Dct example

1. What are applications of DCT?
2. How to calculate DCT?
3. What is DCT process?
4. Why is DCT used in JPEG compression?

What are applications of DCT?

DCTs are widely used for applications such as encoding, decoding, video, audio, multiplexing, control signals, signaling, and analog-to-digital conversion. DCTs are also commonly used for high-definition television (HDTV) encoder/decoder chips.

How to calculate DCT?

The DCT Transform Matrix

The two-dimensional DCT of A can be computed as B=T*A*T' . Since T is a real orthonormal matrix, its inverse is the same as its transpose. Therefore, the inverse two-dimensional DCT of B is given by T'*B*T .

What is DCT process?

DCT stands for Discrete Cosine Transform. It is a type of fast computing Fourier transform which maps real signals to corresponding values in frequency domain. DCT just works on the real part of the complex signal because most of the real-world signals are real signals with no complex components.

Why is DCT used in JPEG compression?

The JPEG process is a widely used form of lossy image compression that centers around the Discrete Cosine Transform. The DCT works by separating images into parts of differing frequencies.