ncy' and 'bandwidth' different? 10. What is the maximum information transmission capacity of a 2 MHz channel with a SNR of 9? 11. The signal from a space probe arrives with a SNR of 0.001. If the utilised bandwidth is 50 MHz, what is the minimum time required for a picture of 16 Mbits to be transmitted to Earth? 12. The Square Kilometre Array (SKA) (pictured)3 is a globally funded radio telescope system being rolled-out in Australia, New Zealand and South Africa. SKA will have a total collecting area of approximately 1 km2. It consists of a large number of dish antennas spread over a vast geographic area. Several design option were proposed, with one being the following: 3000 dish antennas, each with a gain of 60 dB in the 500 MHz to 10 GHz range. The array design (as in the photograph [12]) enables operators to focus on one section of the sky. The total antenna gain is equivalent to 3000 multiplied by the individual antenna gain. Assume an alien civilisation living on a planet 10 light years away from the Earth uses radars that transmit short duration high-power radio pulses of energy that are radiated into space by an antenna with a gain of 30 dB at a frequency of 10 GHz. Assume that the band- Superscript(3) SKA Project Development Office and Swinburne Astronomy Productions [CC BY-SA 3.0 (https://commons. wikimedia.org/wiki/File%3ASKA_overview.jpg)]. Information Theory width of the pulse is 10 MHz and transmission peak power is 67 dBm. Assume received noise power is -104 dBm. How long does it take for 1 bit of information to be carried over this channel? Speculate what that 1 bit of information may be. References [1] Tekniska Museet. :hhttps://www.flickr.com/photos/tekniskamuseet/6832884236, accessed 20 August 2015. [2] Shannon, C.E. (1948) A mathematical theory of communication. Bell System Technical Journal. [3] Huffman, D. (1952) A method for the construction of minimum-redundancy codes. Proceedings of the IRE, pp. 1098-1101. [4] Ziv, J. and Lempel, A. (1977) A universal algorithm for sequential data compres