A wavelet is a small function, which has finite/local extent in time or space. For example:
fs(t) = 1 - |t-s| if (t-s) < 1 , = 0 otherwise
Wavelets can be one dimensional, for use over time series series or sequential data, 2D for images, or higher dimensions. Wavelets usually form part of a collection with different wavelets at different sizes and locations, so that any time series or image can be expressed as a sum of the wavelets in the collection – called a wavelet transform of the function.
fs(t) = 1 - |t-s| if (t-s) < 1 , = 0 otherwise
Wavelets can be one dimensional, for use over time series series or sequential data, 2D for images, or higher dimensions. Wavelets usually form part of a collection with different wavelets at different sizes and locations, so that any time series or image can be expressed as a sum of the wavelets in the collection – called a wavelet transform of the function.