UNITY
- GAIN FREQUENCY
Cµ Cπ g m v π rπ vπ ic ib ic ib Zb
UNITY -GAIN FREQUENCY C i c i c r v C i b i b Z b g m v - - PowerPoint PPT Presentation
UNITY -GAIN FREQUENCY C i c i c r v C i b i b Z b g m v <latexit
Cµ Cπ g m v π rπ vπ ic ib ic ib Zb
Cµ Cπ g m v π rπ vπ ic ib ic ib Zb
ic = gmvπ − vπsCµ vπ = ib × Zb
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1 rπ + sCπ + sCµ
= rπ 1 + srπ(Cπ + Cµ)
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sha1_base64="etQtNLa2abVYe3B9PfS6c9yQPD8=">ACyXicfVHPT9swGHXCrzZjrIwjl09UTExIVTJNGhwmVeMwDjswiQ60poc16EWdhLZDluxctp/yG3H/SezS0oLTPukWE/vfe85/r605EzpMPzt+Sura+sbrXbwYvPl1qvO9utvqgkoQNS8EJeplhRznI60ExzelKikXK6UV6feL0ixsqFSvycz0t6Ujgq5xljGBtqaTz53ti0hrewEeQiYlLVkMs2Lg5MomJgQhqAwpOGr2GoP2/HlG5HojwKUudDOuNQuHwIPg/Yi/BRThMz1l4XIhrnTMHSwFz+1uog6TDXvhrOA5iBrQRU2dJZ27eFyQStBcE46VGkZhqUcGS80Ip3UQV4qWmFzjKzq0MeCqpGZraKGfcuMISuk/XINM3bZYbBQairsyPcF1hP1VHPkv7RhpbOjkWF5Wmak/uLsoqDLsDtFcZMUqL51AJMJLP/CmSC7cy03b4bQvT0yc/B4F3vuBd9fd/tf2qm0UK7aA8doAh9QH10is7QABHvsye8G+H/8WX/k/9r7V9xrPDnpU/q+/WOrTEw=</latexit>β(s) = ic ib = gmrπ − srπCµ 1 + srπ(Cπ + Cµ) ≈ β0 1 + srπ(Cπ + Cµ)
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β(s) = ic ib = gmrπ − srπCµ 1 + srπ(Cπ + Cµ) ≈ β0 1 + srπ(Cπ + Cµ)
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sha1_base64="0NCR8sz4EP3sI6fszxZmtg5ysLY=">ACr3iclZHPT9swFMedbDBWfpXtuMvTKlARokrQpG2HSdV62ZFpK1SqQ3Bcp1jYiWU7aJWVv2/3fbfzAkFdcCFJ1n+6H39np+/zpTgxkbR3yB8XJt/dXG687m1vbObnfvzZkpK03ZmJai1JOMGCZ4wcaW8EmSjMiM8HOs+tRo5/fMG14Wfy0C8USeYFzkl1qfS7m+cMUugbw7hAL4AzjWhDnjqaA1C5kHwLizIs9TJ2vQqcOK13AM5p5HfpdVU+EghqMVpd9qDR3dnzq864yJUr8de/nSl10TP6pN1eNIjagMcQL6GHlnGadv/gWUkryQpLBTFmGkfKJo5oy6lgdQdXhilCr8mcT0WRDKTuNbwGvZ9ZgZ5qf0qLTZ1QpHpDEL6a3bl8RemYdak3xKm1Y2/5Q4XqjKsoLeXpRXAmwJze/BjGtGrVh4IFRzPyvQK+JNs/6PO96E+OGTH8P4ZPB5EH/0Bt+Xbqxgd6h96iPYvQRDdE3dIrGiAbHwY8AB0l4Ek7Ci/Dy9mgYLGveov8i5P8ACunMCw=</latexit><latexit sha1_base64="0NCR8sz4EP3sI6fszxZmtg5ysLY=">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</latexit>Unity-gain frequency ωT : ω at which | β(s) |= 1
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0 = 1 + ω2 T
ω2
β
⇒ ωT = ωβ q β2
0 − 1 ≈ β0ωβ
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sha1_base64="WfvuWj89UKOxQFIfrOf3nbxpIE=">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</latexit><latexit sha1_base64="oHSuLbMY1kemsgV+UtjLrl6S+yo=">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</latexit><latexit sha1_base64="oHSuLbMY1kemsgV+UtjLrl6S+yo=">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</latexit><latexit sha1_base64="oHSuLbMY1kemsgV+UtjLrl6S+yo=">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</latexit><latexit sha1_base64="oHSuLbMY1kemsgV+UtjLrl6S+yo=">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</latexit><latexit sha1_base64="oHSuLbMY1kemsgV+UtjLrl6S+yo=">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</latexit><latexit sha1_base64="oHSuLbMY1kemsgV+UtjLrl6S+yo=">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</latexit>ωT ≈ β0 rπ (Cπ + Cµ) Cπ = β0 rπωT − Cµ
<latexit sha1_base64="31lrRsJ1vbTV4tXgV7wbVoakK8k=">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</latexit><latexit sha1_base64="31lrRsJ1vbTV4tXgV7wbVoakK8k=">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</latexit><latexit sha1_base64="31lrRsJ1vbTV4tXgV7wbVoakK8k=">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</latexit><latexit sha1_base64="31lrRsJ1vbTV4tXgV7wbVoakK8k=">ACdnicfVHLbhMxFPUMhZbwaGh3sKhFaGlVNZpBlYAFUkU3XRYpoZXiaORx7iRW7bFl30FEo/kFPq47/oMNO5xkKpUWcSVLx+fch31ubpX0mCQ/o/jB2sNH6xuPO0+ePnu+2X2x9dWbygkYCqOMu8y5ByVLGKJEBZfWAde5gov86nShX3wD56UpBzi3MNZ8WspCo6Byro/mNEw5Vk9aOgeZdxaZ75TVjguapYDBiVpmtplNbOyoUxBgfv0tL0eLpGuguDkdIYHlAbIOjf6Hv30n16ryYNQcnTJ+v2kn6yDHofpC3okTbOs+41mxhRaShRKO79KE0sjmvuUAoFTYdVHiwXV3wKowBLrsGP6VvDd0NzIQWxoVTIl2ytytqr2f6zxkao4zf1dbkP/SRhUWH8a1LG2FUIrVoKJSFA1dLIFOpAOBah4AF06Gt1Ix48EnDKvqBPSu1+D4bv+h/76Zfj3sn1o0N8oq8JvskJe/JCTkj52RIBPkVvYx60Zvod7wT78ZvV6lx1NZsk78iTv4ABZC9/Q=</latexit>RTH vS R1 R2 RL vOUT C1 VCC RTH vS Rb Rb=R1||R2 rπ Cπ Cµ gmvπ RL vOUT +
+
OUT
RTH vS Rb Rb=R1||R2 rπ Cπ Cµ gmvπ RL vOUT +
+
OUT
RTH vS Rb Rb=R1||R2 rπ Cπ Cµ gmvπ RL vOUT +
+