For the discrete-time periodic signal x[n] = cos (0.7n), (a) Determine its fundamental period N 0 .

For the discrete-time periodic signal x[n] = cos (0.7πn),

(a) Determine its fundamental period N₀.

(b) Suppose we sample the continuous-time signal x(t) = cos (πt) with a sampling period T_s = 0.7. Is the Nyquist sampling conditions satisfied? How does the sampled signal compare to x[n]?

(c) Under what conditions would sampling a continuous-time signal x(t) = cos (πt) give a discrete-time sinusoid x[n] that resembles x(t)? Explain and give an example.