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Formula for bandwidth of cascaded amplifier

5 years ago in Research Writing By Tarushi Yadav

Research Proposal

My conducting my research in electronics. My research topic is ‘Simulation of Ultra-Wideband Low Noise Amplifier using Cascaded amplifiers’. Can someone help me derive a formula for bandwidth shrinkage of cascaded amplifier?

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By Rahul S Khemnar Answered 5 years ago

OK. Consider the DC gain of each amplifier is unity. The amplifier transfer function is then given by H(s) = 1/s+1 Therefore the transfer function of n such amplifiers are A(s) = (1/s+1)n Solving for -3db roll frequency, |A(jw)| = |(1/jw+1)|n = 1/2 So that (1/(wt)2 +1)2 = 1/2 The denominator of LHS gives you the value of 2 Which in return gives you the final equation, w=1/21/n-1

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