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features.md

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Features

This is a detailed list of all current and planned features of the library. You can search through the list to see if it suits your needs.

✔️ Supported
❔️ Partially suppported / unknown
❌️ Not supported but planned

Design

  • No dependencies
    • ❌️ XSimd is optional (needed for vectorization)
    • ❌️ Eigen is optional (needed for least-squares FIR design)
    • ✔️ PocketFFT included
  • Vectorization
    • ✔️ Most code is vectorized
  • Embedded-friendly
    • ❔️ Avoid memory allocation (partial)
    • ❌️ Allocator awareness
    • ✔️ No recursion (3rd parties not verified)

Functionality

  • Primitives:
    • ✔️ Signal
    • ✔️ SignalView
    • ✔️ Arithmetic operators
  • Generators
    • Waveform
      • ✔️ Sine
      • ✔️ Square
      • ✔️ Sawtooth (fw, bw, tri, any)
      • ✔️ PWM
      • ✔️ Chirp/Sweep (for all the above types)
    • Space
      • ✔️ Linspace
      • ✔️ Logspace
  • Mathematical functions
    • ✔️ Complex (Abs, Arg, Real, Imag, Conj)
    • ✔️ Trigonometric (Sin, Cos, Tan x inverse)
    • ✔️ Hyperbolic (Sinh, Cosh, Tanh x inverse)
    • ✔️ Exponential (Exp, Log, Log2, Log10)
    • ✔️ Polynomial (Pow, Sqrt, Cbrt)
    • ✔️ Erf and gamma
  • Vector math basics
    • ✔️ Dot product
    • ✔️ Norm (sqrt(SumSquare))
  • Statistics
    • ✔️ Sum
    • ✔️ Mean
    • ✔️ SumSquare
    • ✔️ MeanSquare
    • ✔️ RootMeanSquare
    • ✔️ Min/Max
    • ✔️ Central moments
    • ✔️ Standardized moments
    • ✔️ Standard deviation (popultion & corrected)
    • ✔️ Variance (popultion & corrected)
    • ✔️ Skewness (popultion & corrected)
    • ✔️ Kurtosis (popultion & corrected)
    • ✔️ Covariance (popultion & corrected)
    • ✔️ Correlation
  • Filtering
    • Convolution
      • ✔️ Regular
      • ✔️ Overlap-add
    • FFT
      • ✔️ R->C, C->C, C->C, C->R
      • ✔️ FFT shift
      • ✔️ Bin <-> Frequency conversions
    • FIR filtering
      • Methods:
        • ✔️ Window method
        • ✔️ Least-squares method
        • ❌️ Parks-McClellan method
      • Types:
        • ✔️ Low-pass
        • ✔️ High-pass
        • ✔️ Band-pass
        • ✔️ Band-stop
        • ✔️ Arbitrary response
        • ✔️ Hilbert
      • Realizations:
        • ✔️ Convolution
        • ✔️ Overlap-add
    • IIR filtering
      • Methods:
        • ✔️ Butterworth
        • ✔️ Chebyshev I
        • ✔️ Chebyshev II
        • ✔️ Elliptic
      • Types:
        • ✔️ Low-pass
        • ✔️ High-pass
        • ✔️ Band-pass
        • ✔️ Band-stop
        • ❌️ Notch
      • Realizations:
        • ✔️ Direct form I.
        • ✔️ Direct form II.
        • ✔️ Cascaded biquad
    • Filter response analysis
      • ✔️ Compute amplitude & phase response
      • ✔️ Classify amplitude response: LP/HP/BP/BS
      • Measure amplitude parameters for LP/HP/BP/BS
        • ✔️ Transition edges
        • ✔️ Stopband attenuation
        • ✔️ Passband ripple
    • Polyphase FIR decomposition
    • Resampling
      • ✔️ Decimation (every n-th)
      • ✔️ Expansion (zero-fill)
      • ✔️ Interpolation (polyphase)
      • ✔️ Arbitrary resampling (polyphase)
    • Windowing
      • Derived properties
        • ✔️ Gain
        • ✔️ Energy
      • Functions
        • ✔️ Rectangular
        • ✔️ Triangular
        • ✔️ Hamming
        • ✔️ Blackman
        • ✔️ Blackman-Harris
        • ✔️ Flat top
        • ✔️ Kaiser
        • ✔️ Gaussian
        • ✔️ Dolph-Chebyshev
        • ✔️ Lanczos
    • Wavelets
      • ❌️ DWT
      • ❌️ CWT
      • ❌️ Wavelet design
  • Literals
    • ❌️ Hz, kHz, MHz, GHz, THz
    • ❌️ dB, dB10