definition 17.58 Stationary process and power spectral density

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definition 17.58: Stationary process and power spectral density17.58definition 17.56: Correlation17.56definition 17.29: Fourier transform; the treatise convention17.29theorem 17.63: Matched filter17.63theorem 17.59: Wiener–Khinchin17.59theorem 17.57: Wiener–Khinchin, finite-energy form17.57corollary 17.49: Lattice sums and the reciprocal lattice17.49definition 17.79: Band-limited function17.79definition 25.52: Wigner function25.52example 17.31: The three standard pairs17.31lemma A.584: Fourier injectivity in n variablesA.584lemma 17.35: Multiplication formula17.35proposition 17.90: Hankel transform as the axially symmetric Fourier transform17.90proposition 17.68: The Laplace transform is a Fourier transform17.68proposition 17.30: Elementary properties17.30proposition 28.60: A wave packet translates at v_g and spreads at a rate set by the curvature of \omega(k)28.60proposition 10.39: Fourier reduction on the line10.39theorem 17.53: Convolution theorem17.53theorem 17.32: Fourier inversion17.32theorem 17.78: Causality implies dispersion relations17.78theorem 17.36: Plancherel17.36theorem 17.47: Poisson summation17.47theorem 17.104: Projection-slice theorem17.104proof : ch:15-fourier-integral-transforms@proof-38proofproposition 17.61: Mean-square response of a damped resonator17.61proof : ch:15-fourier-integral-transforms@proof-36proof

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depends_on Correlation declared parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2174
depends_on Fourier transform; the treatise convention declared parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2174
depends_on Matched filter declared parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2343
depends_on Wiener–Khinchin declared parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2187