Convolution with Impulse (Dirac) Function Convolution with impulse function can be performed by the following properties: 1. X(t) f(t) = X(t). 3. x(t+t₁) S (t±+₂) EXP Find graphically, the convolution between X(t) and hit) shown below. Sol y(t) = x(t) -2 4 xit I 2. X(t) S(tito) = X(tito) = X(t±ti±t₂). 1 2 h(t). = x(t) @ [s(t) = S(t+1)] = X(t) Sit) - X(t) ⓇS(t+1) X(t) = x (t+1) = X(t) + [_x(t+1)] y(t) = A (t-1)-A (²+2) A: triangular pulse قسـم الكهرباء h(t) How did he get the x(t)@8(t)= X(t) -x (t+1) -t yft!
Convolution with Impulse (Dirac) Function Convolution with impulse function can be performed by the following properties: 1. X(t) f(t) = X(t). 3. x(t+t₁) S (t±+₂) EXP Find graphically, the convolution between X(t) and hit) shown below. Sol y(t) = x(t) -2 4 xit I 2. X(t) S(tito) = X(tito) = X(t±ti±t₂). 1 2 h(t). = x(t) @ [s(t) = S(t+1)] = X(t) Sit) - X(t) ⓇS(t+1) X(t) = x (t+1) = X(t) + [_x(t+1)] y(t) = A (t-1)-A (²+2) A: triangular pulse قسـم الكهرباء h(t) How did he get the x(t)@8(t)= X(t) -x (t+1) -t yft!
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Question
![Convolution with Impulse (Dirac) Function.
Convolution with impulse function can be performed by the
following properties:
1. X(t)
& (t) = x(t).
3. x(t+t₁) S(t±+₂)
EXP Find graphically, the convolution between x(b)
and hit) shown below..
Sol
Axit
y(t) = x(t) @ h(t).
1
2. X(t) Sttto) = x(t+to)
= X(t±ti±t₂).
2
= x(t) @ [s(t) = S(t+1)]
= X(t)
X(t) = x (t+1).
= X(t) + [_x(t+1)]
Sit) - X(t) ⓇS(t+1)
y(t) = A (t-1) _A (²+2)
A: triangular pulse
قسـم الكهرباء
h(t)
x(t)@s(t)= X(t)
2
-X(t+1)
-1
'yit)
K
How did he get the
value inside the circle
t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65544f65-50ae-4606-bc3f-2bdc3384b513%2Ff03ed6d6-d6a7-4efb-8373-c6515fc74985%2Fl3zkxu9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Convolution with Impulse (Dirac) Function.
Convolution with impulse function can be performed by the
following properties:
1. X(t)
& (t) = x(t).
3. x(t+t₁) S(t±+₂)
EXP Find graphically, the convolution between x(b)
and hit) shown below..
Sol
Axit
y(t) = x(t) @ h(t).
1
2. X(t) Sttto) = x(t+to)
= X(t±ti±t₂).
2
= x(t) @ [s(t) = S(t+1)]
= X(t)
X(t) = x (t+1).
= X(t) + [_x(t+1)]
Sit) - X(t) ⓇS(t+1)
y(t) = A (t-1) _A (²+2)
A: triangular pulse
قسـم الكهرباء
h(t)
x(t)@s(t)= X(t)
2
-X(t+1)
-1
'yit)
K
How did he get the
value inside the circle
t
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