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An HD camera records 1080p video (1080*1920, prograssive, 30 frames/sec) wiht croma subsampling 4:2:0 for a total of 90 minutes. The quantizer which is being used for the chroma representation has 256 levels per component (8 bits per component). I want to compute the following:

  1. If the dimensions of the sensor that recrods the video are $\ 3276*5856μm $, find the sampling vector $\ T_{3x3} $ (or grid vector, I don't know exactly the name of that vector) for the initial RGB recording.
  2. Compute the compression ration in order to broadcast the video in real time though a channel with $\ throughput = 2Mbits/sec $.

I know that the sampling vector for the progressive video has the form:

$\ T = \begin{matrix} \frac{T_t}{2} & 0 & 0\\0 & T_h & 0\\T_v & 0 & 2T_v \end{matrix} $

whre $\ T_t = 1/30 $ for the frames/sec, $\ T_h $ is for the horizontal sampling and $\ T_v $ is for the vertical sampling. How can I find $\ T_h, \ T_v $ for the inital RGB recording ?

About the second question: The size of the whole video is: $\ size = bitrate \ * \ duration $ and we can compute both from the given data. The compression ratio is: $\ ratio = \frac{Uncompressed}{Compressed} $ where the $\ Uncompressed = size $ in bits. With the specific channel, I can send: $\ 2000000bits/sec $, so for the whole duration of the video ($\ 90*60 = 5400 \ seconds $, I can transmit $\ total = 2000000*5400 \ bits $. Is the compression ratio: $\ r= \frac{size(in bits)}{total} $ ?

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