MATLAB Signal Processing Toolbox™ User's Guide

Description

Filtering, Linear Systems and Transforms Overview Filter Implementation Convolution and Filtering Filters and Transfer Functions Filtering with the filter Function The filter Function Multirate Filter Bank Implementation Frequency Domain Filter Implementation Anti-Causal, Zero-Phase Filter Implementation Impulse Response Frequency Response Digital Domain Analog Domain Phase Response Delay Zero-Pole Analysis Discrete-Time System Models Transfer Function Zero-Pole-Gain State Space Partial Fraction Expansion (Residue Form) Second-Order Sections (SOS) Lattice Structure Convolution Matrix Continuous-Time System Models Linear System Transformations Discrete Fourier Transform Filter Design and Implementation Filter Requirements and Specification IIR Filter Design IIR vs. FIR Filters Classical IIR Filters Other IIR Filters IIR Filter Method Summary Classical IIR Filter Design Using Analog Prototyping Comparison of Classical IIR Filter Types FIR Filter Design FIR vs. IIR Filters FIR Filter Summary Linear Phase Filters Windowing Method Multiband FIR Filter Design with Transition Bands Constrained Least Squares FIR Filter Design Arbitrary-Response Filter Design Special Topics in IIR Filter Design Classic IIR Filter Design Analog Prototype Design Frequency Transformation Filter Discretization Filtering Data With Signal Processing Toolbox Software Selected Bibliography Designing a Filter in fdesign — Process Overview Process Flow Diagram and Filter Design Methodology Exploring the Process Flow Diagram Selecting a Response Selecting a Specification Selecting an Algorithm Customizing the Algorithm Designing the Filter Design Analysis Realize or Apply the Filter to Input Data Designing a Filter in the Filter Builder GUI Filter Builder Design Process Introduction to Filter Builder Design a Filter Using Filter Builder Select a Response Select a Specification Select an Algorithm Customize the Algorithm Analyze the Design Realize or Apply the Filter to Input Data Designing a FIR Filter Using filterBuilder FIR Filter Design Compensate for Delay and Distortion Introduced by Filters Comparison of Analog IIR Lowpass Filters Frequency Response of Lowpass Bessel Filter Speaker Crossover Filters Filter Designer: A Filter Design and Analysis App Filter Design Methods Advanced Filter Design Methods Using the Filter Designer App Analyzing Filter Responses Filter Designer App Panels Getting Help Getting Started with Filter Designer Choosing a Response Type Choosing a Filter Design Method Setting the Filter Design Specifications Computing the Filter Coefficients Analyzing the Filter Editing the Filter Using the Pole-Zero Editor Converting the Filter Structure Exporting a Filter Design Generating a C Header File Generating MATLAB Code Managing Filters in the Current Session Saving and Opening Filter Design Sessions Importing a Filter Design Import Filter Panel Filter Structures FIR Bandpass Filter with Asymmetric Attenuation Arbitrary Magnitude Filter Filter Visualization Tool Modifying the Axes Modifying the Plot Controlling FVTool from the MATLAB Command Line Statistical Signal Processing Correlation and Covariance Background Information Using xcorr and xcov Functions Bias and Normalization Multiple Channels Spectral Analysis Background Information Spectral Estimation Method Nonparametric Methods Periodogram Performance of the Periodogram The Modified Periodogram Welch's Method Bias and Normalization in Welch's Method Multitaper Method Cross-Spectral Density Function Transfer Function Estimate Coherence Function Parametric Methods Yule-Walker AR Method Burg Method Covariance and Modified Covariance Methods MUSIC and Eigenvector Analysis Methods Eigenanalysis Overview Frequency Estimator Functions Selected Bibliography Special Topics Windows Why Use Windows? Available Window Functions Graphical User Interface Tools Basic Shapes Get Started with Window Designer Window Parameters Window Designer Menus Generalized Cosine Windows Kaiser Window Kaiser Windows in FIR Design Chebyshev Window Parametric Modeling What is Parametric Modeling Available Parametric Modeling Functions Time-Domain Based Modeling Frequency-Domain Based Modeling Resampling resample Function decimate and interp Functions upfirdn Function spline Function Cepstrum Analysis FFT-Based Time-Frequency Analysis Cross-Spectrogram of Complex Signals Find Interference Using Persistence Spectrum Find and Track Ridges Using Reassigned Spectrogram Extract Regions of Interest from Whale Song Median Filtering Communications Applications Modulation Demodulation Voltage Controlled Oscillator Deconvolution Chirp Z-Transform Discrete Cosine Transform Hilbert Transform Walsh-Hadamard Transform Walsh-Hadamard Transform for Spectral Analysis and Compression of ECG Signals Eliminate Outliers Using Hampel Identifier Selected Bibliography SPTool: A Signal Processing GUI Suite SPTool: An Interactive Signal Processing Environment SPTool Overview SPTool Data Structures Opening SPTool Getting Context-Sensitive Help Signal Browser Overview of the Signal Browser Opening the Signal Browser Filter Visualization Tool Connection between FVTool and SPTool Opening the Filter Visualization Tool Analysis Parameters Spectrum Viewer Spectrum Viewer Overview Opening the Spectrum Viewer Filtering and Analysis of Noise Overview Importing a Signal into SPTool Designing a Filter Applying a Filter to a Signal Analyzing a Signal Spectral Analysis in the Spectrum Viewer Exporting Signals, Filters, and Spectra Opening the Export Dialog Box Exporting a Filter to the MATLAB Workspace Accessing Filter Parameters Accessing Filter Parameters in a Saved Filter Accessing Parameters in a Saved Spectrum Importing Filters and Spectra Similarities to Other Procedures Importing Filters Importing Spectra Loading Variables from the Disk Saving and Loading Sessions SPTool Sessions Filter Formats Selecting Signals, Filters, and Spectra Editing Signals, Filters, or Spectra Making Signal Measurements with Markers Setting Preferences Overview of Setting Preferences Summary of Settable Preferences Code Generation from MATLAB Support in Signal Processing Toolbox List of Signal Processing Toolbox Functions that Support Code Generation Specifying Inputs in Code Generation from MATLAB Defining Input Size and Type Inputs must be Constants Apply Lowpass Filter to Input Signal Zero-Phase Filtering Compute Modified Periodogram Using Generated C Code Convolution and Correlation Linear and Circular Convolution Confidence Intervals for Sample Autocorrelation Residual Analysis with Autocorrelation Autocorrelation of Moving Average Process Cross-Correlation of Two Moving Average Processes Cross-Correlation of Delayed Signal in Noise Cross-Correlation of Phase-Lagged Sine Wave Multirate Signal Processing Downsampling — Signal Phases Downsampling — Aliasing Filtering Before Downsampling Upsampling — Imaging Artifacts Filtering After Upsampling — Interpolation Simulate a Sample-and-Hold System Changing Signal Sample Rate Spectral Analysis Power Spectral Density Estimates Using FFT Bias and Variability in the Periodogram Cross Spectrum and Magnitude-Squared Coherence Amplitude Estimation and Zero Padding Significance Testing for Periodic Component Frequency Estimation by Subspace Methods Frequency-Domain Linear Regression Measure Total Harmonic Distortion Measure Mean Frequency, Power, Bandwidth Periodogram of Data Set with Missing Samples Welch Spectrum Estimates Time-Frequency Analysis Time-Frequency Gallery Short-Time Fourier Transform (Spectrogram) Continuous Wavelet Transform (Scalogram) Wigner-Ville Distribution Reassignment and Synchrosqueezing Constant-Q Gabor Transform Empirical Mode Decomposition and Hilbert-Huang Transform Linear Prediction Prediction Polynomial Formant Estimation with LPC Coefficients AR Order Selection with Partial Autocorrelation Sequence Transforms Complex Cepstrum — Fundamental Frequency Estimation Analytic Signal for Cosine Envelope Extraction Analytic Signal and Hilbert Transform Hilbert Transform and Instantaneous Frequency Detect Closely Spaced Sinusoids Instantaneous Frequency of Complex Chirp Single-Sideband Amplitude Modulation DCT for Speech Signal Compression Signal Generation Display Time-Domain Data in Signal Browser Import and Display Signals Configure the Signal Browser Properties Modify the Signal Browser Display Inspect Your Data (Scaling the Axes and Zooming) Signal Measurement RMS Value of Periodic Waveforms Slew Rate of Triangular Waveform Duty Cycle of Rectangular Pulse Waveform Estimate State for Digital Clock Calculate Settling Time with Signal Browser Find Peak Amplitudes in Signal Browser Distortion Measurements Prominence Determine Peak Widths Spectrum Object to Function Replacement Nonparametric Spectrum Object to Function Replacement Periodogram PSD Object to Function Replacement Syntax Periodogram MSSPECTRUM Object to Function Replacement Syntax Welch PSD Object to Function Replacement Syntax Welch MSSPECTRUM Object to Function Replacement Syntax Multitaper PSD Object to Function Replacement Syntax Autoregressive PSD Object to Function Replacement Syntax Subspace Pseudospectrum Object to Function Replacement Syntax Vibration Analysis Modal Parameters of MIMO System Compute and Display Order-RPM Map MIMO Stabilization Diagram Modal Analysis of Identified Models Signal Analyzer App Using Signal Analyzer App App Workflow Example: Extract Regions of Interest from Whale Song Select Signals to Analyze Select Signals from the Workspace Browser Filter Signals in the Signal Table Next Step Preprocess Signals Duplicate and Rename Signals Filter Signals Smooth Signals Resample Signals Detrend Signals Compute Signal Envelopes Add Custom Preprocessing Functions Previous Step Next Step Explore Signals Plot Signals View Signals on Multiple Plots Move Signals Between Displays Visualize Signal Spectra Visualize Persistence Spectra Visualize Signal Spectrograms Visualize Signal Scalograms Zoom and Pan Through Signals Edit Time Information and Link Displays in Time Measure Signal, Spectrum, and Time-Frequency Data Extract Signal Regions of Interest Previous Step Next Step Share Analysis Copy Displays Export Signals Generate MATLAB Scripts and Functions Save and Load Signal Analyzer Sessions Previous Step Find Delay Between Correlated Signals Plot Signals from the Command Line Resolve Tones by Varying Window Leakage Resolve Tones by Varying Window Leakage Analyze Signals with Inherent Time Information Spectrogram View of Dial Tone Signal Find Interference Using Persistence Spectrum Extract Regions of Interest from Whale Song Modulation and Demodulation Using Complex Envelope Find and Track Ridges Using Reassigned Spectrogram Scalogram of Hyperbolic Chirp Extract Voices from Music Signal Resample and Filter a Nonuniformly Sampled Signal Declip Saturated Signals Using Your Own Function Compute Envelope Spectrum of Vibration Signal Boundary Effects and the Cone of Influence Edit Sample Rate and Other Time Information Data Types Supported by Signal Analyzer Numeric Data MATLAB Timetables timeseries Objects Nonuniformly Sampled Signals Labeled Signal Sets Spectrum Computation in Signal Analyzer Spectral Windowing Parameter and Algorithm Selection Zooming Persistence Spectrum in Signal Analyzer Spectrogram Computation in Signal Analyzer Divide Signal into Segments Window the Segments and Compute Spectra Display Spectrum Power Scalogram Computation in Signal Analyzer Divide the Signal into Segments Compute the Continuous Wavelet Transform Display the Scalogram Keyboard Shortcuts for Signal Analyzer General Actions Multichannel Signals Zooming Data Cursors Signal Analyzer Tips and Limitations Select Signals to Analyze Preprocess Signals Explore Signals Share or Reuse Analysis Troubleshooting Customize Signal Analyzer Specify Line Color and Style Add or Remove Columns in the Signal Table Modify Signal Analyzer Displays Signal Analyzer Preferences Signal Labeler Using Signal Labeler App App Workflow Example: Label Points and Regions of Interest in Signal Import Data into Signal Labeler Specify Time Information Import Signals from the MATLAB Workspace Create or Import Signal Label Definitions Import Signal Label Definitions Create Label Definitions Create Sublabel Definitions Edit Label or Sublabel Definitions Delete Label or Sublabel Definitions Label Signals Interactively or Automatically Label Signals Manually Label Signals Automatically Label Signal Peaks Automatically Using Peak Labeler Custom Labeling Functions Create Custom Labeling Functions Add Custom Labeling Functions to the Gallery Manage Custom Labeling Functions in the Gallery Export Labeled Signal Sets and Signal Label Definitions Export Label Definitions Export Labeled Signal Sets Signal Labeler Usage Tips Keyboard Shortcuts Troubleshooting Label Signal Attributes, Regions of Interest, and Points Examine Labeled Signal Set Label QRS Complexes and R Peaks of ECG Signals Using Deep Network Label Spoken Words in Audio Signals Using External API Common Applications Create Uniform and Nonuniform Time Vectors Remove Trends from Data Remove the 60 Hz Hum from a Signal Remove Spikes from a Signal Process a Signal with Missing Samples Reconstruct a Signal from Irregularly Sampled Data Align Signals with Different Start Times Align Signals Using Cross-Correlation Align Two Simple Signals Find Peaks in Data Find a Signal in a Measurement Find Periodicity Using Autocorrelation Extract Features of a Clock Signal Find Periodicity in a Categorical Time Series Compensate for the Delay Introduced by an FIR Filter Compensate for the Delay Introduced by an IIR Filter Take Derivatives of a Signal Find Periodicity Using Frequency Analysis Detect a Distorted Signal in Noise Measure the Power of a Signal Compare the Frequency Content of Two Signals Detect Periodicity in a Signal with Missing Samples Echo Cancelation Cross-Correlation with Multichannel Input Autocorrelation Function of Exponential Sequence Cross-Correlation of Two Exponential Sequences