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2.1

2.1. 2.2. X(n). X(n-2). 0. 0. 4. 0. 1. 1. 5. 1. 2. 6. 2. 2. 3. 3. 3. 7. n. n. ~. X(n). n. 2.4. ~ ~ ~ ~. ~. ~ ~ ~ ~. ~ ~. ~ f(n). 2.6(2). 2.9. X(m). y(-m). y(12-m). y(13-m). y(11-m). y(-m). y(9-m). y(8-m). y(10-m). y(6-m). y(5-m). y(14-m). y(4-m).

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2.1

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  1. 2.1

  2. 2.2 X(n) X(n-2) 0 0 4 0 1 1 5 1 2 6 2 2 3 3 3 7 n n ~ X(n) n

  3. 2.4 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

  4. ~ f(n)

  5. 2.6(2)

  6. 2.9 X(m) y(-m) y(12-m) y(13-m) y(11-m) y(-m) y(9-m) y(8-m) y(10-m) y(6-m) y(5-m) y(14-m) y(4-m) y(3-m) y(2-m) y(1-m) y(7-m) 0 1 2 3 4 5 6 7 8 9 y(m) f(n) -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -4- -4- -4- -4- -4- -4- -4- -4- -4- -4- -4- -4- -4- -4- -4- -4- 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 -2- -2- -2- -2- -2- -2- -2- -2- -2- -2- -2- -2- -2- -2- -2- -2- 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 -8 -8 -8 -8 -8 -8 -8 -8 -8 -8 -8 -8 -8 -8 -8 -8 -6 -6 -6 -6 -6 -6 -6 -6 -6 -6 -6 -6 -6 -6 -6 -6 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 0 1 2 3 4 9 8 5 6 7 f(0)=1 f(7)=-1 f(1)=2 f(8)=-3 f(2)=3 f(9)=-5 f(3)=4 f(10)=-4 f(4)=5 f(11)=-3 f(5)=3 f(12)=-2 f(6)=1 f(13)=-1

  7. 2.10

  8. 2.19 周期卷积 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 以N=7为周期

  9. 循环卷积 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

  10. 线性卷积

  11. 循环卷积和线性卷积相等 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

  12. 2.20

  13. N=16时域抽取法 X1(0) X1(1) X1(2) X1(3) X1(4) X1(5) X1(6) X1(7) X2(0) X2(1) X2(2) X2(3) X2(4) X2(5) X2(6) X2(7) 0000，0000 0001，1000 0010，0100 0011，1100 0100，0010 0101，1010 0110，0110 0111，1110 1000，0001 1001，1001 1010，0101 1011，1101 1100，0011 1101，1011 1110，0111 1111，1111 X(0) X(1) X(2) X(3) X(4) X(5) X(6) X(7) X(8) X(9) X(10) X(11) X(12) X(13) X(14) X(15) X7(0) X7(1) X8(0) X8(1) X9(0) X9(1) X10(0) X10(1) X11(0) X11(1) X12(0) X12(1) X13(0) X13(1) X14(0) X14(1) X3(0) X3(1) X3(2) X3(3) X4(0) X4(1) X4(2) X4(3) X5(0) X5(1) X5(2) X5(3) X6(0) X6(1) X6(2) X6(3) x(0) x(8) x(4) x(12) x(2) x(10) x(6) x(14) x(1) x(9) x(5) x(13) x(3) x(11) x(7) x(15) WN0 -1 WN0 WN4 -1 -1 -1 WN0 WN0 WN2 WN4 WN6 -1 -1 -1 -1 -1 WN0 WN0 WN4 -1 -1 -1 WN0 WN0 WN1 WN2 WN3 WN4 WN5 WN6 WN7 -1 -1 -1 -1 -1 -1 -1 -1 WN0 -1 WN0 WN4 -1 -1 -1 WN0 WN0 WN2 WN4 WN6 -1 -1 -1 -1 WN0 -1 WN0 WN4 -1 -1 WN0 -1 2.21

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