An engineer decided to use rectangular pulse shaping for modulation format 8-PAM (pulse amplitude modulation). The decided transmission symbol rate is 1 G symbols per second. The transmitter power is 8 mW. a. How many basis functions are needed to support this signal space? b. Write out the function expression for the basis function(s). c. Designate the bits to symbol mapping. d. What is the bit rate? What is bit energy? What is symbol energy for the 8 symbols? Draw constellation diagram. e. f. What is the distance between the symbol points in the constellation diagram.