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One property of the DCT that makes it quite suitable for compression is its high degree of "spectral compaction;" at a qualitative level, a signal's DCT represe
by 0x006A 13y ago
One property of the DCT that makes it quite suitable for compression is its high degree of "spectral compaction;" at a qualitative level, a signal's DCT representation tends to have more of its energy concentrated in a small number of coefficients when compared to other transforms like the DFT. This is desirable for a compression algorithm.
- arianvanp 13y agobut if you'd take the continous transform, my intuition says it doesnt matter. as it's both a time -> frequency/phase domain transformation. So they should store 'the same amount' of information. ??
- joeyo 13y agoKeep in mind that, in general, you need an infinite number of Fourier bases to represent an arbitrary waveform. But if you want to use a finite number of bases (and indeed as small of a number as you can get away with), and if the waveform you wish to represent has known structure, there can be more efficient representations.