Solutions to Additional Problems
6.26. A signal x(t) has Laplace transform X (s) as given below. Plot the poles and zeros in the s-plane and determine the Fourier transform of x(t) without inverting X (s). (a) X (s) =
s2 +1 s2 +5s+6
X (s) zeros at: poles

Solutions to Additional Problems
7.17. Determine the z -transform and ROC for the following time signals: Sketch the ROC, poles, and zeros in the z -plane. (a) x[n] = [n k ], k > 0
X (z )
=
n=
x[n]z n
= z k , z = 0
Im
k multiple
Re
Figure P7.17. (a) ROC (

CHAPTER 8 Additional Problems 8.16 Provided that the channel bandwidth is not smaller than the reciprocal of the transmitted pulse duration T, the received pulse is recognizable at the channel output. With T = 1s, a small enough value for the channel band