The optional sampling theorem for submartingales in the sequentially planned context

TABLE 2.3. Continuous time Fourier transform (CTFT) theorems. The Fourier transform, typically complex, can be expressed in rectangular (Cartesian) coordinates as X(u) = R(u) + jI(u), or in polar coordinates, X(u) = |X(u)|e j X(u). Convolution is defined by x(t) * h(t) = ∞ −∞ x(τ) h(t − τ) dτ. The deterministic correlation integral is x(t) h(t) = ∞ −∞ x(τ)h * (τ − t)dτ = x(t) * h * (−t). When x = h, this operation is deterministic autocorrelation. T sampling theorem n x n sinc(2Bt − n) ↔ n x n e −jπu/B u 2B

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The optional sampling theorem for submartingales in the sequentially planned context

Cited by 2 publications

References 11 publications

The invariant optimal sampling plan in a sequentially planned decision procedure

The invariant optimal sampling plan in a sequentially planned decision procedure

Handbook of Fourier analysis & its applications

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