2. Signals g₁(t) = 104П(104) and 92(t) = 8(t) are applied at the inputs of ideal low-pass filters H₁(f) = П(f/20,000) and H₂(ƒ) = П(f/10,000) as shown in Figure 2. The outputs yi(t) and y2(t) of these filters are multiplied to obtain the signal y(t) = y₁(t)y2(t). Find the Nyquist rate of y₁(t), y2(t), and y(t). Use the convolution property and the width property of convolution to determine the bandwidth of y₁(t)y2(t). g, (1) HD (1) y(t)=y₁(1) y₂(1) 8₂(1) ₂(1) H() Figure 2