The Mariner 4 flyby of Mars in 1965 transmitted black and white pictures (monochrome) to earth at a rate of bits per second (bps). A picture took 8 hours to be received. Each picture is made up of Mx Npixels, and each pixel is represented by 8 bits which defines the grey level of each pixel from 00000000 (black) to 11111111 (white). () How many bits make up one picture? Now what would that be in kbits (remember that for storage 1 kbit- 1024 bits but I kbps = 1000 bps for transmission)? Give your answer to three decimal places. (ii) Explain why each picture requires 30,000 pixels- assume 8 bits per pixel (bpp). How many gray levels per pixel? (ii) If 200 pixels is the height, what is the width of the picture? iv) Assume that Mariner 4 were able to send a colour picture (same dimensions) at the same bitrate. How long would it take to receive at earth? (Assume the same dimensions as the black and white picture and that a colour picture requires effectively three pixel values per B&W pixel (R,G and B)). What is the size (in bits) of the colour image? Ifa half-rate error correcting channel code were used for this colour image in (iv), how long would it now take to be received, if we continued to transmit at 8 (v) bits per second? (A half-rate emor correcting channel code means that for every packet of K image bits transmitted, we must also send and additional K error correction bits). A few years later (as technology improved) the transmission rate increased above the original 83 bits per second. So if the colour picture in (v) can now transmitted back to earth in just 1 hour and 20 mins (including the correcting codes), calculate the wireless channel bandwidth required. (Assume that every 2 bps transmitted needs 2.5 of bandwidth-that is 4bps would need 5 bandwidth, 200 bps would need 250 Hz bandwidth, etc.) (vi)