how to do Laplace transforms

2019 11 20
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更新时间：2024 2 17
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(a) Use symbolic math to find the Laplace transform of the signal
x(t) = e−t sin(2t)u(t).
(b) Use symbolic math to work problem
x(t) = e−4t u(t)+e−5t sin(5t)u(t).
(c) Use symbolic math to find the impulse response of the causal system H1(s)
(d) Use symbolic math to find the impulse response of the causal system H2(s)
(e) Use symbolic math to find the impulse response of the causal system H3(s)
(f) Use symbolic math to find the inverse Laplace transform of X(s)

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Walter Roberson
Walter Roberson 2019-11-20
laplace() and ilaplace()
richard harvins
richard harvins 2019-11-20
编辑：richard harvins 2019-11-20
How do I solve these questions?
(a) Use symbolic math to find the Laplace transform of the signal
x(t) = exp(−t) sin(2t)u(t).
(b) Use symbolic math to work problem
x(t) = exp(−4t) u(t)+exp(e−5t) sin(5t)u(t).
(c) Use symbolic math to find the impulse response of the causal system
H1(s)=1/((s+1)(s+3))
(d) Use symbolic math to find the impulse response of the causal system H2(s)
H2(s)=s/(s^2+s+1)
(e) Use symbolic math to find the impulse response of the causal system H3(s)
H3(s)=s^2/(s^2+2s+1)
(f) Use symbolic math to find the inverse Laplace transform of X(s)
X(s)=1/(s^2+9)
Walter Roberson
Walter Roberson 2019-11-20
It would be very rare to want to use the charge on the electron, e, as an additive constant in a question such as these. Perhaps the given formula are incorrect and exponential should have been written instead of subtraction? e^(-t) which in MATLAB would be exp(-t)
Walter Roberson
Walter Roberson 2019-11-20
How would you write
exp(−t) sin(2t)u(t)
as a matlab expression using the symbolic toolbox?

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回答（1 个）

Rahaf
Rahaf 2024-2-17

0 个投票

f(t)=u(t-9)

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