Digital_signal_processing_problems

Basics of Mathematics

• Scalar, Vectors & Matrices
• Translate Formula into Code
• Functions & Anonymous Functions
• Find, Min, Max
• Descriptive Statistics
• Calculus & Differential Equations
• 2D plotting
• 3D plotting
• Inferential Statistics (Paramater Estimation)
  • Maximum Likelihood Estimation
  • Maximum A Posteriori
• Optimization (Linear Programming)
  • Simplex Method (Primal/Dual)
  • Integer Linear Programming

Basics of Signal Processing

• Statistics
• Convolution
• Correlation
• Signal and Noise
• Complex Number
• DFT
• Windows, Waveforms & Wavelets

Spectral Analysis

• FFT, IFFT
• welch
• spectrogram
• STFT , ISTFT
• periodogram

Digital Filters

• FIR
• IIR
• Windowed Filter
• Match Filter
• Custom Filter
• LTI System

Denoising

• Mean , Median, gaussian, TKEO
• Average multiple repetation
• Templete Matching
• detrend

Resample

• Interpolation
• Upsample, downsample
• Dynamic time warping
• Spectral Interpolation

Outlier Detection

• Thresholding (local/global)
• Sliding RMS

Feature Detection

• Signal Recover
• Event Detection

Variability

• Variance, std, rms
• SNR
• CV
• Entropy