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Which of the following is the odd component of the signal x(t)=e^(jt)?(a) cost(b) j*sint(c) j*cost(d) sintI got this question in a job interview.This interesting question is from Classification of Signals in portion DSP – Basic Signaling of Digital Signal Processing

Answer»

The correct ANSWER is (B) J*sint

To elaborate: Let x(t)=e^(JT)

Now, xo(t)=(1/2)*(x(t)-x(-t))

=(1/2)*(e^(jt) – e^(-jt))

=(1/2)*(cost+jsint-cost+jsint)

=(1/2)*(2jsint)

=j*sint.



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