Suppose you sample the analog signal with a sampling period T s = 0.25 to generate x[n]

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Suppose you sample the analog signal

1-t 0<t< 1 x(t) otherwise

with a sampling period Ts = 0.25 to generate x[n] = x(t)|t=nTs.

(a) Use the function stem to plot x[n] and x[ˆ’n] for an appropriate interval.

(b) Find the even, xe[n], and the odd, xo[n], components of x[n]. Plot them using stem. Verify that xe[n] + xo[n] = x[n] graphically.

(c) Compute the energy εx of x[n] and compare it to the sum of the energies εxe and εxo of xe[n] and xo[n].

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