Wavelet packet coefficients

get_detail(w,l) Returns the result of extracting the index-1 block of wavelet packet coefficients at level l from the wavelet packet transform w.

get_smooth(w,l) Returns the result of extracting the 0th block of wavelet packet coefficients at level l from the wavelet packet transform w.

put_detail(w,l,y) Returns the result of inserting the vector y into the index-1 block of wavelet packet coefficients of w at level l.

put_smooth(w,l,y) Returns the result of inserting the vector y into the index-0 block of wavelet packet coefficients of w at level l.

Arguments:

• w is a vector whose length is at least 2^l.
• l is an integer.
• y is a vector whose length is the same as the vector returned by get_detail(w,l) or get_smooth(w,l).

Notes:

• get_smooth(w,l) = get_subband(w,l,0)
• put_smooth(w,l,y) = put_subband(w,l,0,y)
• get_detail(w,l) = get_subband(w,l,1)
• put detail(w,l,y) = put_subband(w,l,1,y)

Mathcad Example

Mathcad Example