📄 bwexp.m
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% MATLAB SIMULATION OF NSA FS-1016 CELP v3.2
% COPYRIGHT (C) 1995-99 ANDREAS SPANIAS AND TED PAINTER
%
% This Copyright applies only to this particular MATLAB implementation
% of the FS-1016 CELP coder. The MATLAB software is intended only for educational
% purposes. No other use is intended or authorized. This is not a public
% domain program and distribution to individuals or networks is strictly
% prohibited. Be aware that use of the standard in any form is goverened
% by rules of the US DoD. Therefore patents and royalties may apply to
% authors, companies, or committees associated with this standard, FS-1016. For
% questions regarding the MATLAB implementation please contact Andreas
% Spanias at (480) 965-1837. For questions on rules,
% royalties, or patents associated with the standard, please contact the DoD.
%
% ALL DERIVATIVE WORKS MUST INCLUDE THIS COPYRIGHT NOTICE.
%
% ******************************************************************
% BWEXP
%
% PORTED TO MATLAB FROM CELP 3.2a C RELEASE
% 6-9-94
%
% ******************************************************************
%
% DESCRIPTION
%
% Bandwidth expansion of LPC predictor coefficients
%
% DESIGN NOTES
%
% Subroutine to perform bandwidth modification by moving the poles
% (or zeros) radially in the z plane. If the bandwidth expansion
% factor (alpha) is less than unity, the bandwidths are expanded by
% shifting the poles (or zeros) toward the origin of the z plane.
% The predictor coefficients are scaled directly according to:
%
% i-1
% a' = a alpha where i = 1, . . . , order+1
% i i
%
% This results in a bandwidth expansion of:
%
% -(fs/pi)ln(alpha) Hz
%
% (e.g., fs = 8 kHz, alpha = 0.994127 -> 15 Hz bandwidth expansion)
%
% LPC predictor coefficient convention is:
%
% p+1 -(i-1)
% A(z) = SUM a z where a = +1.0
% i=1 i 1
%
% VARIABLES
%
% INPUTS
% pc - Predictor coefficients
% alpha - Bandwidth expansion factor for LPC poles
% n - Predictor order
%
% OUTPUTS
% pcexp - Expanded predictor coefficients
%
% ******************************************************************
function pcexp = bwexp( alpha, pc, n )
% SCALE PREDICTOR COEFFICIENTS TO SHIFT POLES RADIALLY INWARD
pcexp( 1:n+1, 1 ) = ( pc( 1:n+1 ) .* ( alpha .^ (0:n)' ) );
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