1. Consider a continuous time-domain sinewave defined by

x(t) = cos(4000Πt)

that was sampled to produce the discrete sinewave sequence defined by

x(n) = cos(nΠ/2).

What is the f, sample rate, measured in Hz, that would result in sequence x(n)?

2 Consider the simple analog signal defined by x(t)=sin(2n700t) shown in Fig¬ure P2-13. Draw the spectrum of x(n) showing all spectral components, label¬ing their frequency locations, in the frequency range -2fs to +2fs.

3. If a person wants to be classified as a soprano In classical opera, she must be able to sing notes in the frequency range of 247 Hz to 1175 Hz. What is the minimum fs sampling rate allowable for bandpass sampling of the full audio spectrum of a singing soprano?