Wolfram信号处理Wolfram 语言
的核心内容

信号处理与分析。

全面的信号处理功能，与强大的微积分、统计学和机器学习紧密结合，适用于工程、金融、医学等领域的学生和专业人士。

开始使用

丰富的数据访问方式

通过导入标准文件格式（CSV、EDF、MP3 等）访问技术、医疗、金融等领域的数据；通过连接设备（如麦克风等）读取数据；通过数据源获取数据（如股票价格、汇率等）。

频谱与时频分析

执行时域和频谱分析与可视化。使用包括卷积、傅里叶变换、余弦变换和小波变换在内的各种技术，提取信号测量值和更高级别的特征，以进行分类、识别等。

滤波与滤波器设计

对信号进行滤波以实现增强、频率选择、变化检测等功能。立即使用大量高度优化的滤波器。设计和使用自定义的 FIR、IIR 和模拟滤波器（巴特沃斯、切比雪夫、椭圆滤波器等）。

滤波器部署

自动生成滤波器并将其部署到 Arduino 等微控制器，以快速构建实际信号处理系统的原型。将滤波器以功能模型单元 (FMU) 的形式与 100 多种其他 FMI 兼容工具进行交换。

用于信号处理的机器学习

使用高度优化的机器学习和神经网络完成信号分类、异常检测和语音识别等任务。立即使用各种预训练模型或构建自己的模型。

音频与语音信号处理

分析和处理语音、音乐或其他音频信号。使用经典信号处理或现代机器学习执行事件检测、识别、分类和辨识。

时间序列信号处理

计算描述性统计数据、应用滤波器并可视化时间序列数据以提取信息或进行预测。处理来自任何领域的数据，包括计量经济学、金融、气象学、生理学等。

时间序列处理指南

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Wolfram 信号处理的相关参考资料

Wolfram 信号处理是 Wolfram 语言的一个组成部分。整个系统包含了六千多个内置函数，涵盖了计算领域的方方面面，所有内容被精心集成在一起，相互支持，完美地结合为一个整体。

ListConvolve ▪ ListDeconvolve ▪ RecurrenceFilter ▪ LowpassFilter ▪ HighpassFilter ▪ BandpassFilter ▪ BandstopFilter ▪ DifferentiatorFilter ▪ HilbertFilter ▪ Fourier ▪ FourierSeries ▪ FourierTransform ▪ FourierSequenceTransform ▪ ShortTimeFourierTransform ▪ LaplaceTransform ▪ ZTransform ▪ ListZTransform ▪ Spectrogram ▪ Periodogram ▪ Cepstrogram ▪ ButterworthFilterModel ▪ EllipticFilterModel ▪ KaiserWindow ▪ HammingWindow ▪ BlackmanWindow ▪ Sum ▪ DSolve ▪ RSolve ▪ TransferFunctionModel ▪ TransferFunctionPoles ▪ BodePlot ▪ MAProcess ▪ ARMAProcess ▪ SARIMAProcess ▪ ARIMAProcess ▪ SARMAProcess ▪ FARIMAProcess ▪ ARCHProcess ▪ GARCHProcess ▪ RandomFunction ▪ EstimatedProcess ▪ KalmanFilter ▪ FindProcessParameters ▪ AdjustTimeSeriesForecast ▪ CovarianceFunction ▪ CorrelationFunction ▪ AbsoluteCorrelationFunction ▪ PartialCorrelationFunction ▪ WeakStationarity ▪ TimeSeriesInvertibility ▪ ToInvertibleTimeSeries ▪ UnitRootTest ▪ AutocorrelationTest ▪ WebAudioSearch ▪ AudioCapture ▪ SpeechSynthesize ▪ AudioAmplify ▪ AudioTrim ▪ AudioJoin ▪ TotalVariationFilter ▪ Median ▪ Quantile ▪ AudioInstanceQ ▪ Nearest ▪ NetEncoder ▪ NetChain ▪ NetGraph ▪ SpeechCases ▪ SpeechInterpreter ▪ Plot ▪ EvaluationMonitor ▪ Exclusions ▪ ExclusionsStyle ▪ FeedbackType ▪ Filling ▪ FillingStyle ▪ LabelingSize ▪ MaxRecursion ▪ MeshFunctions ▪ MeshShading ▪ PhaseRange ▪ PlotHighlighting ▪ PlotLabels ▪ PlotLayout ▪ PlotPoints ▪ PlotStyle ▪ RegionFunction ▪ StabilityMargins ▪ StabilityMarginsStyle ▪ MachinePrecision ▪ NyquistPlot ▪ NicholsPlot ▪ SingularValuePlot ▪ GainPhaseMargins ▪ AbsArgPlot ▪ Eigenvalues ▪ StateFeedbackGains ▪ SystemsModelDelay ▪ SamplingPeriod ▪ SystemsModelLabels ▪ ExternalTypeSignature ▪ TransferFunctionFactor ▪ TransferFunctionCancel ▪ Unevaluated ▪ ToContinuousTimeModel ▪ Function ▪ AffineStateSpaceModel ▪ NonlinearStateSpaceModel ▪ CreateSystemModel ▪ Module ▪ Sin ▪ ARProcess ▪ RSolveValue ▪ AsymptoticRSolveValue ▪ RFixedPoints ▪ RStabilityConditions ▪ DifferenceRoot ▪ FindSequenceFunction ▪ FindGeneratingFunction ▪ FindLinearRecurrence ▪ Derivative ▪ DirichletCondition ▪ Vectors ▪ Matrices ▪ RegionQ ▪ ParametricNDSolve ▪ DiscreteVariables ▪ WeierstrassP ▪ Erf ▪ C ▪ IncludeSingularSolutions ▪ ParametricPlot ▪ Inactive ▪ FinancialDerivative ▪ Activate ▪ NDSolve ▪ AsymptoticDSolveValue ▪ WhenEvent ▪ DEigensystem ▪ DEigenvalues ▪ DFixedPoints ▪ DStabilityConditions ▪ NDEigensystem ▪ NDEigenvalues ▪ GreenFunction ▪ CompleteIntegral ▪ Solve ▪ DifferentialRoot ▪ StreamPlot ▪ ItoProcess ▪ SystemModelSimulate ▪ TruncateSum ▪ Block ▪ Infinity ▪ GeneratedParameters ▪ StandardForm ▪ Parallelize ▪ Refine ▪ Fibonacci ▪ LucasL ▪ ArcTan ▪ ArcCot ▪ QPolyGamma ▪ LerchPhi ▪ HypergeometricPFQ ▪ PolyGamma ▪ Zeta ▪ HarmonicNumber ▪ GammaRegularized ▪ BetaRegularized ▪ ChebyshevU ▪ ChebyshevT ▪ StirlingS1 ▪ StirlingS2 ▪ Binomial ▪ CatalanNumber ▪ DifferenceDelta ▪ SeriesCoefficient ▪ PrimeQ ▪ Primes ▪ EllipticTheta ▪ Total ▪ Product ▪ NSum ▪ AsymptoticSum ▪ SumConvergence ▪ CDF ▪ RootSum ▪ DivisorSum ▪ ParallelSum ▪ ArrayReduce ▪ Table ▪ ExactBlackmanWindow ▪ BlackmanHarrisWindow ▪ BlackmanNuttallWindow ▪ PowerSpectralDensity ▪ Array ▪ TukeyWindow ▪ BartlettWindow ▪ HannWindow ▪ Arg ▪ Video ▪ Graphics ▪ PaddingSize ▪ Tiny ▪ Small ▪ Medium ▪ Large ▪ Full ▪ ScalingFunctions ▪ ArrayPlot ▪ AlignmentPoint ▪ Center ▪ AspectRatio ▪ Axes ▪ AxesLabel ▪ AxesOrigin ▪ AxesStyle ▪ Background ▪ BaselinePosition ▪ BaseStyle ▪ ClippingStyle ▪ ColorFunctionScaling ▪ ColorFunction ▪ ColorRules ▪ ContentSelectable ▪ CoordinatesToolOptions ▪ DataRange ▪ DataReversed ▪ Epilog ▪ FormatType ▪ Frame ▪ FrameLabel ▪ FrameStyle ▪ FrameTicks ▪ FrameTicksStyle ▪ GridLines ▪ GridLinesStyle ▪ ImageMargins ▪ ImagePadding ▪ ImageSize ▪ LabelStyle ▪ MaxPlotPoints ▪ Mesh ▪ MeshStyle ▪ GrayLevel ▪ GoldenRatio ▪ PlotLabel ▪ PlotLegends ▪ PlotRangeClipping ▪ PlotRangePadding ▪ PlotRegion ▪ PlotTheme ▪ $PlotTheme ▪ PreserveImageOptions ▪ Prolog ▪ RotateLabel ▪ TargetUnits ▪ Ticks ▪ TicksStyle ▪ All ▪ PlotRange ▪ AudioSpectralTransformation ▪ Plot3D ▪ ContourPlot ▪ DensityPlot ▪ ParametricPlot3D ▪ DiscreteRatio ▪ VerifyConvergence ▪ ExponentialGeneratingFunction ▪ InverseZTransform ▪ GeneratingFunction ▪ AccuracyGoal ▪ PerformanceGoal ▪ $PerformanceGoal ▪ PrecisionGoal ▪ UnitStep ▪ Floor ▪ SquareWave ▪ TriangleWave ▪ SawtoothWave ▪ HeavisideTheta ▪ DiracDelta ▪ HeavisideLambda ▪ HeavisidePi ▪ ComplexPlot ▪ MittagLefflerE ▪ PrincipalValue ▪ WorkingPrecision ▪ DSolveValue ▪ Regularization ▪ NIntegrate ▪ MeijerG ▪ InverseLaplaceTransform ▪ UnilateralConvolve ▪ MellinTransform ▪ FractionalD ▪ CaputoD ▪ InverseFourierSequenceTransform ▪ BilateralZTransform ▪ TraditionalForm ▪ BesselJ ▪ True ▪ OrnsteinUhlenbeckProcess ▪ FourierCosTransform ▪ InverseFourierTransform ▪ Convolve ▪ BilateralLaplaceTransform ▪ HankelTransform ▪ RadonTransform ▪ Piecewise ▪ CharacteristicFunction ▪ Asymptotic ▪ Assumptions ▪ $Assumptions ▪ GenerateConditions ▪ False ▪ Pi ▪ Abs ▪ FourierCoefficient ▪ FourierSinSeries ▪ FourierCosSeries ▪ Series ▪ Integrate ▪ Extract ▪ SparseArray ▪ Sinc ▪ MatrixExp ▪ FourierParameters ▪ FourierMatrix ▪ FourierDCT ▪ FourierDST ▪ FourierSinTransform ▪ FindRepeat ▪ FindTransientRepeat ▪ Fit ▪ CepstrumArray ▪ TemporalData ▪ Image ▪ Image3D ▪ Automatic ▪ SampleRate ▪ Audio ▪ SampledSoundList ▪ SampledSoundFunction ▪ Sound ▪ SoundNote ▪ None ▪ Map ▪ OutputResponse ▪ RecurrenceTable ▪ Method ▪ Padding ▪ MaxIterations ▪ N ▪ ImageDeconvolve ▪ Length ▪ Times ▪ Plus ▪ TimeSeries ▪ ImageConvolve ▪ LinearRecurrence ▪ BlockMap ▪ Partition ▪ Accumulate ▪ Inner ▪ CellularAutomaton ▪ ArrayFilter ▪ PadLeft ▪ DiscreteConvolve ▪ ToeplitzMatrix ▪ DiskMatrix ▪ GaussianMatrix ▪ ListCorrelate ▪ GradientFilter ▪ GaussianFilter ▪ DerivativeFilter ▪ LaplacianFilter ▪ WienerFilter ▪ FrequencySamplingFilterKernel ▪ EquirippleFilterKernel ▪ BiquadraticFilterModel ▪ Chebyshev1FilterModel ▪ Chebyshev2FilterModel ▪ BesselFilterModel ▪ TransferFunctionZeros ▪ TransferFunctionTransform ▪ StateSpaceModel ▪ DirichletWindow ▪ ListFourierSequenceTransform ▪ DiscreteChirpZTransform ▪ DaubechisWavelet ▪ ListPlot ▪ ListLinePlot ▪ FindAnomalies ▪ CrossingDetect ▪ ContourDetect ▪ MinDetect ▪ MaxDetect ▪ HistogramList ▪ Mean ▪ Variance ▪ FindFit ▪ MovingAverage ▪ PeriodogramArray ▪ InverseFourier ▪ InverseShortTimeFourier ▪ InverseSpectrogram ▪ SpectrogramArray ▪ CepstrogramArray ▪ DaubechiesWavelet ▪ InverseWaveletTransform ▪ WaveletListPlot ▪ WaveletScalogram ▪ DateListPlot ▪ TimeSeriesModelFit ▪ TimeSeriesForecast ▪ AudioPlot ▪ AudioMeasurements ▪ ImagePeriodogram ▪ ImageMeasurements ▪ EdgeDetect ▪ FindFaces ▪ Import ▪ DeviceRead ▪ BinaryReadList ▪ ShortTimeFourier ▪ DiscreteWaveletTransform ▪ Histogram ▪ FindPeaks ▪ MeanFilter ▪ LeastSquaresFilterKernel ▪ ToDiscreteTimeModel ▪ MicrocontrollerEmbedCode ▪ AudioPitchShift ▪ AudioReverb ▪ AudioLocalMeasurements ▪ AudioIntervals ▪ MovingMap ▪ TimeSeriesResample ▪ TimeSeriesAggregate ▪ Differences ▪ Classify ▪ FindClusters ▪ FeatureSpacePlot ▪ NetModel ▪ NetTrain ▪ AudioIdentify ▪ SpeechRecognize ▪ PitchRecognize ▪