举例说明卷积过程 01.5 2 o1.5 1 1 p0.5 p0.5 0 + (E× 0 2 2 -2 2 A 6 6 (wjy/u)y 2 2 0 -2 -6 4 -2 2 伞1 (w-ujy(w)x 2 040.-o08060o0806080009 04 2 -4 -2 0 6 4 m m n≤-2，y(n=0
举例说明卷积过程 n -2, y(n)=0
n=-1 n=0 n=1 2 2 1.5 2 2 p1.5 (wx 1 E× p05 (E× 1 p0.5 边1 也1 2 .2 5 5 5 0 5 -5 0 5 m 4 4 23 (w-u)u 2 2 (w-u)y 2 ....2 ol 0 0 5 0 5 -5 0 5 5 0 10 10 10 m p8 (w-u)y(wjx 6 5 (w-u)y(w)x 5 E's.E× 5 3 0 0 0 e ee -5 0 5 -5 0 5 5 0 5 m m m y(-1)=8 y(0)=6+4=10 y(1)=4+3+6=13
n=-1 n=0 n=1 y(-1)=8 y(0)=6+4=10 y(1)=4+3+6=13
n=5 n=6 n=7 2 : p15 2 2 命2 15 1 15 E× p0.5 0 (wjx (w)x 1 2 -5 0 5 -5 5 0 5 m 4 4 (w-u)y 3 2 2 2 (w-u)y 2 52 1 0 0 ee 0 5 0 5 -5 0 过 5 2 2 m : (w-u)y(wx 0 0命 命e.中 (w-ujy(w)x 0 66è6606-6. 1 (w-ujy(w)x : -2 -2 -5 0 5 -5 0 5 0 m m m y(5)=-1+1=0 y(6)=0.5 y(n)=0,n≥7
n=5 n=6 n=7 y(5)=-1+1=0 y(6)=0.5 y(n)=0, n 7
15 013 10 10 8 5 04 p0.5 0 .4 -2 0 2 4 6 8
卷积和与两序列的前后次序无关 y(n)=x(n)*h(n)=x(m)h(n-m) m=-o∞ 令n-m=k =∑x(n-k)h(k) 则m=n-k n-k=-00 =>h(k)x(n-k)=h(n)*x(n) k=-00
卷积和与两序列的前后次序无关 ( ) ( ) ( ) ( ) ( ) m y n x n h n x m h n m ( ) ( ) n k x n k h k n m k m n k 令 则 ( ) ( ) ( ) ( ) k h k x n k h n x n