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# lecture#1 - BIM 108 Biomedical Signals and Controls Signals...

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1 BIM 108 Biomedical Signals and Controls Jinyi Qi Biomedical Engineering What is about y(t) System H Input signal Output signal • A language for describing signals and systems • An extremely powerful set of tools for analyzing them

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2 Signals • A signal is a variable physical quantity by which a message or information can be represented – A function of one or more independent variables, such as x(t). •Examples: – Voice, blood pressure, temperature, … Systems • A system is a “black box” that transforms an input signal (signals) to an output signal (signals).
3 Objectives • Describe signals – x(t) and y(t) • Characterize system H • Analysis: given a system H and its input x(t), find the resulting output y(t) • Synthesis (design): given an input x(t) and a desired output y(t), design the required system H Tools – Time domain analysis: convolution – Fourier methods: frequency analysis – Laplace transform: transient response and stability

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4 Frequency Analysis of DNA Sequence Blood Flow by Doppler Ultrasound Ultrasound transducer flow Blood vessel
5 Controlled Drug Infusion Prerequisites •MATH : – Differentiation – Integration – Solving ODEs (1st and 2nd order) • Knowledge of RLC circuits Analyze using ODEs and Laplace transform – Analyze using ODEs and Laplace transform • MATLAB – Able to program

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6 Grading – Homework – Projects – Midterm – Final SIGNAL OPERATIONS
7 Signal Operations Continuous signal is represented as 1. Time shift: ) ( t x is a time-shifted version of ) ( t x ) ( 0 t t x

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lecture#1 - BIM 108 Biomedical Signals and Controls Signals...

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