Problem 2. Consider the LTI system defined as y[n] = 0.5y[n–1]+2x[n]+ x[n–1] Q1. Is the system stable? Causal? Q2. Determine the output signal y[n] when then the input is x[n] = u[-n]with u[n] the unit step sequence. (Recall: write the input sequence as the sum of a causal plus an anticausal sequence)

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A: Linear Feedback Shift Register (LFSR):

Sample and Hold circuit

The sampling circuit and the holding circuit generate electrical samples as input and then hold these samples for a specified period. The time at which the sample and circuit holder produces the input signal sample is called the sampling time. Correspondingly, the length of the circuit that holds the sampled value is called the holding time.