X-Nico

unusual facts about Transformation between distributions in time–frequency analysis


Moyal product

Every correspondence prescription between phase space and Hilbert space, however, induces its own proper -product.


Frequency analysis

Edgar Allan Poe's "The Gold-Bug", and Sir Arthur Conan Doyle's Sherlock Holmes tale "The Adventure of the Dancing Men" are examples of stories which describe the use of frequency analysis to attack simple substitution ciphers.

Letter frequency

The use of letter frequencies and frequency analysis plays a fundamental role in cryptograms and several word puzzle games, including Hangman, Scrabble, Bananagrams, and the television game show Wheel of Fortune.

Time–frequency analysis

On the other hand, using Gabor transform causes an improvement in the clarity and readability of the representation, therefore improving its interpretation and application to practical problems.

Early work in time–frequency analysis can be seen in the Haar wavelets (1909) of Alfréd Haar, though these were not significantly applied to signal processing.

Modified Wigner distribution function, Gabor–Wigner distribution function, and so on (see Gabor–Wigner transform).


see also