echomap::WindowFunctions::Hamming Struct Reference

The Hamming raised-cosine window. More...

#include <WindowFunctions.hpp>

Static Public Member Functions
static float	operator() (std::size_t index, std::size_t size) noexcept
	Maps the index into the Hamming function.

Detailed Description

The Hamming raised-cosine window.

Definition at line 109 of file WindowFunctions.hpp.

Member Function Documentation

operator()()

float echomap::WindowFunctions::Hamming::operator() ( std::size_t index, std::size_t size )

staticnoexcept

Maps the index into the Hamming function.

For a window of size \( M \), let \( N = M - 1 \).

\[ w[n] = \alpha - \beta\cos\left(\frac{2\pi n}{N}\right) \]

where

\[ \alpha = 0.54,\quad \beta = 1 - \alpha = 0.46. \]

for index \( n \).

Parameters

index	The index within the window.
size	The size of the window.

Returns

The Hamming-mapped index.

Definition at line 30 of file WindowFunctions.cpp.

{
    if (size <= 1)
        return 1.0f;
 
    constexpr float hamming_ratio = 25.0f / 46;
    return hamming_ratio - (1.0f - hamming_ratio) * std::cos(
                                                            2.0f * std::numbers::pi_v<float> *
                                                            static_cast<float>(index) / static_cast<float>(size - 1)
                                                    );
}

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The documentation for this struct was generated from the following files:

• src/objects/factories/WindowFunctions.hpp
• src/objects/factories/WindowFunctions.cpp