Abstract
It is interesting to check whether the time-variant convolution encompasses the time-invariant convolution. By definition, the impulse response h(t) of a time-invariant system is the response to an input Dirac impulse \(\delta (t).\) If the system is excited by the time-shifted Dirac impulse \(\delta (t-s)\), the response \(h(t-s)\) also incorporates a shift without changing its original shape.
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Speidel, J. (2019). Properties of Time-Variant Convolution. In: Introduction to Digital Communications. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-00548-1_11
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DOI: https://doi.org/10.1007/978-3-030-00548-1_11
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