Examples

ALSSM Signal Filters

Symmetric Moving Average Filters with ALSSMs [ex121.0]

Symmetric and Non-Symmetric Polynomial Filters with ALSSMs [ex122.0]

Multi-Channel Symmetric Signal Filter [ex123.0]

Onset and Peak Detection With Two-Sided Line Models (TSLMs)

Examples published in “Onset Detection of Pulse-Shaped Bioelectrical Signals Using Linear State Space Models” [Waldmann2022].

(Edu) Edge Detection [ex401.0]

Edge Detection [ex401.1]

Notch Detection in ABP Signal [ex402.0]

ECG P, T Wave Onset and Peak Detection [ex403.0]

Overview of Two-Sided Line Models (TSLM) Applications [ex404.0]

Advanced Event Detection with ALSSMs

Edge Detection [ex110.0]

Rectangular Pulse Detection with Baseline [ex111.0]

Multi-Channel Spike Detection [ex112.0]

ECG Shape Detection [ex113.0]

Correlation (or Convolution) and Matched Filters

The method was pusblished in “Windowed State Space Filters for Peak Interference Suppression in Neural Spike Sorting” [Baeriswyl2022].

Correlation/Convolution in Low-Dimensional ALSSM Feature Space [ex501.0]

Matched Filter in Low-Dimensional ALSSM Feature Space [ex502.0]

Calculus and Cost Functions

Squared error between two polynomials [ex211.0]

Polynomial to Polynomial Fit [ex210.0]

Localized Polynomials

Examples published in “Signal Analysis Using Local Polynomial Approximations” [Wildhaber2020].

Approximating a Polynomial by a Polynomial of Lower Degree [ex601.0]

Audio Signal Shift Estimation [ex602.0]

Time and Amplitude Scaling [ex603.0]

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Calculus with Polynomials [ex203.0]

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Symmetric Moving Average Filters with ALSSMs [ex121.0]