Wiley signals and systems e book TLFe BO 329

Exercise 12.8 S~LCITV by using the deliriirrg eqiiation 12.13 of the F* l,rc?.nsform, a thc shift theorem, 1 the xnuciulation thetwxn.

Exer~ise 12.7

Show (1 2 2 3 ) by rising the inwrsc F* transforin 0x1 iii (v)

Exercise 12.8

S~LCITV by using the deliriirrg eqiiation (12.13) of the F* l,rc?.nsform,

a) thc shift theorem,

1)) the xnuciulation thetwxn

Exercise 12.9

Show t h ~ convolution theorem (12.48) You will need t o use the convolution Y I ~ for f[k] * ylk] arid the clcfiiiiiig cquatioii (12.13) of the F,

Exercise 12.10

Show the multiplication t l i ~ o r e m ( 12.49j, liking the cyclic coniiwlrrtion irit,egritl am1

inverse traiisformation ot the result with (12.16)