i need you do a code for JEPG Compression in Matlab

The code should not use the existing functions you should show the work following these steps :

1. Splitting We split our image into the blocks of 8*8 blocks. It forms 64 blocks in which each block is referred to as 1 pixel.

1. Color Space Transform In this phase, we convert R, G, B to Y, Cb, Cr model. Here Y is for brightness, Cb is color blueness and Cr stands for Color redness. We transform it into chromium colors as these are less sensitive to human eyes thus can be removed.

1. Apply DCT We apply Direct cosine transform on each block. The discrete cosine transform (DCT) represents an image as a sum of sinusoids of varying magnitudes and frequencies.

1. Quantization In the Quantization process, we quantize our data using the quantization table.

1. Serialization In serialization, we perform the zig-zag scanning pattern to exploit redundancy.

1. Vectoring We apply DPCM (differential pulse code modeling) on DC elements. DC elements are used to define the strength of colors.

1. Encoding In the last stage, we apply to encode either run-length encoding or Huffman encoding. The main aim is to convert the image into text and by applying any encoding we convert it into binary form (0, 1) to compress the data.

The program should be able to allow the user to choose compression rate which is 1