BMEN 3010 (BME)
Columbia University
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Noise Analysis and Filtering Techniques in Biomedical Signal Processing
- Class notes • 3 pages • 2025
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Comprehensive study notes covering noise analysis and filtering techniques for biomedical signal processing applications. Includes various noise types (thermal, pink, white, power), noise sources in medical instrumentation, filter design principles, frequency response analysis, and practical filtering solutions for ECG, EMG, and other physiological signals. Covers filter specifications, roll-off characteristics, cutoff frequencies, and noise reduction strategies. Essential reference for biomedic...
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Strain, Stress Analysis, and Static Equilibrium: Mechanics Fundamentals with Biomechanical Applications
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Comprehensive study notes covering strain and stress analysis, material properties, and static equilibrium principles with applications in biomechanics. Includes normal and shear strain calculations, stress-strain relationships, Young's modulus, Poisson's ratio, principal stress analysis, static equilibrium problems, and force analysis. Features practical biomechanical applications including gait analysis, joint force calculations, and orthopedic mechanics. Essential reference for mechanic...
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Fourier Analysis and Digital Sampling Theory: Signal Processing Fundamentals for Biomedical Applications
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Comprehensive study notes covering Fourier analysis, digital sampling theory, and signal processing fundamentals with emphasis on biomedical applications. Includes Fourier series and transforms, discrete Fourier transform (DFT), fast Fourier transform (FFT), Nyquist sampling theorem, aliasing prevention, digital filtering, and quantization effects. Covers practical applications in medical signal processing, ECG analysis, and biomedical instrumentation. Essential reference for biomedical engineer...
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Linear Circuit Analysis: Fundamentals and Applications in Biomedical Engineering
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Comprehensive study notes covering linear circuit analysis principles with focus on biomedical applications. Includes circuit components, Kirchhoff's laws, superposition theorem, Thevenin and Norton equivalents, bridge circuits (Wheatstone, quarter, half, and full bridge configurations), AC analysis, phasor diagrams, and Laplace transforms. Covers practical applications in medical instrumentation, sensor circuits, and biomedical device design. Essential reference for biomedical engineering st...
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Intro to Biomechanics: Vector and Tensor Mathematics
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Comprehensive study notes covering vector and tensor mathematics fundamentals including scalars, vectors, tensors, Einstein summation convention, dot products, cross products, Kronecker delta, Levi-Civita symbol, gradient operators, and coordinate transformations. Covers mathematical notation, orthonormal basis sets, dyadic products, cyclic and anticyclic permutations, divergence and curl operations, and coordinate system rotations. Essential reference for engineering students, physics students,...
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Biomaterials and Material Science
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Comprehensive study notes covering biomaterials fundamentals, material science principles, and biocompatibility considerations for medical device design. Includes biomaterial types (metals, ceramics, polymers, biological materials), structure-function relationships, material properties, biocompatibility factors, and clinical applications. Covers material selection strategies, tissue engineering applications, and the relationship between atomic structure and material properties. Essential referen...
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Biomedical Instrumentation: Sensors, Transducers, and Signal Processing in Medical Devices
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Comprehensive study notes covering biomedical instrumentation fundamentals including sensor types, transducer principles, signal processing, and medical device components. Covers active and passive sensors, sensitivity, resolution, accuracy, precision, linearity, and variable resistive sensors. Includes practical examples with ECG, temperature sensors, thermocouples, and strain gauges. Essential reference for biomedical engineering students, medical device engineers, and healthcare technology pr...
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Electrical Safety in Biomedical Instrumentation
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Comprehensive study notes on electrical safety principles for biomedical instrumentation and medical devices. Covers safety standards, current effects on the human body, macroshock and microshock hazards, physiological responses to electrical current, and protective measures. Essential reference for biomedical engineers, medical device technicians, healthcare professionals, and students studying medical equipment safety and electrical hazards in healthcare environments.
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Laplace Transform Notes for Circuit Analysis - Complete Study Guide
- Class notes • 3 pages • 2025
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Comprehensive notes covering Laplace transform theory and applications for solving differential equations in electrical circuit analysis. These study materials provide step-by-step methodologies for engineering students and professionals working with control systems, signal processing, and circuit design. 
 
What's Covered: 
Fundamental Theory: Laplace transform properties, linearity principles, and stability conditions 
Solution Methodology: Complete walkthrough of ODE solving using transfor...
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