1. Answer the following: True or False (10pts) a. Data is carried over physical mediums by signals. By their very nature signals over physical mediums are digital. True or False b. Natural sources of information such as sound are digital by definition. True or False c. Any periodic signal can be expressed as a sum of sine waves. True or False 2. Sine wave is the fundamental periodic signal and can be represented by three parameters. Name the three parameters that match the following statements. a. Strength of signal typically measured in volts. b. Rate at which the signal repeats c. Relative position in time within a single period of a signal. 3. Shannon equation relates the maximum capacity (transmission bit rate) that can be achieved over a given channel with certain noise characteristics and bandwidth. In other words, Shannon's Theorem gives an upper bound to the capacity of a link, in bits per second (bps) as a function of the available bandwidth and the signal-to-noise ratio of the link. a. What is the equation presented by Shannon for the maximum channel capacity? b. The signal-to-noise ratio (SN)is usually expressed in decibels (dB). Decibels is computed using logarithms so that very large and small ratios result in numbers that are easy to work with. Express a signal-to-noise ratio of 1000 in decibels. c. You would convert decibels to a standard signal-to-noise ratio before applying Shannon equation. True or False 4. A typical telephone line has a signal-to-noise ratio of 30dBand an audio bandwidth of 3kHz. Based on Shannon's theorem, what is the maximum data rate for this telephone line? 5. Nyquist theorem gives the maximum capacity of a noiseless channel. Based on Nyquist, what is the maximum capacity for anoiseless channel with a 3kHz bandwidth and four discrete signal levels