Causal FIR Filters

GUIDE: Mathematics of the Discrete Fourier Transform (DFT). Causal FIR Filters

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Causal FIR Filters

From Eq. (B.2), we that the impulse response $h(n)$ is alwayszero for $n<0$. Any filter having a zero impulse response prior to time $0$ is said to be causal. Thus, a tapped delay line such as that depicted in Fig. B.1 can only implement causal FIR filters. In software, however, we may easily implement non-causal filters as well based simply on the definition ofconvolution. However, noncausal filters are never precisely physical, of course, since events are causal in the real world (disregarding certain effects in quantum mechanics).

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