Abstract
We have already discussed the time-variant impulse response w(t, s) and the delay spread function \(g(t,\tau )\), which characterize a linear time-variant system completely and hence are called system functions. Now we will see that the latter provides meaningful Fourier transforms for applications in electrical engineering, and thus system functions in the frequency domain.
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01 January 2019
In the original version of the book, the Chapters 7, 8, 12, 17 and 23 were revised.
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- 1.
Please note, for the one-dimensional Fourier transform of a one-dimensional function it does not matter whether the pair \(t,\, f_{t}\) or \(\tau ,\, f_{\tau }\) is used, because x(t) and \(x(\tau )\) are the same functions and also the spectra \(X(f_{t})\) and \(X(f_{\tau })\) are mathematically the same.
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Speidel, J. (2019). System Functions and Fourier Transform. In: Introduction to Digital Communications. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-00548-1_12
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DOI: https://doi.org/10.1007/978-3-030-00548-1_12
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Online ISBN: 978-3-030-00548-1
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