3 4. Find the convolution of f(t)={2' -t, 0 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Correction for Number 4 in Fourier Transform

f(t) = 2/3 t, 0<t<3 and 0, otherwise

Coursework 4
(3
-t,
4. Find the convolution of f(t)={2°
0<t<3
0, otherwise
| 4, -1<t<3
|0, otherwise
and g(t)=
Answer:
1<-1
4
(1 + 1)²
f *g = { 12
-1 <t < 2
3
2 <t < 3
4
12 – (1 – 3)² 3 <t<6
t > 6
Transcribed Image Text:Coursework 4 (3 -t, 4. Find the convolution of f(t)={2° 0<t<3 0, otherwise | 4, -1<t<3 |0, otherwise and g(t)= Answer: 1<-1 4 (1 + 1)² f *g = { 12 -1 <t < 2 3 2 <t < 3 4 12 – (1 – 3)² 3 <t<6 t > 6
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