Convert between continuous and discrete-time signals. Nyquist-Shannon Sampling Theorem A bandlimited signal with maximum frequency $f_{max}$ can be perfectly reconstructed if:

$$ f_s \geq 2f_{max} $$

Reconstruction Ideal (Sinc Interpolation) $$ x(t) = \sum_{n=-\infty}^{\infty} x[n] \cdot \text{sinc}\left(\frac{t - …

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