AExE01 · Chapter 1Theory of Computation & Graphics🏛️ Past Licensure QuestionID: 39f9b2fd
The Z-transform is primarily used in engineering for:
The Z-transform is primarily used in engineering for:
Multiple Choice Options
- A
Solving continuous-time differential equations
- B✓ Correct Option
Analyzing discrete-time signals and Linear Time-Invariant (LTI) systems
- C
Modulating analog radio-frequency carriers
- D
Analyzing non-linear static mechanical structures
Detailed Technical Solution & Explanation
The Z-transform is the discrete-time equivalent of the Laplace transform. It converts discrete-time difference equations into algebraic equations in the complex z-domain, making it the central tool for analyzing discrete signals and LTI systems.
Option Analysis:
•
Option A (Solving continuous-time differential ...): Analyzed using Laplace and Fourier transforms.
•
Option B (systems): Correct. Z-transform converts discrete-time difference equations into algebraic equations in the z-domain.
•
Option C (Modulating analog radio-frequency car...): Handled using analog modulation techniques (AM/FM/PM).
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Option D (Analyzing non-linear static mechanica...): Handled via finite element analysis.
Reference: Demo2 · Set 2NEC Licensure Syllabus