Which of the following pairs of functions are orthogonal as tx ? (a) x, coso,t, x,...

Transcribed Image Text:

Which of the following pairs of functions are orthogonal as tx ? (a) x, coso,t, x, coso,t (c) x, - coso,t, x, cosco,t (b) x, - coso,t, x, sino,t (d) x, = k, x, - u() (e) x, -8(1), x, u(t + t) You should not need to do the integration to answer any of these. The function u(t) is a unit step which is 0 up to t-0 and then becomes 1. The function 6(t) is a delta function which is a tall thin pulse at t-0 which has an area of 1. You may find it helpful to sketch the functions. Which of the following pairs of functions are orthogonal as tx ? (a) x, coso,t, x, coso,t (c) x, - coso,t, x, cosco,t (b) x, - coso,t, x, sino,t (d) x, = k, x, - u() (e) x, -8(1), x, u(t + t) You should not need to do the integration to answer any of these. The function u(t) is a unit step which is 0 up to t-0 and then becomes 1. The function 6(t) is a delta function which is a tall thin pulse at t-0 which has an area of 1. You may find it helpful to sketch the functions.