We discussed in class that often times digital signals are not transmitted as just 0/1, but encoded using some modulation technique to improve performance (e.g., support multiple simultaneous transmissions, better resiliency to noise, etc.) a) Assume that we need to transmit raw video frames at 30 frames-per-sec (fps), where each video frame consists of 1024x740 pixels. Assume that each pixel in a frame is represented by 3 bytes of color information - Red, Green and Blue (RGB). Also assume that we use a modulation scheme with 8 bits/signal-levels. If each channel has a bandwidth of 6MHz, thern what will be the number of consecutive channels that you would require? b) We discussed in class that if the number of symbols/signal-levels used for modulating the transmitted data is increased, then the SNR must also be increased to maintain the same channel capacity and/or Bit Error Rate (BER) [more correctly, the Symbol Error Rate or SER] Now, prove that for a given channel bandwidth B, if the number of symbols/signal-levels (say 2n, where n is the number of bits used for encoding) for modulating the transmitted data is doubled then the SNR must be increased by approximately 6dB in order to maintain the same channel capacity/throughput. [10] We discussed in class that often times digital signals are not transmitted as just 0/1, but encoded using some modulation technique to improve performance (e.g., support multiple simultaneous transmissions, better resiliency to noise, etc.) a) Assume that we need to transmit raw video frames at 30 frames-per-sec (fps), where each video frame consists of 1024x740 pixels. Assume that each pixel in a frame is represented by 3 bytes of color information - Red, Green and Blue (RGB). Also assume that we use a modulation scheme with 8 bits/signal-levels. If each channel has a bandwidth of 6MHz, thern what will be the number of consecutive channels that you would require? b) We discussed in class that if the number of symbols/signal-levels used for modulating the transmitted data is increased, then the SNR must also be increased to maintain the same channel capacity and/or Bit Error Rate (BER) [more correctly, the Symbol Error Rate or SER] Now, prove that for a given channel bandwidth B, if the number of symbols/signal-levels (say 2n, where n is the number of bits used for encoding) for modulating the transmitted data is doubled then the SNR must be increased by approximately 6dB in order to maintain the same channel capacity/throughput. [10]