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x(t) =

k=

xkej 2

T

kt

x(t) = a0

2 +

k=1

akcos

2

T kt

+

k=1

bksin

2

T kt

ak bk

x0 = a02

xk= 1

2(ak jbk) xk =

1

2(ak+ jbk)

T = 2

x(t) =

8

2

sin t

1

9sin 3t +

1

25sin 5t

1

49sin 7t +

t

x(t)

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x(t) ak= 0 xk {xk} = 0 xk= xk

ak bk xk

x1(t) x1(t)

x2(t)

x3(t) x2(t)

x[n] N = 4

ak =1

2

|k| k= 1, 0, 1 2

y[n] x[n]

h1[n] =

sin(

4n)

n

2cos(

2n)

y[n] ej

2n

w[n] h2[n]

nx ny nw nz

][2

nh][1

nh

nj

e 2

z[n] h2[n] z[n]2z[n 1] + 2z[n 2] =w[n] w[n 1]

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a

x[n] y[n]

h1[n] = anu[n 1]

nx n][1 nh

h1[n]

nx n+

1

h1[n] h2[0] = 1 h2[1] =2a h2[n] = 0 n 2 n

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h(t) =

1 |t|< T10 |t| T1

x(t) =

n=

A(t n)

T1 A

y(t) = 1

Ha(j)

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!"#+#,"-.('/&%0"

!"#$%&'()#

.('/&%0"-!"#+#,"

1(2,&3 4

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1(2,&3 8

597 97

1(2,&3 :

44

;

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x(t) X(j)

H(ej) xp(t) x(t)

xd[n]

xa(t)

xa(t)