A digital integrator that uses a trapezoidal approximation is characterized by the difference equation where T is the sampling interval. Assuming zero initial condition y[−1] = 0, solve this equation...

where T is the sampling interval. Assuming zero initial condition y[−1] = 0, solve this equation iteratively when the input x[n] is

(a) δ[n]

(b) u[n]

Comment on the performance of this system as an integrator.