Method and apparatus for generating frequency-stable wavelets

A wavelet generator, comprising:

• a first sine wave generator for generating a first sine wave having a first frequency;
• a half sine wave window generator for generating a half sine wave window having a window frequency;
• and
• a mixer for mixing the first sine wave and the half sine wave window to produce a wavelet,
• wherein the window frequency is lower than the first frequency.

A method for generating wavelets, comprising:

• generating a first sine wave having a first frequency;
• generating a series of half sine wave windows, having a window frequency;
• and
• mixing the first sine wave and the half sine wave windows to produce a series of wavelets,
• wherein the window frequency is lower than the first frequency.

A method for correlating incoming wavelets with locally generated wavelets, comprising:

• generating a first sine wave having a first frequency;
• generating a series of half sine wave windows, having a window frequency;
• mixing the first sine wave and the half sine wave windows to produce a locally generated wavelet stream;
• receiving an incoming wavelet stream;
• and
• mixing the locally generated wavelet stream with the incoming wavelet stream to generate a correlation value,
• wherein the window frequency is lower than the first frequency.

A correlator, comprising:

• a first sine wave generator for generating a first sine wave having a first frequency;
• a second sine wave generator for generating a second sine wave having a second frequency;
• a half sine wave window generator for generating a series of half sine wave windows having a window frequency;
• a first mixer for mixing the first sine wave and the series of half sine wave windows to produce a locally-generated wavelet stream;
• and
• a second mixer for mixing the locally generated wavelet stream with an incoming wavelet stream to generate a correlation value,
• wherein the second frequency is lower than the first frequency.