5 Lattice Adaptive Algorithms

This chapter documents the functions used to create, initialize, and update the coefficients of lattice adaptive filters (Section 2.2.4). Table 5.1 summarizes the lattice adaptive functions and gives a short description and a pointer to the reference page of each function.

Table 5.1: Functions for creating, initializing, and updating lattice adaptive filters.

Function Name	Reference	Short Description
asptftrls	5.1	Fast Transversal RLS algorithm.
asptlbpef	5.2	Lattice Backward Prediction Error Filter.
asptlfpef	5.3	Lattice Forward Prediction Error Filter.
asptlmslattice	5.4	LMS-Lattice Joint Process Estimator.
asptrlslattice	5.5	RLS-Lattice joint process estimator
		using a posteriori estimation errors.
asptrlslattice2	5.6	RLS-Lattice joint process estimator
		using a priori estimation errors with error feedback.
asptrlslbpef	5.7	Lattice Backward Prediction Error Filter.
asptrlslfpef	5.8	Lattice Forward Prediction Error Filter.
init_ ftrls	5.9	Initialize Fast Transversal RLS.
init_ lbpef	5.10	Initialize Lattice Backward Prediction Error Filter.
init_ lfpef	5.11	Initialize Lattice Forward Prediction Error Filter.
init_ lmslattice	5.12	Initialize LMS Lattice adaptive filter.
init_ rlslattice	5.13	Initialize RLS-Lattice joint process estimator
		using a posteriori estimation errors.
init_ rlslattice2	5.14	Initialize RLS-Lattice joint process estimator
		using a priori estimation errors with error feedback.
init_ rlslbpef	5.15	Initialize Recursive Least Squares Lattice Backward PEF.
init_ rlslfpef	5.16	Initialize Recursive Least Squares Lattice Forward PEF.

Each function is documented in a separate section including the following information related to the function:

• Purpose: Short description of the algorithm implemented by this function.
• Syntax: Shows the function calling syntax. If the function has optional parameters, this section will have two calling syntaxes. One with only the required formal parameters and one with all the formal parameters.
• Description: Detailed description of the function usage with explanation of its input and output parameters.
• Example: A short example showing typical use of the function. The examples listed can be found in the ASPT/test directory of the ASPT distribution. The user is encouraged to copy from those examples and paste in her own applications.
• Algorithm: A short description of the operations internally performed by the function.
• Remarks: Gives more theoretical and practical remarks related to the usage, performance, limitations, and applications of the function.
• Resources: Gives a summary of the memory requirements and number of multiplications, addition/subtractions, and division operations required to implement the function in real time. This can be used to roughly calculate the MIPS (Million Instruction Per Second) required for a specific platform knowing the number of instructions the processor needs to perform each operation.
• See Also: Lists other functions that are related to this function.
• Reference: Lists literature for more information on the function.