ELL727 weekly quiz-3

Consider a DAC having a reconstruction pulse of the form p(t) = e^-2tu(t). The equalizer filter E(f) needed to reconstruct the original analog signal from its sampled values must have a dc response E(f = 0) =

Consider a sinusoidal signal at 6-MHz sent through a system consisting of an ideal ADC taking samples every 100-ns followed by an ideal DAC for this sampling rate. The output signal is a sinusoid with a frequency (in MHz) of

If the Nyquist sampling rate for a band-limited signal x(t) is F, then the Nyquist rate for the signal x(t)cos(2πFt) is

A signal x(t) is band-limited to 3 kHz. It is first sampled at a rate f_s kHz, and then reconstructed using a LPF having zero amplitude response only beyond 5 kHz. The minimum value of f_s for perfect distortion-free reconstruction of x(t) is

The Nyquist sampling rate for the signal x(t) = sinc(f₁t).sinc(f₂t), where sinc(x) = sin(πx)/(πx), is

• max(f₁,f₂)

• min(f₁,f₂)

• f₁ + f₂

• |f₁ - f₂|