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In signal processing, discrete transforms are mathematical transforms, often linear transforms, of signals between discrete domains, such as between discrete time and discrete frequency. Many common integral transforms used in signal processing have their discrete counterparts. For example, for the Fourier transform the counterpart is the discrete Fourier transform.

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  • Transformada discreta (ca)
  • Discrete transform (en)
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  • Transformada discreta, processament de senyal, són transformacions matemètiques de senyals en el domini discret tals com domini temporal discret i domini freqüencial discret. Moltes transformacions matemètiques contínues també tenen la seva versió discreta com per exemple la transformada de Fourier té la versió en transformada discreta de Fourier. Aplicacions : Transformades discretes més conegudes: * Transformada discreta de Fourier * Transformada ràpida de Fourier * Transformada cosinus discreta * Transformada z (ca)
  • In signal processing, discrete transforms are mathematical transforms, often linear transforms, of signals between discrete domains, such as between discrete time and discrete frequency. Many common integral transforms used in signal processing have their discrete counterparts. For example, for the Fourier transform the counterpart is the discrete Fourier transform. (en)
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  • Transformada discreta, processament de senyal, són transformacions matemètiques de senyals en el domini discret tals com domini temporal discret i domini freqüencial discret. Moltes transformacions matemètiques contínues també tenen la seva versió discreta com per exemple la transformada de Fourier té la versió en transformada discreta de Fourier. Aplicacions : * Anàlisi espectral (domini freqüencial). * Compressió de dades : consisteix en el procés de codificació de dades utilitzant el mínim nombre possible de bits, o unitats d'informació. Això es pot aconseguir gràcies a la utilització d'esquemes de codificat o còdecs. * Filtratge digital : es realitza un processament matemàtic sobre el senyal, generalment mitjançant l'ús de la Transformada ràpida de Fourier; obtenint-se a la sortida el resultat del processament matemàtic. Transformades discretes més conegudes: * Transformada discreta de Fourier * Transformada ràpida de Fourier * Transformada cosinus discreta * Transformada z (ca)
  • In signal processing, discrete transforms are mathematical transforms, often linear transforms, of signals between discrete domains, such as between discrete time and discrete frequency. Many common integral transforms used in signal processing have their discrete counterparts. For example, for the Fourier transform the counterpart is the discrete Fourier transform. In addition to spectral analysis of signals, discrete transforms play important role in data compression, signal detection, digital filtering and correlation analysis. The discrete cosine transform (DCT) is the most widely used transform coding compression algorithm in digital media, followed by the discrete wavelet transform (DWT). Transforms between a discrete domain and a continuous domain are not discrete transforms. For example, the discrete-time Fourier transform and the Z-transform, from discrete time to continuous frequency, and the Fourier series, from continuous time to discrete frequency, are outside the class of discrete transforms. Classical signal processing deals with one-dimensional discrete transforms. Other application areas, such as image processing, computer vision, high-definition television, visual telephony, etc. make use of two-dimensional and in general, multidimensional discrete transforms. (en)
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