By applying the properties of the auto correlation function, determine whether the following are acceptable for auto

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By applying the properties of the auto correlation function, determine whether the following are acceptable
for auto correlation functions. In each case, tell why or why not.

(a) R1 (τ) = 2 cos(10πτ) + cos (30πτ)

(b) R2 (τ) = 1 + 3 cos (30πτ)

(c) R3 (τ) = 3 cos (20πτ + π / 3)

(d) R4 (τ) = 4Λ (τ / 2)

(e) R5 (τ) = 3II (τ / 6)

(f) R(τ) = 2 sin (10πτ)

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