The discrete cosine transform (DCT) represents an image as a sum of sinusoids of varying magnitudes and frequencies. The functions of DCT computes the two-dimensional discrete cosine transform (DCT) of an image. The DCT has the property that, for a typical image, most of the visually significant information about the image is concentrated in just a few coefficients of the DCT. For this reason, the DCT is often used in image compression applications

i) Write a Matlab Program to obtain low bit rate block and compressed image quality using Discrete cosine transform (DCT) coding

ii) Detail each steps of compression and decompression and reduce the size to 8x8 non-overlapping blocks with DCT quantized coefficients for blocking artifacts by Matlab program.

iii) Highlight the results of reduced artifacts and validate the quality using PSNR value. Justify the result