# Question: Which of the following functions could be the characteristic function

Which of the following functions could be the characteristic function of a random variable? See Appendix E, Section 5 for definitions of these functions.

(a) f a( ω) = rect( ω ).

(b) f b( ω) = tri( ω).

(c) f c( ω) = sinc( ω).

(d) f d( ω ) = sinc2( ω).

(a) f a( ω) = rect( ω ).

(b) f b( ω) = tri( ω).

(c) f c( ω) = sinc( ω).

(d) f d( ω ) = sinc2( ω).

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