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Network TheoryNetwork Functions

For two causal LTI networks with transfer functions H1(s)=1/(s+1) and H2(s)=2/(s+3) connected in cascade, the overall transfer function is?

  • A3/(2s+4)
  • B2/[(s+1)(s+3)]
  • C2/(s+4)
  • D1/[(s+1)+(s+3)]
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Correct Answer: B. 2/[(s+1)(s+3)]
Explanation: Transfer functions multiply in cascade, so H(s)=H1(s)H2(s)=2/[(s+1)(s+3)].
Reference: Standard network theory: cascade transfer functions
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