Hamming Window Generator

Overview

Hamming Window

The Hamming window, named for R. W. Hamming, is a window function that tapers a signal towards its edges with non-zero endpoints. The Hamming window features a moderate rolloff rate and optimized to minimize the nearest side lobe, allowing for a fair mix of spectral resolution and noise reduction.

The formula for the Hamming window is:

w(n) = 0.54 - 0.46 * cos(2pi*n/(N-1))

Aside from its common use as a window function, the Q DSP library also utilizes the hamming window generator for modulating the audio signal and generating complex envelopes.

Include

#include <q/synth/hamming_gen.hpp>

Declaration

struct hamming_gen
{
            hamming_gen(duration width, float sps);

   float    operator()();
   void     config(duration width, float sps;
   void     reset();
   void     midpoint();
};

Expressions

hamming_gen is a model of Generator. In addition to valid expressions for Generator, hamming_gen allows these expressions.

Notation

g

Object of type hamming_gen.

w

Object of type duration.

sps

Floating point value representing samples per second.

Constructor

Expression Semantics

hamming_gen(w, sps)

Construct hamming_gen given window width, w, and samples per second, sps.
C++ brace initialization may also be used.

Mutators

Expression Semantics

g.config(w, sps)

Set the window width, w, with samples per second, sps.

g.reset()

Set the current phase to the start of the window.

g.midpoint()

Set the current phase to the middle of the window.