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Signal Processing and Analysis



Concepts

Introduction to Digital Signal Processing and Analysis in LabVIEW

Importance of Data Analysis
Sampling Signals
Aliasing
Converting to Logarithmic Units

Signal Generation

Common Test Signals
Frequency Response Measurements
Multitone Generation
Noise Generation
Normalized Frequency
Wave and Pattern VIs

Digital Filtering

Introduction to Filtering
Common Digital Filters
Characteristics of an Ideal Filter
Practical (Nonideal) Filters
Sampling Rate
FIR Filters
IIR Filters
Comparing FIR and IIR Filters
Nonlinear Filters
Selecting a Digital Filter Design

Frequency Analysis

Differences between Frequency Domain and Time Domain
Fourier Transform
Discrete Fourier Transform (DFT)
Frequency Spacing between DFT Samples
FFT Fundamentals
Displaying Frequency Information from Transforms
Two-Sided, DC-Centered FFT
Power Spectrum
Computations on the Spectrum
Computing the Amplitude and Phase Spectrums
Frequency Response Function
Cross Power Spectrum
Frequency Response and Network Analysis
Windowing
Common Measurement Averaging Modes
Echo Detection

Smoothing Windows

Spectral Leakage
Windowing Signals
Characteristics of Different Smoothing Windows
Windows for Spectral Analysis versus Windows for Coefficient Design
Choosing the Correct Smoothing Window
Scaling Smoothing Windows

Distortion Measurements

Defining Distortion
Harmonic Distortion

DC/RMS Measurements

DC Level of a Signal
RMS Level of a Signal
Averaging to Improve the Measurement
Common Error Sources Affecting DC and RMS Measurements
Rules for Improving DC and RMS Measurements

Limit Testing

Setting Up an Automated Test System
Applications of Limit Testing

Curve Fitting

Introduction to Curve Fitting
General LS Linear Fit Theory
Polynomial Fit with a Single Predictor Variable
Curve Fitting in LabVIEW

Probability and Statistics

Statistics
Probability

Linear Algebra

Linear Systems and Matrix Analysis
Basic Matrix Operations and Eigenvalues-Eigenvector Problems
Matrix Inverse and Solving Systems of Linear Equations
Matrix Factorization

Optimization

Introduction to Optimization
Linear Programming
Nonlinear Programming

Polynomials

General Form of a Polynomial
Basic Polynomial Operations
Rational Polynomial Function Operations
Orthogonal Polynomials
Evaluating a Polynomial with a Matrix
Entering Polynomials in LabVIEW

Point-By-Point Analysis

Introduction to Point-By-Point Analysis
Using the Point By Point VIs
Frequently Asked Questions about Point-by-Point Analysis
Case Study of Point-By-Point Analysis

Solving Ordinary Differential Equations

ODE Solver Accuracy and Order
Variable Step-Size ODE Solvers versus Fixed Step-Size ODE Solvers
Single-Step ODE Solvers versus Multi-Step ODE Solvers
Stiff Problems
ODE Solvers in LabVIEW