engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Z Transform Inverse Z Transform
Consider a causal and stable LTI system with rational transfer function H(z), whose corresponding impulse response begins at n = 0. Furthermore, \(H\left( 1 \right) = \frac{5}{4}\). The poles of H(z) are \({p_k} = \frac{1}{{\sqrt 2 }}\exp \left( {j\frac{{\left( {2k - 1} \right)}}{4}\pi } \right)\) for k = 1, 2, 3, 4. The zeros of H(z) are all at z = 0. Let g[n] = jnh[n]. The value of g[8] equals __________. (Give the answer up to three decimal places.)
Enter numerical value using the virtual keypad. Round off where necessary.