ECE
HKN_ECE_310_Exam_1_Review_Session_SP18.pdf

HKN_ECE_310_Exam_1_Review_Session_SP18.pdf - HKN ECE 310...

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HKN ECE 310 Exam 1 Review Session Corey Snyder Benjamin Eng
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LSIC Systems Linearity Satisfy Homogeneity and Additivity Can be summarized by Superposition If 𝑥 𝑛 → 𝑦 𝑛 and 𝑥 𝑛 → 𝑦 𝑛 , then 𝑎𝑥 𝑛 + 𝑏𝑥 𝑛 → 𝑎𝑦 𝑛 + 𝑏𝑦 [𝑛] Shift Invariance If then and Causality Output cannot depend on future input values
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BIBO Stability Three ways to check for BIBO Stability: Pole-Zero Plot (more on this later) Absolute summability of the impulse response Given then the system is BIBO stable A bounded input yields a bounded output Ex: vs. Absolute Summability ௡ୀିஶ
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Impulse Response ] is the impulse response Convolution in the time/sample domain is multiplication in the transformed domain, both the z-domain and frequency domain.
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Convolution ௠ୀିஶ ௠ୀିஶ System must be: Linear Shift Invariant Popularly done graphically Can also be done algebraically
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Z-Transform
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