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Loic Guegan 2023-10-27 09:10:05 +02:00
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source/signal_processing/fourier_tables.rst
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@ -16,7 +16,7 @@ Table of pairs
:math:`e^{-at}u(t)`, :math:`\frac{1}{j\omega + a}` :math:`e^{-at}u(t)`, :math:`\frac{1}{j\omega + a}`
:math:`e^{j\omega_0t}`, :math:`2\pi\delta(\omega-\omega_0)` :math:`e^{j\omega_0t}`, :math:`2\pi\delta(\omega-\omega_0)`
:math:`\mathrm{cos}(\omega_0t)`, :math:`\pi[\delta(\omega-\omega_0)+\delta(\omega+\omega_0)]` :math:`\mathrm{cos}(\omega_0t)`, :math:`\pi[\delta(\omega-\omega_0)+\delta(\omega+\omega_0)]`
:math:`\mathrm{sin}(\omega_0t)`, :math:`\frac{\pi}{j}[\delta(\omega-\omega_0)+\delta(\omega+\omega_0)]` :math:`\mathrm{sin}(\omega_0t)`, :math:`\frac{\pi}{j}[\delta(\omega-\omega_0)-\delta(\omega+\omega_0)]`
Table of properties Table of properties