频域微分积分特性例1For example 1Determine f (t) = tε(t) ←→ F (jω)=Ans:Notice:tε(t) =ε(t) * ε(t) ←→It’s wrongBecause ?(?)?(?) and (1/j?)?(?) is not defined
频域微分积分特性例1For example 1Determine f (t) = tε(t) ←→ F (jω)=Ans:Notice:tε(t) =ε(t) * ε(t) ←→It’s wrongBecause ?(?)?(?) and (1/j?)?(?) is not defined
频域微分积分特性例2For example 2DetermineAns:
频域微分积分特性例2For example 2DetermineAns:
时域微分积分特性例2For example 2Determine f (t)←→ F (jω)Ans:f ”(t) = ?(t+2) – 2 ?(t) + ?(t –2)F2(jω)= F [f ”(t)] = e j2ω– 2 + e – j2ω= 2cos(2ω) – 2 F (jω) =Notice:dε(t)/dt = ?(t) ←→ 1ε(t) ←×→ 1/(jω)Summary:If
时域微分积分特性例2For example 2Determine f (t)←→ F (jω)Ans:f ”(t) = ?(t+2) – 2 ?(t) + ?(t –2)F2(jω)= F [f ”(t)] = e j2ω– 2 + e – j2ω= 2cos(2ω) – 2 F (jω) =Notice:dε(t)/dt = ?(t) ←→ 1ε(t) ←×→ 1/(jω)Summary:If
时域微分特性例1f(t)= 1/t2 ←→For example 1Ans:
时域微分特性例1f(t)= 1/t2 ←→For example 1Ans:
例3-7-8解:
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