Method and apparatus for performing linear filtering in wavelet based domain

A method for linear filtering digital signals from a data source using desired filters of various shape and length to establish a desired filtered effect, the filtering method comprising the steps of:

• inverse wavelet transforming said digital signals with modified inverse wavelet filter bank functions during an inverse wavelet reconstruction synthesis using said inverse wavelet transform as a computation engine;
• and
• forming said modified inverse wavelet filter bank functions from the filter bank functions of said inverse wavelet transform in accordance with said desired filtering effect, said modification of filter bank functions comprising:
• convolving each filter bank function of at least one stage level of said inverse wavelet transform with said desired filter, thereby forming a modified inverse wavelet transform.

A method for linear filtering digital signals from a data source using desired filters of various shape and length to establish a desired filtered effect, the filtering method comprising the steps of:

• wavelet transforming and inverse wavelet transforming said digital signals with modified filter bank functions using said wavelet and inverse wavelet transforms as a computation engines;
• forming said modified filter bank functions from the filter bank functions of said wavelet and inverse wavelet transforms in accordance with said desired filtering effect;
• and
• splitting said desired filter in a first part and a second part, said modification of said filter bank functions of said wavelet and inverse wavelet transforms comprising:
• convolving each filter bank function of at least one stage level of said wavelet transform with said first part of said desired filter, thereby forming a modified wavelet transform;
• and
• convolving each filter bank function of at least one stage level of said inverse wavelet transform with said second part of said desired filter, thereby forming a modified inverse wavelet transform.

A linear filtering apparatus for linear filtering digital signals using desired filters of various shape and length to establish a desired filtered effect on said digital signals, said apparatus having a control means for controlling the operation of said linear filtering apparatus, and a signal sensing means that receives said digital signals from a signal data source, said linear filtering apparatus comprising:

• wavelet transform means and inverse wavelet transform means for wavelet transforming and inverse wavelet transforming, respectively, said digital signals with respective modified wavelet filter bank functions and modified inverse wavelet filter bank functions, during wavelet decomposition and inverse wavelet reconstruction analyses, respectively, using said wavelet and inverse wavelet transforms as computation engines, wherein:
• said desired filter is split into a first part and a second part;
• and
• said modified wavelet filter bank functions of said wavelet transform are formed in accordance with said desired filtering effect, wherein said modification comprises:
• convolving each of the wavelet filter bank functions of at least one stage level of said wavelet transform with said first part of said desired filter, thereby forming a modified wavelet transform;
• and
• said modified inverse wavelet filter bank functions of said inverse wavelet transform are formed in accordance with said desired filtering effect, wherein said modification comprises:
• convolving each of the filter bank functions of at least one stage level of said inverse wavelet transform with said second part of said desired filter, thereby forming a modified inverse wavelet transform.

A computer usable medium having computer readable program code thereon for linear filtering digital signals using desired filter means of various shape and length to establish a desired filtered effect on said digital signals, whereby said computer usable medium for use in a computer is controlled by a control means for operating the computer, and whereby said computer usable medium is for use with a signal sensing means that receives said digital signals from a signal data source, wherein said computer usable medium comprises:

• wavelet transform means and inverse wavelet transform means for wavelet transforming and inverse wavelet transforming, respectively, said digital signals in with respective modified wavelet filter bank functions and modified inverse wavelet filter bank functions, using said wavelet and inverse wavelet transforms as a computation engines, wherein:
• said desired filter is split into a first part and a second part;
• and
• said modified wavelet filter bank functions of said wavelet transform are formed in accordance with said desired filtering effect, by:
• convolving the filter bank functions of at least one stage level of said wavelet transform with said first part of said desired filter, thereby forming a modified wavelet transform;
• and
• said modified inverse wavelet filter bank functions of said inverse wavelet transform are formed in accordance with said desired filtering effect by:
• convolving the filter bank functions of at least one stage level of said inverse wavelet transform with said second part of said desired filter, thereby forming a modified inverse wavelet transform.

A method for electronically sending digital signals over a communication network from a source acquisition system for use at a remote destination rendering system, said method comprising the steps of:

• establishing an electronics communications link between said source acquisition system and said remote destination rendering system over said network;
• and operating said source acquisition system to transmit said digital signals over said network for use in a rendering device or output device at said remote destination rendering system, said method further comprising the steps of:
• linear filtering at said source acquisition system said digital signals using a desired filter of various shape and length to establish a desired filtered effect, said linear filtering comprising the steps of:
• wavelet transforming said digital signals with modified wavelet filter bank functions during a wavelet decomposition analysis using said wavelet transform as a computation engine;
• and forming said modified wavelet filter bank functions of said wavelet transform in accordance with said desired filtering effect, wherein said modification is effected by convolving the filter bank functions of at least one stage level of said wavelet transform with said desired filter, thereby forming a modified wavelet transform.

A method for electronically rendering digital signals at a destination rendering system, said signals being transmitted over a communication network that originates from a source acquisition system, said method comprising the steps of:

• establishing an electronic communications link between said source acquisition system and said destination rendering system over said network;
• and operating said destination rendering system to receive said digital signals over said network for use in a rendering device or output device at said destination rendering system, said method further comprising the steps of:
• linear filtering at said destination rendering system said digital signals transmitted from said source acquisition system using a desired filter of various shape and length to establish a desired filtered effect, said linear filtering comprising the steps of:
• inverse wavelet transforming said digital signals with modified inverse wavelet filter bank functions during an inverse wavelet reconstruction analysis using said inverse wavelet transform as a computation engine;
• and
• forming said modified inverse wavelet filter bank functions of said inverse wavelet transform in accordance with said desired filtering effect, wherein said modification is effected by convolving each of the filter bank functions of at least one stage level of said inverse wavelet transform with said desired filter, thereby forming a modified inverse wavelet transform.

A method for electronically acquiring digital signals over a communication network from a source acquisition system by means of a remote destination rendering system, said method comprising the steps of:

• establishing an electronic communications link between said source acquisition system and said remote destination rendering system over said network;
• and operating said source acquisition system to transmit said digital signals over said network for use in a rendering device or output device at said remote destination rendering system, and
• operating said remote destination rendering system to receive said digital signals transmitted from said source acquisition system for use in said rendering device or output device, and said method further comprising the steps of:
• a) splitting a desired filter of various shape and length into a first part and second part;
• b) linear filtering at said source acquisition system said digital signals using said first part of said desired filter to establish a desired filtered effect, wherein said linear filtering comprises the steps of:
• wavelet transforming said digital signals with modified wavelet filter bank functions during a wavelet decomposition analysis using said wavelet transform as a computation engine;
• and forming said modified wavelet filter bank functions from the filter bank functions of said wavelet transform in accordance with said desired filtering effect, wherein said modification is effected by convolving each of the filter bank functions of at least one stage level of said wavelet transform with said first part desired filter, thereby forming a modified wavelet transform;
• and
• c) linear filtering at said remote destination rendering system said digital signals transmitted from said source acquisition system using said second part of said desired filter to establish a desired filtered effect, said linear filtering comprising the steps of:
• inverse wavelet transforming said digital signals with modified inverse wavelet filter bank functions during a wavelet reconstruction analysis using said inverse wavelet transform as a computation engine;
• and forming said modified inverse wavelet filter bank functions from the filter bank functions of said inverse wavelet transform in accordance with said desired filtering effect, wherein said inverse wavelet modification is effected by convolving each of the filter bank functions of at least one stage level of said inverse wavelet transform with said second part desired filter, thereby forming a modified inverse wavelet transform.