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1 2 3 4 C n a k

max 1 = 92% max 1 = 70% max 1 = 60% max 1 = 50% min(p) = 180 max(p) = 180 min(p) = 90 max(p) = 145 min(p) = 0 max(p) = 90 min(w) = w q min(w) = 2 w q min(w) = 3 w q

X L R Z δ 37% δ = 1 π µ σ f [m] µ σ f

f 90 0 4

90 δ f 90/2 f 90/3 f 90 = 516 σt 2 [khz], f 90/n = f 90 n σ t

S n S = x 1 y 1 x n y n S S 1 f 1 S 2 f 2 x 1 y 1 S 1 = x n y n, S 2 = x 1 y 1 x n y n x = x + T x, y = y + T y [ x y 1 ] = [ x y 1 ] 1 0 0 0 1 0 T x T y 1 x = xcosθ ycosθ, y = ycosθ + ycosθ

[ x y 1 ] = [ x y 1 ] cosθ sinθ 0 sinθ cosθ 0 0 0 1 [ x x = xs x, y = ys y y 1 ] = [ x y 1 ] S x 0 0 0 S y 0 0 0 1 3 3 S x cosθ S y sinθ A = S x sinθ S y cosθ S x (T x cosθ T y sinθ) S y (T x sinθ + T y cosθ) [ x y ] = [ x y 1 ] A S 2 S 1 T x T y θ S x S y E = S 2 A S 1 2 2 2 + 2 + E = 0 T x n [[[ ] ] x i (x i S x cosθ) + (y i S x sinθ) (S x T x cosθ) + (S x T y sinθ) [ S x cosθ] i=1 [[ y i (x i S y sinθ) (y i S y cosθ) (S y T x sinθ) (S y T y cosθ) i=1 ] ]] [ S y sinθ] = 0 E = 0 T y n [[[ ] ] x i (x i S x cosθ) + (y i S x sinθ) (S x T x cosθ) + (S x T y sinθ) [S x sinθ] [[ y i (x i S y sinθ) (y i S y cosθ) (S y T x sinθ) (S y T y cosθ) ] ]] [ S y cosθ] = 0

2 n i=1 E θ = 0 [[[ ] x i (x i S x cosθ) + (y i S x sinθ) (S x T x cosθ) + (S x T y sinθ) [(x i S x sinθ) + (y i S x cosθ) + (S x T x sinθ) + (S x T y cosθ)]] [[ ] + y i (x i S y sinθ) (y i S y cosθ) (S y T x sinθ) (S y T y cosθ) [ (x i S y cosθ) + (y i S y sinθ) (S y T x cosθ) + (T y sinθ)]]] = 0 2 n i=1 E = 0 S x [[ ] x i (x i S x cosθ) + (y i S x sinθ) (S x T x cosθ) + (S x T y sinθ) [ (x i cosθ) + (y i sinθ) (T x cosθ) + (T y sinθ)]] = 0 2 n i=1 E = 0 S y [[ ] y i (x i S y sinθ) (y i S y cosθ) (S y T x sinθ) (S y T y cosθ) [ (x i sinθ) (y i cosθ) (T x sinθ) (T y cosθ)]] = 0 T x T y + 2 n i=1 E θ = 0 [[[ ] ] x i (x i S x cosθ) + (y i S x sinθ) [(x i S x sinθ) + (y i S x cosθ)] [[ y i (x i S y sinθ) (y i S y cosθ) ] ]] [ (x i S y cosθ) + (y i S y sinθ)] = 0 2 2 n i=1 n i=1 E S x = 0 [[ x i (x i S x cosθ) + (y i S x sinθ) ] E S y = 0 [[ y i (x i S y sinθ) (y i S y cosθ) ] ] [ (x i cosθ) + (y i sinθ)] = 0 ] [ (x i sinθ) (y i cosθ)] = 0

A T x T y [ ] Sx cosθ S A = y sinθ S x sinθ S y cosθ x 1 y 1 x n y n S 1 S 2 A 0 x 1 y 1 [ Sx cosθ S y sinθ S x sinθ S y cosθ x n y n ] 0 C 1 C 2 f 1 f 2 A D 1 f 1 D 1 C 1 C 2 A u l L u(l) = u(l + l), u(l) = x(l) + y(l)j

u(l) = C n e j2πnl/l n= C n C n = 1 L ˆL 0 u(l) e j2πnl/l C n u(l) = M n= M C n e j2πnl/l C n (f 1 ) f 1 C n (f 2 ) f 2 Cn SP (f 1 ) f 1 Cn SP (f 2 ) f 2 C D n (f 1 ) f 1 C n

C D n (f 1 ) C n (f 2 ) CSP n (f 1 ) C SP n (f 2 ) C n(f 2 ) T n (x) = cos [ n cos 1 (x) ], x [ 1, 1], n N 0 z m 1 z(x) = k=0 [a k T k (x)] a 0 2 N T n [ 1, 1] [( x = cos k 1 ) ] π, k = 1, 2,..., N 2 N m N a j a j = 2 N N f k=1 a j = 2 N [ [( cos k 1 2 ) π N N [f(x k )T j (x k )] k=1 ]] [( cos k 1 ) ] jπ, j = 0, 1,..., m 1 2 N a k

a k a k (f 1 ) f 1 a k (f 2 ) f 2 a SP k (f 1) f 1 a SP k (f 1) f 2 a D k (f 1) f 1 a D k (f 1 ) a k (f 2 ) asp k (f 1) a SP k (f 2) a k(f 1 )

1 f 90 f 90 f 90/2

e w = w w w w w e ph = p p p p

N e w (i) i=1 ē w = N N e ph (i) i=1 ē ph = N N N ē w e w (i) 2 i=1 s w = N 1 N ē ph e ph (i) 2 i=1 s ph = N 1 e w e ph NoE e w max 1 e ph max 2 A(i) = 1 e w > max 1 e ph > max 2 A(i) = 0 N A(i) i=1 NoE(e ph, e w ) = 100% N w p P od w min(w) p min(p) p max(p) B(i) = 1 w < min(w) p < min(p) p < max(p) B(i) = 0 N B(i) i=1 P od(p, w) = 100% N

e w e ph

ē w ē ph s w s ph

e w e ph

ē w ē ph s w s ph

e w e ph

ē w ē ph s w s ph

ē w ē ph s w s ph max 1 = 92%, 70%, 60%, 50% max 2 = 0, 1, 2...121 120 ē w ē ph s w s ph

max 1 = 92% max 1 = 70%

max 1 = 60% max 1 = 50%

min(p) = 180 90 0, max(p) = 180, 145, 90 min(w) = w q, 2 w q, 3 w q... 85 w q w q = 0.01182 w q f 90 0 90 min(p) = 180 max(p) = 180

min(p) = 90 max(p) = 145 min(p) = 0 max(p) = 90

min(w) = w q, 2 w q, 3 w q w q = 0.02364 min(p) = 45,44 43... 35 max(p) = 45,46 47... 125 w q f 90 0 90 ±50 45 5 95 min(w) = w q

min(w) = 2 w q min(w) = 3 w q