Consider that the signal-to-noise ratio of a received signal not employing spread spectrum is En = 10 dB. If the signal is spread using a chip rate f = 10%, calculate the ratio of the peak power spectral density of the spread signal G,(0) to the power spectral density of thermal noise, n/2. A received spread spectrum signal is embedded in noise v(t) = 2P, d(t)g(t) cos wat + n(t) where the bit rate f = 20 kb/s and the chip rate fe = 2 Mb/s. The ratio of the power spectral density of the signal to the noise is 10-. (a) Calculate n/2 in terms of P (b) A receiver set at fo has a 4 MHz bandwidth. The receiver is followed by a square low amplifier and a low pass filter of bandwidth Bo= 100 kHz. (1) Calculate the signal-to-noise ratio of the filter output. (2) Calculate the probability of detecting the presence of the DS signal.