Reference no: EM13844429

Problems:

1) Calculate the convolution y(t) = x(t)*h(t) for x(t)=u(t)-u(t-3), h(t)=e^-3tu(t)

2) Calculate the convolution y(t) = x(t)*h(t) for x(t)=e^-4tu(t-3), h(t)=e^-3tu(t)

3) Find the impulse response, h[n], for the difference equation

y[n] + 2y[n-1] = x[n] + 2x[n-2]

4) Determine the impulse response by first finding the unit step response, ys(t), for the following system

y''+ 6y' + 5y = x(t)

5) Given the continuous time causal systems represented by the differential equation below,

y" + 6y' + 5y = x'-2x

Calculate the impulse response by first calculating the ramp response, ys(t).