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- Why DCT is used instead of DFT?
- How do you overcome the limitation of a Fourier transform?
- Is DTFT always continuous?
Why DCT is used instead of DFT?
> DCT is preferred over DFT in image compression algorithms like JPEG > because DCT is a real transform which results in a single real number per > data point. In contrast, a DFT results in a complex number (real and > imaginary parts) which requires double the memory for storage.
How do you overcome the limitation of a Fourier transform?
The solution to this is time-frequency analysis, which is a field that deals with signal processing in both time and frequency domain.
Is DTFT always continuous?
The DTFT itself is a continuous function of frequency, but discrete samples of it can be readily calculated via the discrete Fourier transform (DFT) (see ยง Sampling the DTFT), which is by far the most common method of modern Fourier analysis.
