Signal Processing Toolbox. User's Guide

• Publisher: MathWorks
• Year: 2023
• Tongue: English
• Leaves: 1670
• Category: Library

✦ Table of Contents

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
Group Delay and Phase 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
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
Cepstrum Analysis
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
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
Change Signal Sample Rate
Resampling
resample Function
decimate and interp Functions
upfirdn Function
spline Function
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
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
Time-Frequency Analysis
FFT-Based Time-Frequency Analysis
Spectrogram Computation with Signal Processing Toolbox
Functions for Spectrogram Computation
STFT and Spectrogram Definitions
Compare spectrogram Function and STFT Definition
Compare spectrogram and stft Functions
Compare spectrogram and pspectrum Functions
Compute Centered and One-Sided Spectrograms
Compute Segment PSDs and Power Spectra
Cross-Spectrogram of Complex Signals
Time-Frequency Gallery
Time-Frequency Gallery
Short-Time Fourier Transform (Spectrogram)
Continuous Wavelet Transform (Scalogram)
Wigner-Ville Distribution
Reassignment and Synchrosqueezing
Constant-Q Gabor Transform
Data-Adaptive Methods and Multiresolution Analysis
Signal Data Set Management
Manage Data Sets for Machine Learning and Deep Learning Workflows
Common AI Tasks
Data Organization
Data Preprocessing
Workflow Scenarios
Available Data Sets
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 with the Fourier Synchrosqueezed Transform
Instantaneous Frequency of Complex Chirp
Single-Sideband Amplitude Modulation
DCT for Speech Signal Compression
Signal Measurement
RMS Value of Periodic Waveforms
Slew Rate of Triangular Waveform
Duty Cycle of Rectangular Pulse Waveform
Radar Pulse Compression
Estimate State for Digital Clock
Distortion Measurements
Prominence
Determine Peak Widths
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
Delete, Duplicate, and Rename Signals
Next Step
Preprocess Signals
Display
Delete, Duplicate, and Rename Signals
Preprocessing Functions
Preprocessing Actions
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
Extract Signal Regions of Interest
Previous Step
Next Step
Measure Signals
Use Cursors to Measure Signal Data
Calculate Signal Statistics
Find and Annotate Signal Peaks
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
Resolve Tones by Varying Window Leakage
Resolve Tones by Varying Window Leakage
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
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
Denoise Noisy Doppler Signal
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
Simulation Data Inspector
View Data in the Simulation Data Inspector
View Logged Data
Import Data from the Workspace or a File
View Complex Data
View String Data
View Frame-Based Data
View Event-Based Data
Import Data from a CSV File into the Simulation Data Inspector
Basic File Format
Multiple Time Vectors
Signal Metadata
Import Data from a CSV File
Microsoft Excel Import, Export, and Logging Format
Basic File Format
Multiple Time Vectors
Signal Metadata
User-Defined Data Types
Complex, Multidimensional, and Bus Signals
Function-Call Signals
Simulation Parameters
Multiple Runs
Configure the Simulation Data Inspector
Logged Data Size and Location
Archive Behavior and Run Limit
Incoming Run Names and Location
Signal Metadata to Display
Signal Selection on the Inspect Pane
How Signals Are Aligned for Comparison
Colors Used to Display Comparison Results
Signal Grouping
Data to Stream from Parallel Simulations
Options for Saving and Loading Session Files
Signal Display Units
How the Simulation Data Inspector Compares Data
Signal Alignment
Synchronization
Interpolation
Tolerance Specification
Limitations
Save and Share Simulation Data Inspector Data and Views
Save and Load Simulation Data Inspector Sessions
Share Simulation Data Inspector Views
Share Simulation Data Inspector Plots
Create Simulation Data Inspector Report
Export Data to the Workspace or a File
Export Video Signal to an MP4 File
Inspect and Compare Data Programmatically
Create a Run and View the Data
Compare Two Signals in the Same Run
Compare Runs with Global Tolerance
Analyze Simulation Data Using Signal Tolerances
Limit the Size of Logged Data
Limit the Number of Runs Retained in the Simulation Data Inspector Archive
Specify a Minimum Disk Space Requirement or Maximum Size for Logged Data
View Data Only During Simulation
Reduce the Number of Data Points Logged from Simulation
Signal Labeler
Using Signal Labeler App
App Workflow
Example: Label Points and Regions of Interest in Signal
Import Data into Signal Labeler
Supported Signal Types
Choose a Color Scheme
Specify Time Information
Import Signals from the MATLAB Workspace
Import Signals from Files
Import and Play Audio File Data in Signal Labeler
Supported Audio File Extensions
Time Information
Import Audio Signals from Files or Folder
Import labeledSignalSet from MATLAB Workspace
Play Audio Signals and Regions of Interest
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
Track and Save Labeling Progress
Label Signals Manually
Interactive Member by Member Labeling
Label Signals Automatically
Label Signal Peaks Automatically Using Peak Labeler
Label Speech Regions in Audio Signals Automatically Using Speech Detector or Speech to Text
Custom Labeling Functions
Create Custom Labeling Functions
Add Custom Labeling Functions to the Gallery
Manage Custom Labeling Functions in Gallery
Customize Labeling View
Visualize Signal Spectra and Spectrograms
Use Spectrogram to Aid Labeling
Feature Extraction Using Signal Labeler
Extract Signal Features
Export Features
Save Features as Labels
Dashboard
View Labeling Progress
Inspect Label Distributions
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
Automate Signal Labeling with Custom Functions
Label Spoken Words in Audio Signals
Label ECG Signals and Track Progress
Choose an App to Label Ground Truth Data
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
Featured Examples
Signal Generation and Visualization
Signal Smoothing
Reconstructing Missing Data
Resampling Uniformly Sampled Signals
Resampling Nonuniformly Sampled Signals
Peak Analysis
Measure Signal Similarities
Measurement of Pulse and Transition Characteristics
Analyzing Harmonic Distortion
Spurious-Free Dynamic Range (SFDR) Measurement
Extracting Classification Features from Physiological Signals
Detecting Outbreaks and Significant Changes in Signals
Finding a Signal in Data
Filter Design Gallery
Practical Introduction to Digital Filter Design
Practical Introduction to Digital Filtering
Introduction to Filter Designer
Filter Analysis Using FVTool
FIR Gaussian Pulse-Shaping Filter Design
Generating Guitar Chords Using the Karplus-Strong Algorithm
DFT Estimation with the Goertzel Algorithm
Discrete Walsh-Hadamard Transform
Single Sideband Modulation via the Hilbert Transform
Practical Introduction to Frequency-Domain Analysis
Practical Introduction to Time-Frequency Analysis
Measure Power of Deterministic Periodic Signals
Spectral Analysis of Nonuniformly Sampled Signals
Linear Prediction and Autoregressive Modeling
Classify ECG Signals Using Long Short-Term Memory Networks
Classify ECG Signals Using Long Short-Term Memory Networks with GPU Acceleration
Waveform Segmentation Using Deep Learning
Deploy Signal Segmentation Deep Network on Raspberry Pi
Create Labeled Signal Sets Iteratively with Reduced Human Effort
Generate Synthetic Signals Using Conditional GAN
Spoken Digit Recognition with Custom Log Spectrogram Layer and Deep Learning
Signal Recovery with Differentiable Scalograms and Spectrograms
Train Spoken Digit Recognition Network Using Out-of-Memory Features
Classify Time Series Using Wavelet Analysis and Deep Learning
Denoise Speech Using Deep Learning Networks
Order Analysis of a Vibration Signal
Vibration Analysis of Rotating Machinery
Modal Analysis of a Simulated System and a Wind Turbine Blade
Practical Introduction to Fatigue Analysis Using Rainflow Counting
Accelerating Correlation with GPUs
Learn Pre-Emphasis Filter Using Deep Learning
Denoise EEG Signals Using Deep Learning Regression with GPU Acceleration
Hand Gesture Classification Using Radar Signals and Deep Learning
Human Activity Recognition Using Signal Feature Extraction and Machine Learning
Anomaly Detection Using Autoencoder and Wavelets
Denoise Signals with Adversarial Learning Denoiser Model
Signal Source Separation Using W-Net Architecture
Human Health Monitoring Using Continuous Wave Radar and Deep Learning
Classify Arm Motions Using EMG Signals and Deep Learning
Detect Anomalies In Signals Using deepSignalAnomalyDetector
Detect Anomalies in Machinery Using LSTM Autoencoder
View, Preprocess, and Write EDF File
Generate Optimized Code on Raspberry Pi Target
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