Lecture 30,
of regular conv .
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MA : 111007211101£
(7001-1100)
11100%11012
7,708, 101
1100+1099-1
1101) + 1101 (5901) =
gun, } → n=o
-1-1=-1-19-47
tien,} n=o
# complex MAS = 3.(NlogzN)-1N
13 ) + 8192 = 327,680
MAs=4327,680)= 1,310,720
FFT fewer than 20%
⇒ approach
standard c o n n
where a ,b,
and C a re complex
Blockconvqfu.fi#
Given {xinifn and {him}^ , N >> M , n=0
segme.int/onginput-*
Let✗k(e)= ✗(KL+d) 0<-1EL- 1-, 1<=91,2...
✗(n)= ⇐✗K In- KL) , 0
Next, Con. . is a linear operator
ycn)= hcn) * ✗(n)= hint*
!Xkcn - KL)
= [ hen) * XK (n - KL
(n ) = hen) * ✗KG)
overlapandttnd
1)Pad {×,