Conditions for a constrained system to have a set of impulse energy measures

T(s) = — — — , P i r e a l , i = 0 , 1 , 2 , . . . , n 1 s + p n , s n x +pn-2s n 2 + ... + p0 such that the impulse energy measures of T(s) are Y0, Yl5 Y2,..., Yn_i? If the answer is in the affirmative the paper proposes a method to determine p„-1} Pn-i-> •••> PoSeveral results relating to the computation and application of the impulse response, impulse energy measures and quadratic moments of a system have been reported [1], [2], [3], [4], [5]. In this paper the technique used by Baklanov [2] to compute impulse energy measures has been used to advantage. At first sight, it may appear that the form of T(s) indicated above is too constrained, there being no zeros and the feedforward gain being unity, for the solution to have any significant application.