Question
Download Solution PDF का व्युत्क्रम लाप्लास रूपांतरण क्या है?
का व्युत्क्रम लाप्लास रूपांतरण क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
एक सामान्य घातांकीय सिग्नल के लाप्लास रूपांतरण को निम्न द्वारा ज्ञात किया गया है:
जहाँ 'a' कोई धनात्मक पूर्णांक है।
गणना:
दिया गया है:
Additional Information
कुछ सामान्य व्युत्क्रम लाप्लास रूपांतरण निम्न हैं:
|
F(s) |
ROC |
f(t) |
|
1 |
All s |
δ (t) |
|
|
Re (s) > 0 |
u(t) |
|
|
Re (s) > 0 |
t |
|
|
Re (s) > 0 |
tn |
|
|
Re (s) > -a |
e-at |
|
|
Re (s) > -a |
t e-at |
|
|
Re (s) > -a |
tn e-at |
|
|
Re (s) > 0 |
sin at |
|
|
Re (s) > 0 |
cos at |
Last updated on May 9, 2025
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