We address a more general version of a classic question in probability theory. Suppose X ∼ ${\bf N}_{{\bf p}}(\mu,\Sigma)$ (μ, Σ). What functions of X also have ...

Three of the common filter topologies are Chebyshev, Butterworth, and Bessel. Which filter topology has the flatest response in the passband? Which filter topology has the steepest decline into the ...

Using λth power means in the case λ ≥ 1 it is proven that the Chebyshev constant of any bounded centered set in a metric space is equal to one-half the topological diameter of the set. Thus the ...

The Chebyshev filter features a steep roll-off, but has ripple in the pass band, so it is not suited for audio signal use, where a flat response is ideal. The roll off is so fast that the common ...