Question: Which of the following functions are suitable auto correlation functions? Tell why or why not. ( 0 , 0 , 1 , A,

Which of the following functions are suitable auto correlation functions? Tell why or why not. (ω0, τ0, τ1, A, B, C, and f0 are positive constants.)

(a) A cos ω0τ

(b) AΛ (τ/ τ0), where Λ(x) is the unit-area triangular function defined in Chapter 2

(c) AII (τ/ τ0), where II(x) is the unit-area pulse function defined in Chapter 2

(d) A exp (-τ / τ0) u(τ) where u(x) is the unit-step function

(e) A exp(-|τ|/ τ0)

(f) A sinc (f0τ) sin(πf0τ) / πf0τ

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