Consider a binary communication system. The pulse p(t) and the pulse q(t) are defined by ´A6 + 1, а, + аg, 0sts1, 1 y or < y The impulse response of the LTI filter h(t) is given by Osts1, else. h(t) = {o, Sketch the signals p(t) and q(t). Suppose that "I" is sent. Determine, in terms of No, the probability of а. b. error if y = ag – 2. c. Suppose that you can change the LTI filter and the threshold at the receiver. i. Sketch the impulse response of the optimal filter. Determine the minimax threshold with the optimal filter. Determine the probability of error with the optimal filter and the ii. ii. minimay throehold

Equations and inequalities describe the relationship between two mathematical expressions.

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.