Consider the periodic signals x 1 (t) = cos(2 t), x 2 (t) = cos((2 + )t)

Consider the periodic signals

x₁(t) = cos(2π t),               x₂(t) = cos((2π + φ)t)

(a) Let φ = 4π, show that if we sample these signals using T_s = 0.5 we get the same sample values from the two signals. Is any of these signals aliased? Explain.

(b) What would be possible values of φ so that when using T_s = 0.5 we get the same sample values from the two signals? How does φ relate to the sampling frequency ­Ω_s?