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Graduate Convolution integral and fourier transform in linear response theory
Thank you guys for your responses.- kgz
- Post #4
- Forum: Differential Equations
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Graduate Convolution integral and fourier transform in linear response theory
Hello, Consider I have a linear time-invariant (LTI) system, with ##x(t)##, ##y(t)##, and ##h(t)##, as input, output, and impulse response functions, respectively. I have two choices to write the convolution integral to get ##y(t)##: $$ 1)\ \ \ y(t) = \int_{0}^{t} h(t-t')x(t')dt' $$ and...- kgz
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- Convolution Fourier Fourier transform Integral Linear Response Theory Transform
- Replies: 3
- Forum: Differential Equations