Revision #145 → #1235 · back to history
addedFourier analysisaa01525bd30f
addedFourier synthesisb8f02ad8b7f9
addedFourier transformationb3a787147fff
addedTransforms are linear and unitary (Parseval/Plancherel)456f173110b6
addedExponentials are eigenfunctions of differentiatione0dede3fad2a
addedConvolution theoremc2e0d91e30ff
addedJPEG compression via discrete cosine transform35070d44def8
addedFive variants of Fourier analysis59f0205da85e
addedDFT is the only numerically computable variant0bfa614b3434
addedContinuous-time Fourier transform formulae2fae32fbea2
addedInverse Fourier transform formula2670006f8dc9
addedFourier transform of a periodic function is a Dirac comba40b5ee99e5d
addedFourier series48216a05cc2d
addedSufficient condition for recovery (dual of Nyquist–Shannon)8b8b0c4fe992
addedDTFT as dual of the Fourier series5e9cfdb56bf0
addedPoisson summation formula4181742ecf7d
addedWhittaker–Shannon interpolation / perfect recovery980c6f24b73e
addedDTFT of a periodic sequence is a Dirac comb8e5dfa9ad62d
addedDiscrete Fourier transform of one cycle17a3e767bcf4
addedInverse DFT (discrete Fourier series)2adf8bc20510
addedDFT computed via FFT7f81733b6d3e
addedPeriodic functions have discrete spectra0c2992ec244e
addedOne-to-one mapping of even/odd componentse8a41bce1e1f
addedTransform of a real-valued function is conjugate symmetricd10237ec2c25
addedUncertainty principle time–frequency trade-offe9539b0ff792
addedFourier transform on locally compact abelian groups4d57cf0112db
addedGeneral convolution theoremcd23a083ba6a
addedLagrange resolvents as the DFT of order 39f893c03c748