周问题确定下图中数字滤波器结构传输函数说明.pdfVIP

QuestionsforWeek2

2015/2016

Question2.1

Determineitstransferfunction,H(z)Y(z)/X(z),ofthedigitalfilterstructureinthefigurebelow.

Isitcanonic?

Question2.2

ForthefollowingIIRtransferfunction

0.441−2−3

+0.362+0.02

()

=

−1−2−3

1+0.4+0.18−0.2

(i).Finditscanonicformoftheblockdiagram;

(ii).ByfactoringthenumeratorandthedenominatorofH(z),finditsblockdiagramthatisthe

cascadeofa1standa2ndorderIIRfilters.

Question2.3.

Thesystemsarespecifiedasfollows:

()

Yz()

02Yz2

()()(),()1()()

HzGzGzHzGzGz

0LH1HH

()()

XzXz

()

()Yz

Yz232

()2()(),()()()

HzGzGzHzGzGz

2HL3