Nov 19, 2005 #1 E eedac Junior Member level 3 Joined Mar 16, 2005 Messages 30 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,286 Location HK Activity points 1,562 normalized power wave I am in trouble on a eq. about 'normalized power wave' (a, and b) in a reference book. a = (Vn + Zo In) / (2√Zo) b = (Vn - Zo In) / (2√Zo) where n= 1, 2; indicate ports Questions: 1) what 'normalized' means? 2) should 'pwr = ½Re{VI}' is? why now 'pwr = (½V) / (√Zo)' ? I can't understand the pwr defination, pls help? ref book: R.Ludwig, P. Bretchko; p184, p168 of 'rf circuit design theory and applications'
normalized power wave I am in trouble on a eq. about 'normalized power wave' (a, and b) in a reference book. a = (Vn + Zo In) / (2√Zo) b = (Vn - Zo In) / (2√Zo) where n= 1, 2; indicate ports Questions: 1) what 'normalized' means? 2) should 'pwr = ½Re{VI}' is? why now 'pwr = (½V) / (√Zo)' ? I can't understand the pwr defination, pls help? ref book: R.Ludwig, P. Bretchko; p184, p168 of 'rf circuit design theory and applications'
Nov 21, 2005 #2 J jian Advanced Member level 3 Joined Sep 8, 2003 Messages 858 Helped 176 Reputation 352 Reaction score 21 Trophy points 1,298 Activity points 9,433 Hi, Eedac: What normalized power wave means that you can find the power as: P = 1/2 [ V * conj(I)] or P = 1/2 [ |a*a| - |b*b| ] If you define "a" and "b" based voltage waves: a = 1/2(V+Zc*I) and b = 1/2 (V-Zc*I), you will have P = 1/2 [ |a*a| - |b*b| ] / Zc Regards.
Hi, Eedac: What normalized power wave means that you can find the power as: P = 1/2 [ V * conj(I)] or P = 1/2 [ |a*a| - |b*b| ] If you define "a" and "b" based voltage waves: a = 1/2(V+Zc*I) and b = 1/2 (V-Zc*I), you will have P = 1/2 [ |a*a| - |b*b| ] / Zc Regards.