FreeCalypso > hg > gsm-codec-lib
view libgsmefr/levinson.c @ 467:ad032051166a
doc: AMR-EFR-hybrid-emu new article
author | Mychaela Falconia <falcon@freecalypso.org> |
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date | Sun, 12 May 2024 23:54:43 +0000 |
parents | 1cdbaeec7bcc |
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/************************************************************************* * * FUNCTION: Levinson() * * PURPOSE: Levinson-Durbin algorithm in double precision. To compute the * LP filter parameters from the speech autocorrelations. * * DESCRIPTION: * R[i] autocorrelations. * A[i] filter coefficients. * K reflection coefficients. * Alpha prediction gain. * * Initialisation: * A[0] = 1 * K = -R[1]/R[0] * A[1] = K * Alpha = R[0] * (1-K**2] * * Do for i = 2 to M * * S = SUM ( R[j]*A[i-j] ,j=1,i-1 ) + R[i] * * K = -S / Alpha * * An[j] = A[j] + K*A[i-j] for j=1 to i-1 * where An[i] = new A[i] * An[i]=K * * Alpha=Alpha * (1-K**2) * * END * *************************************************************************/ #include "gsm_efr.h" #include "typedef.h" #include "namespace.h" #include "basic_op.h" #include "oper_32b.h" #include "no_count.h" #include "sig_proc.h" #include "cnst.h" #include "enc_state.h" /* Lpc order == 10 */ #define M 10 void Levinson ( struct EFR_encoder_state *st, Word16 Rh[], /* (i) : Rh[m+1] Vector of autocorrelations (msb) */ Word16 Rl[], /* (i) : Rl[m+1] Vector of autocorrelations (lsb) */ Word16 A[], /* (o) : A[m] LPC coefficients (m = 10) */ Word16 rc[] /* (o) : rc[4] First 4 reflection coefficients */ ) { Word16 i, j; Word16 hi, lo; Word16 Kh, Kl; /* reflexion coefficient; hi and lo */ Word16 alp_h, alp_l, alp_exp; /* Prediction gain; hi lo and exponent */ Word16 Ah[M + 1], Al[M + 1]; /* LPC coef. in double prec. */ Word16 Anh[M + 1], Anl[M + 1];/* LPC coef.for next iteration in double prec. */ Word32 t0, t1, t2; /* temporary variable */ /* K = A[1] = -R[1] / R[0] */ t1 = L_Comp (Rh[1], Rl[1]); t2 = L_abs (t1); /* abs R[1] */ t0 = Div_32 (t2, Rh[0], Rl[0]); /* R[1]/R[0] */ test (); if (t1 > 0) t0 = L_negate (t0); /* -R[1]/R[0] */ L_Extract (t0, &Kh, &Kl); /* K in DPF */ rc[0] = round (t0); move16 (); t0 = L_shr (t0, 4); /* A[1] in */ L_Extract (t0, &Ah[1], &Al[1]); /* A[1] in DPF */ /* Alpha = R[0] * (1-K**2) */ t0 = Mpy_32 (Kh, Kl, Kh, Kl); /* K*K */ t0 = L_abs (t0); /* Some case <0 !! */ t0 = L_sub ((Word32) 0x7fffffffL, t0); /* 1 - K*K */ L_Extract (t0, &hi, &lo); /* DPF format */ t0 = Mpy_32 (Rh[0], Rl[0], hi, lo); /* Alpha in */ /* Normalize Alpha */ alp_exp = norm_l (t0); t0 = L_shl (t0, alp_exp); L_Extract (t0, &alp_h, &alp_l); /* DPF format */ /*--------------------------------------* * ITERATIONS I=2 to M * *--------------------------------------*/ for (i = 2; i <= M; i++) { /* t0 = SUM ( R[j]*A[i-j] ,j=1,i-1 ) + R[i] */ t0 = 0; move32 (); for (j = 1; j < i; j++) { t0 = L_add (t0, Mpy_32 (Rh[j], Rl[j], Ah[i - j], Al[i - j])); } t0 = L_shl (t0, 4); t1 = L_Comp (Rh[i], Rl[i]); t0 = L_add (t0, t1); /* add R[i] */ /* K = -t0 / Alpha */ t1 = L_abs (t0); t2 = Div_32 (t1, alp_h, alp_l); /* abs(t0)/Alpha */ test (); if (t0 > 0) t2 = L_negate (t2); /* K =-t0/Alpha */ t2 = L_shl (t2, alp_exp); /* denormalize; compare to Alpha */ L_Extract (t2, &Kh, &Kl); /* K in DPF */ test (); if (i < 5) { rc[i - 1] = round (t2); move16 (); } /* Test for unstable filter. If unstable keep old A(z) */ if (abs_s (Kh) > 32750) { for (j = 0; j <= M; j++) { A[j] = st->old_A[j]; } for (j = 0; j < 4; j++) { rc[j] = 0; } return; } /*------------------------------------------* * Compute new LPC coeff. -> An[i] * * An[j]= A[j] + K*A[i-j] , j=1 to i-1 * * An[i]= K * *------------------------------------------*/ for (j = 1; j < i; j++) { t0 = Mpy_32 (Kh, Kl, Ah[i - j], Al[i - j]); t0 = L_mac (t0, Ah[j], 32767); t0 = L_mac (t0, Al[j], 1); L_Extract (t0, &Anh[j], &Anl[j]); } t2 = L_shr (t2, 4); L_Extract (t2, &Anh[i], &Anl[i]); /* Alpha = Alpha * (1-K**2) */ t0 = Mpy_32 (Kh, Kl, Kh, Kl); /* K*K */ t0 = L_abs (t0); /* Some case <0 !! */ t0 = L_sub ((Word32) 0x7fffffffL, t0); /* 1 - K*K */ L_Extract (t0, &hi, &lo); /* DPF format */ t0 = Mpy_32 (alp_h, alp_l, hi, lo); /* Normalize Alpha */ j = norm_l (t0); t0 = L_shl (t0, j); L_Extract (t0, &alp_h, &alp_l); /* DPF format */ alp_exp = add (alp_exp, j); /* Add normalization to alp_exp */ /* A[j] = An[j] */ for (j = 1; j <= i; j++) { Ah[j] = Anh[j]; move16 (); Al[j] = Anl[j]; move16 (); } } A[0] = 4096; move16 (); for (i = 1; i <= M; i++) { t0 = L_Comp (Ah[i], Al[i]); st->old_A[i] = A[i] = round (L_shl (t0, 1)); } return; }