Consider a random binary wave x (t) in which the 1s and 0s occur with equal probability, the symbols in adjacent time slots are statistically independent, and symbol 1 is represented by A volts and symbol 0 by zero volts. This on—off binary wave is applied to the circuit of Figure.

(a) Using the result of Problem 4.23, show that-the power spectral density of the bipolar wave y (t) appearing at the output of the circuit equals S_x (ƒ) = T_bA² sin² (πƒT_b) sinc² (ƒT_b)

(b) Plot the power spectral densities of the on—off and bipolar binary waves, and compare them.

Transcribed Image Text:

Modulo-2 adder Binary sequence of 1s and 0s Bipolar representation of binary sequence Delay