳﺐ ﻧﻘﺎﻁ ﮐﻪ ﺑﺎ ﺩﻗﺖ ﮐﺎﻓﻲ ﻣﻨﺤﻨﻲ ﺭﺍ ﻣﺸﺨﺺ ﻧﻤﺎﻳﺪ ﺭﺳﻢ ﻧﻤﺎﻳﻴﺪ ﻭ ﺿﻤﻴﻤﻪ ﺣﻞ ﺍﻳﻦ ﺳﺮﻱ ﻣﺴﺎﻳﻞ ﻧﻤﺎﻳﻴﺪ.‬ ...
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This note was uploaded on 02/06/2011 for the course ECE 423 taught by Professor Dolatabadi during the Spring '11 term at Amirkabir University of Technology.

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