The average noise power per unit bandwidth measured at the front end of an AM receiver is 10^(-3) watt per Hertz. The modulating wave is sinusoidal, with a carrier power of 80 kilowatts, and a sideband power of 10 kilowatts per sideband. The message bandwidth is 4 kHz. Assuming the use of an envelope detector in the receiver, determine the output signal-to- noise ratio of the system. By how many decibels is this system inferior to a DSB- SC modulation system?