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27 W e nk N n n N nk j n n n f N n f N ) * ( 1 ) ( 1 1 0 2 1 0 = = = π W e nk N n n N nk j n n n f N n f N ) * ( 1 ) ( 1 1 0 2 1 0 = = = π e W N j N 2π = W nk N W nk N ) ( ) ( W W W nk N T nk N k n n N = =
W nk N W W W nk n( k n) ( n+ k )* k = + = N N N 2 M N N ( 1) 2 2 F F N 1 2 1 n k ( k) = f n W N N (2 ) 1 n= 0 2 2 N 1 2 1 n k ( k) = f n W N N (2 + 1) 2 n= 0 2 2 N 2 1 1 k { ( n) ( n) } 1 2 2 F + W N F N { 1 k ( k) ( k) } 1 2 2 2 F W N F 28
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k i= 0 k ax i ( n i) byn ( j) Nz () i Hz () = = Dz () 1 k = 0 k az i j= 1 j= 1 i bz j j j a b i i ( 30
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R A R B T A T B 4.10 43
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Q Ha v jn v = C e π ( ) n n= Q C n v1 sinnπv v sinnπv 1 1 = Hd ( v)cosnπvdv= 0 = 0 nπ nπ v = f / f = f / f =. c N c s 2 0 2 sin0.2nπ C n =, n = 0,1,2,... 10 n π 55
v1 C 0 = Hd ( v ) dv = v1 = 0 0.2 C 1 h 4 sin0.2π π C 2 h 3 sin0.2 2 π 2 π C 3 h 2 C 4 h 1 C 5 h 0 56
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C n = δ ( n) C n δ( n) sin [( f c / f n) nπ ] nπ f c δ( n) f c f n n C n = sin[( / ) π] nπ 58
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Y s k Hs () = () n n n Xs ( ) = s + bs 1 + 2 bs +... + b s + b 1 2 n 1 b, b,... 1 2 b n n s 2 2s 3 2 4 3 2 5 4 3 2 s + 3. 24s + 5. 24s + 5. 24s + 3. 24s+ 1 60
1 Hs () = 4 3 2 s + 2. 613s + 3414. s + 2. 613s+ 1 ω c π 2500 π ω c tanπfct = tan = tan = 1 10000 4 ω c Hs s s () / 1 = ω c s 4 + 2. 613s 3 + 3414. s 2 + 2. 613s+ 1 H ( z ) = S= ( Z 1)/( Z+ 1) 1 z 1 4 z 1 3 z 1 2 z 1 ( ) + 2. 613 ( ) + 3414. ( ) + 2613. ( ) + z + 1 z + 1 z + 1 z + 1 1 0. 09398+ 0. 3759z + 0. 56391z + 0. 37594z + 0. 09398z Hz () = 1+ 0. 48609z + 0. 01767z 1 2 3 4 2 4 N ( z) X ( z) Y( z) = H( z) X( z) = Dz ( ) 61
N wn ( ) = xn ( ) bwn ( j) j= 1 j x n) b w( n 1) b w( n 2)... bn w( n ) ( 1 2 N N y( n) = awn ( i) i= 0 i a wn ( ) awn ( 1) awn ( 2)... a wn ( N ) + + + 0 1 2 N wn ( ) = x( n) b w( n 2) b w( n 4) 2 4 yn ( ) = awn ( ) + awn ( 1) + awn ( 2) + awn ( 3) + awn ( 4) 0 1 2 3 4 2 15 a N b N 2 15 2 15 2 15 2 15 2 15 62
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