3. Consider a signal, x(t) = x(t) + x2(t), where x(t) and x(t) denote signals that have Fourier transforms as shown below: (F) X2(F) -150 150 F(H= -1000 100 250 F(HE) Sketch the Fourier spectrum of x(t). If it has to be transmitted using PCM, what is the minimum sampling rate required to prevent aliasing? Approximately sketch the Fourier spectrum of the sampled waveform for a sampling rate of 250 Hz. Suppose the above signal, x(t), is transmitted using PCM such that the quantization error does not exceed 0.25% of the peak-to-peak value of x(t). Assuming sampling is done at the Nyquist rate, what is the bit rate and approximate bandwidth of the resulting PCM signal? b) Consider an analog signal, x(t)=3 cos(2000xt)-2 cos(6000xt+x/4)+5 sin(10000xt), and assume we sample it uniformly using a sampling rate, Fs 5000 samples/sec. What is the analog signal, y(t), that we can reconstruct from the samples by using an ideal reconstruction filter?