Question
Download Solution PDFNumber of state variables of discrete-time system, described by
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Number of state variables = order of the system
= number of independent energy storage elements
= number of poles of the system.
Analysis:
Taking Z transform we get:
Y(Z) - 0.75 Z-1 Y(Z) + 0.125 Z-2 Y(Z) = X(Z)
Y(Z) [ 1 - 0.75 Z-1 + 0.125 Z-2 ] = X(Z)
The number of poles = 2
Hence, number of state variables = 2
Last updated on Jul 2, 2025
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