Repeat Prob XXXXXXXXXXfor an analog integrator that is realized using the trapezoidal approximation (see Ex. 4.10) Prob.6.3-7 As seen in Ex. 4.9, an analog differentiator can be realized using a...

Repeat Prob. 6.3-7 for an analog integrator that is realized using the trapezoidal approximation (see Ex. 4.10)

Prob.6.3-7

As seen in Ex. 4.9, an analog differentiator can be realized using a backward difference system specified by

Find and sketch the magnitude and phase responses of this system. Further, find the responses of this system to the following input sinusoids:

(a) x_a[n] = cos(0.1n)

(b) x_b[n] = sin(πn/6)

(c) x_c(t) = cos(106πt) sampled at rate F_s
= 2 MHz