A continuous-time signal x(t) is obtained at the output of an ideal lowpass filterwith cutoff frequency We = 1,000'77'. If impulse-train sampling is performed on x(t),which of the following sampling periods would guarantee that x(t) can be recoveredfrom its sampled version using an appropriate lowpass filter?(a) T = 0.5 x 10- 3(b) T = 2 X 1o- 3(c) T = 10-

Consider a continuous time periodic signal𝑦(𝑡) = 6 cos(23𝜋𝑡) + 3 sin(16𝜋𝑡)(a) State the Nyquist sampling rate of y(t).(b) Regardless of your answer in (a), assume sampling frequency fs = 5Hz. Write down the sampled data y[n] for n =0, 1, . . . , 9. Suppose y[0] = y(0). (Give your answers correct to two decimal places)(c) Consider the following quantizer𝑄(𝑥) = {6,2,−2,−6,𝑥 ≥ 40 ≤ 𝑥 < 4−4 ≤ 𝑥 < 0𝑥 < −4Write down the quantized samples v[n] = Q(y[n])(d) Compute the quantization error q[n] = v[n] − y[n].(e) Under the conditions set above, determine the length of bit stream required to store y(t) for 8 seconds.

The desired signal of maximum frequency (fm)  centred at frequency fc=0   may be recovered if The sampled signal is passed through low pass filter Filter has the cut off frequency fm Both of the above None of the above

State the Nyquist sampling rate of y(t)

nyquist criteria sates that original signal can be reconstructed by passing samples through a Select one:a. HPF with cut off fsb. LPF with cut off fsc. HPF with cut off fmd. LPF with cut off fm

nyquist criteria sates that original signal can be reconstructed by passing samples through a Select one:a. LPF with cut off fmb. LPF with cut off fsc. HPF with cut off fmd. HPF with cut off fs