# Consider a random binary wave x (t) in which the

# Consider a random binary wave x (t) in which the

The scheme shown in Figure may be viewed as a differential encoder (consisting of the modulo-2 adder and the 1-unit delay element) connected in cascade with a spec form of correlative coder consisting of the 1-unit delay element and summer). A single delay element is shown in Figure since it is common to both the differential encoder and the correlative coder in this differential encoder, a transition is represented by o and no transition by symbol 1.

(a) Find the frequency response and impulse response of the correlative coder part of the scheme shown in Figure.

(b) Show that this scheme may be used to convert the on-off representation of a binary sequence (applied to the input) into the bipolar representation of the sequence at output. You may illustrate this conversion by considering the sequence 010001101. For descriptions of onâoff, bipolar, and differential encoding of binary sequences, see Section3.7.