A sequence x (n) with the z-transform X (z) = Z4 + Z2 – 2z + 2 – 3Z-4 is applied to an input to a linear time invariant system with the impulse response h (n) = 2δ (n-3). The output at n = 4 will be:

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Digital Control Systems topics include: Signal reconstruction, z transform, z-transfer function, equations, z and s domain relationship, stability analysis and compensation techniques. A digital control system (DCS) uses a computer to process signals from sensors and control a system or process. DCSs are a mix of discrete-time and continuous-time behavior. They can be in the form of a microcontroller, ASIC, or standard desktop computer.  DCSs have several advantages over other control systems, including: Improved process control: DCSs use advanced control algorithms, such as PID control,... Show more

A sequence x (n) with the z-transform X (z) = Z<sup>4</sup> + Z<sup>2</sup> – 2z + 2 – 3Z<sup>-4</sup> is applied to an input to a linear time invariant system with the impulse response h (n) = 2δ (n-3). The output at n = 4 will be: