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s(t) = cos[2pi(6000)t] is sampled at fs=8 kHz.
1) The sampled signal is passed through an ideal LPF which rejects all frequencies above 8 kHz and has a gain Ts. Les sR(t) be the output of the LPF. Sketch LT[sR(t)], in which FT[] denotes the Fourier Transform, in frequency domain and determine the corresponding time-domain signal sR(t).
2) The sampled signal is passed through an ideal LPF which rejects all frequencies above 15 kHz. and has a gain Ts. Let sR(t) be the output of the LPF. Sketch FT[sR(t)], in which FT[] denotes Fourier Transform, in frequency domain and determine the corresponding time-domain signal sR(t).
A new semiconductor has Nc = 1019 /cm3 and Nv=5 x 1018, and Eg = 2eV. If it is doped with 1017 donors (fully ionized), calculate the electron, hole, and intrinsic carrier concentrations at 627K.
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