Spectral Analysis Courses and Certifications

Steve Brunton

Koopman Spectral Analysis - Overview

Introduces Koopman operator theory for representing nonlinear dynamical systems linearly through data-driven measurements, eigenfunctions, invariant subspaces, and dynamic mode decomposition.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Random Processes

Describe random processes and fields through correlation and spectral density functions, estimate their parameters from data, and simulate realizations with Monte Carlo for reliability analysis.

• Coursera
• 4 weeks, 4 hours a week
• Self-Paced
• Paid Course

Stanford;  Universitat Pompeu Fabra

Audio Signal Processing for Music Applications

294 ratings at Coursera

Analyze, transform and synthesize musical sounds with spectral techniques: DFT, STFT, sinusoidal, harmonic and stochastic models, implemented in Python with sms-tools, Essentia and the Freesound API.

• Coursera
• 11 weeks, 4 hours a week
• Self-Paced
• Free Online Course

Discrete-Time Signal Processing

2 ratings

A focused view into the theory behind modern discrete-time signal processing systems and applications.

• edX
• 4 weeks, 8 hours a week
• Self-Paced
• Free Certificate

Introduction to Neural Computation

1 rating

This course introduces quantitative approaches to understanding brain and cognitive functions.

• MIT OpenCourseWare
• 25 hours
• Self-Paced
• Free Video

Creating Features for Time Series Data

Create time series features with binning, smoothing, and transformations, apply distance measures, run spectral and singular spectrum analysis, and detect motifs in sequences.

• Coursera
• 7 weeks, 2 hours a week
• Self-Paced
• Paid Course

Learning Time Series with Interventions

Model time series as linear time-invariant systems: apply spectral analysis, ARMA and integrated processes, matrix completion for imputation, and dynamic programming and reinforcement learning for interventions.

• MITx Online
• Self-Paced
• Free Online Course

NPTEL;  IIT Kharagpur

Probability & Random Variables

A lecture series develops probability from axioms and random variables through stochastic processes, spectral analysis, and adaptive filtering.

• YouTube
• 1 day 16 hours
• Self-Paced
• Free Video

MathWorks

Signal Processing Onramp

1 rating

An interactive introduction to signal processing methods for spectral analysis.

• MATLAB Academy
• 1 hour
• Self-Paced
• Free Certificate

University of Victoria

Extracting Information From Music Signals

Extract information from music signals: build spectrograms with the DFT, estimate monophonic pitch, track beats and tempo, and compute MFCCs and chroma features.

• Kadenze
• 50 hours
• Self-Paced
• Free Online Course

MathWorks

Signal Processing with MATLAB

Generate and resample signals, estimate power spectral density with periodogram and Welch methods, design FIR and IIR filters, and process streaming signals frame by frame in MATLAB.

• MATLAB Academy
• 7 hours
• Self-Paced
• Paid Course

Ryan O'Donnell

Analysis of Boolean Functions

Dive into Fourier analysis, noise stability, social choice theory, and computational complexity through 23 graduate-level lectures covering Boolean function analysis fundamentals.

• YouTube
• 1 day 5 hours 49 minutes
• Self-Paced
• Free Video

Black Hat

Pen Testing a City

Comprehensive methodology for reverse engineering and securing cities' IT infrastructure, exploring vulnerabilities and developing strategies for penetration testing and defense at the urban scale.

• YouTube
• 50 minutes
• Self-Paced
• Conference Talk

Scaling Rules for Optimization - Lecture 7

Explore neural computation from a spectral perspective and master scaling rules for transferring hyperparameters across network width and depth in deep learning optimization.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Codeynamics

Calculating Strouhal Number in ANSYS Fluent Using Fast Fourier Transform for Flow Over a Cylinder

Learn to calculate Strouhal number in ANSYS Fluent using FFT for flow over a cylinder. Master simulation setup, FFT analysis, and result interpretation in computational fluid dynamics.

• YouTube
• 11 minutes
• Self-Paced
• Free Video