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And what of the impulse itself?
That might have been part of the impulse".
Part of the impulse may be market-driven.
"It's so foreign to me," says Miller of the impulse.
The Laplace transform of the impulse response gives the transfer function and the Fourier transform of the impulse response is the frequency response.
So this expression is the Fourier transform of the impulse train, the continuous time Fourier transform.
And the associated outputs that that generated were delayed versions of the impulse response.
Suppose that we now want to talk about the derivative of the impulse.
In other words, the frequency response is the Fourier transform of the impulse response.
In particular, the processing of the impulse train of samples by a linear time invariant filter.
And that then can serve as a definition of the impulse.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com