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VHDL implementation of a polyphase filter bank with polyphase filter and 5ndft
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pfb_5n_vhdl/5ndft/winograd5.vhd

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  1. LIBRARY ieee;

  2. USE ieee.std_logic_1164.ALL;

  3. USE ieee.std_logic_signed.ALL;

  4. USE ieee.numeric_std.ALL;

  5. USE work.FIVEn_DFT_PKG.ALL;

  6. 

  7. ENTITY WINOGRAD5 IS

  8.   PORT(

  9.     i_clk     : IN  std_logic;

  10.     i_data_im : IN  vect_input_winograd5_5ndft;

  11.     i_data_re : IN  vect_input_winograd5_5ndft;

  12.     o_data_im : OUT vect_output_winograd5_5ndft := (OTHERS => (OTHERS => '0'));

  13.     o_data_re : OUT vect_output_winograd5_5ndft := (OTHERS => (OTHERS => '0'))

  14.     );

  15. END WINOGRAD5;

  16. 

  17. ARCHITECTURE Behavioral OF WINOGRAD5 IS

  18. 

  19.   SIGNAL mult_factors              : vect_mult_factors_32b          := ("10110000000000000000000000000000", "00100011110001101110111100110111", "00010111001111111101011000011110", "01100010011111000110001000101111", "00100101100111100100011000001001");

  20.   -- multipliers multiplied by 2^30

  21.   SIGNAL mult_factor_w_multipliers : vect_mult_factor_w_multipliers := (OTHERS => (OTHERS => '0'));

  22. 

  23.   --SIGNAL matrix_stages_signed_im             : matrix_winograd5_generic_signed_stages                              := (OTHERS => (OTHERS => (OTHERS => '0')));

  24.   --SIGNAL matrix_stages_signed_re             : matrix_winograd5_generic_signed_stages                              := (OTHERS => (OTHERS => (OTHERS => '0')));

  25.   SIGNAL matrix_stages_im                    : matrix_winograd5_generic_stages                                     := (OTHERS => (OTHERS => (OTHERS => '0')));  --matrix(x)(y) = matrix(stage)(layer) form

  26.   SIGNAL matrix_stages_re                    : matrix_winograd5_generic_stages                                     := (OTHERS => (OTHERS => (OTHERS => '0')));  -- matrix(x)(y) = matrix(stage)(layer) form

  27.   SIGNAL multiply_by_2_power_cst_w_precision : std_logic_vector(cst_w_precision_winograd5_coeffs_5ndft-3 DOWNTO 0) := (OTHERS => '0');

  28.   --SIGNAL in1, in2        :    smpl_out_winograd5_5ndft;

  29.   --SIGNAL isigned         :    smpl_out_winograd5_signed_5ndft;

  30. 

  31. 

  32. 

  33. 

  34. 

  35.   FUNCTION add_sub (

  36.     w_smpl   : IN natural;

  37.     sub      : IN boolean;

  38.     in1, in2 : IN smpl_out_winograd5_5ndft)

  39.     RETURN smpl_out_winograd5_5ndft IS

  40.     VARIABLE smpl_stages_out : smpl_out_winograd5_5ndft := (OTHERS => '0');

  41.   BEGIN

  42.     IF sub THEN

  43.       smpl_stages_out(w_smpl DOWNTO 0) := std_logic_vector(unsigned(signed(in1(w_smpl-1)&in1(w_smpl-1 DOWNTO 0))-signed(in2(w_smpl-1)&in2(w_smpl-1 DOWNTO 0))));

  44.     ELSE

  45.       smpl_stages_out(w_smpl DOWNTO 0) := std_logic_vector(unsigned(signed(in1(w_smpl-1)&in1(w_smpl-1 DOWNTO 0))+signed(in2(w_smpl-1)&in2(w_smpl-1 DOWNTO 0))));

  46.     END IF;

  47.     RETURN smpl_stages_out;

  48.   END FUNCTION;

  49. 

  50. 

  51. 

  52. 

  53. 

  54.   FUNCTION mult (

  55.     w_smpl  : IN natural;

  56.     cmplx   : IN boolean;

  57.     w_coeff : IN natural;

  58.     input   : IN smpl_out_winograd5_5ndft;

  59.     coeff   : IN smpl_mult_factor_w_multipliers

  60.     )

  61.     RETURN std_logic_vector IS

  62.     VARIABLE smpl_signed : smpl_out_winograd5_signed_5ndft := (OTHERS => '0');

  63.     VARIABLE smpl_out    : smpl_out_winograd5_5ndft;

  64.   BEGIN  -- FUNCTION mult

  65.     IF(cmplx) THEN

  66.       smpl_signed(w_smpl+w_coeff-1 DOWNTO 0) := signed(input(w_smpl-1 DOWNTO 0)) * (-signed(coeff));

  67.     ELSE

  68.       smpl_signed(w_smpl+w_coeff-1 DOWNTO 0) := signed(input(w_smpl-1 DOWNTO 0)) * signed(coeff);

  69.     END IF;

  70.     smpl_out := std_logic_vector(unsigned(smpl_signed));

  71.     RETURN smpl_out;

  72.   END FUNCTION mult;

  73. 

  74. 

  75. 

  76. 

  77. 

  78.   FUNCTION smpl_copy (

  79.     w_smpl  : natural;

  80.     smpl_in : smpl_out_winograd5_5ndft)

  81.     RETURN std_logic_vector IS

  82.     VARIABLE smpl_out : smpl_out_winograd5_5ndft := (OTHERS => '0');

  83.   BEGIN  -- FUNCTION copy

  84.     smpl_out(w_smpl DOWNTO 0) := smpl_in(w_smpl-1)&smpl_in(w_smpl-1 DOWNTO 0);

  85.     RETURN smpl_out;  --smpl_in(cst_winograd5_w_out_5ndft-1 DOWNTO w_smpl+1)&smpl_in(w_smpl-1)&smpl_in(w_smpl-1 DOWNTO 0);--smpl_out;

  86.   END FUNCTION smpl_copy;

  87. 

  88. 

  89. BEGIN

  90. 

  91. 

  92.   fill_input_output_matrix_for : FOR i IN 0 TO 4 GENERATE

  93. 

  94.     matrix_stages_im(0)(i)(cst_w_in_5ndft-1 DOWNTO 0) <= i_data_im(i)(cst_w_in_5ndft-1 DOWNTO 0);

  95.     matrix_stages_re(0)(i)(cst_w_in_5ndft-1 DOWNTO 0) <= i_data_re(i)(cst_w_in_5ndft-1 DOWNTO 0);

  96.     o_data_im(i)                                      <= matrix_stages_im(7)(i);

  97.     o_data_re(i)                                      <= matrix_stages_re(7)(i);

  98. 

  99.   END GENERATE fill_input_output_matrix_for;

  100. 

  101. 

  102. 

  103.   -- purpose: Rounds the data in 32bits into cst_w_precision_winograd5_coeffs_5ndft bits (round for

  104.   -- MSBs). Should run and cut before simulation and bitstream

  105.   -- inputs : the coeffs to be cut mult_factors

  106.   -- outputs: the cut coeffs mult_factor_w_multipliers

  107.   mult_coeffs_cut : PROCESS(mult_factors)

  108.   BEGIN

  109.     FOR i IN 1 TO 5 LOOP

  110.       mult_factor_w_multipliers(i) <= mult_factors(i)(31 DOWNTO 32-cst_w_precision_winograd5_coeffs_5ndft);

  111.       IF(mult_factors(i)(31-cst_w_precision_winograd5_coeffs_5ndft) = '1') THEN

  112.         mult_factor_w_multipliers(i) <= std_logic_vector(unsigned(signed(mult_factors(i)(31 DOWNTO 32-cst_w_precision_winograd5_coeffs_5ndft)) +1));

  113.       END IF;

  114.     END LOOP;  -- i

  115.   END PROCESS mult_coeffs_cut;

  116. 

  117. 

  118. 

  119.   -- purpose: calculates each stage following the winograd5 schema

  120.   -- inputs:  matrix_stages_im(0)

  121.   -- outputs: matrix_stages_im(7)

  122.   calculations_process : PROCESS(i_clk)

  123.     VARIABLE w_smpl : natural;

  124.   BEGIN

  125. 

  126.     IF(rising_edge(i_clk)) THEN

  127. 

  128.       -- stage 1

  129.       -- w_smpl              :=== cst_w_in_5ndft+1;

  130.       --data0

  131.       matrix_stages_im(1)(0) <= smpl_copy(w_smpl => cst_w_in_5ndft, smpl_in => matrix_stages_im(0)(0));

  132.       matrix_stages_re(1)(0) <= smpl_copy(w_smpl => cst_w_in_5ndft, smpl_in => matrix_stages_re(0)(0));

  133. 

  134.       -- data1

  135.       matrix_stages_im(1)(1) <= add_sub (w_smpl => cst_w_in_5ndft, sub => false, in1 => matrix_stages_im(0)(3), in2 => matrix_stages_im(0)(2));

  136.       matrix_stages_re(1)(1) <= add_sub (w_smpl => cst_w_in_5ndft, sub => false, in1 => matrix_stages_re(0)(3), in2 => matrix_stages_re(0)(2));

  137. 

  138.       --data2

  139.       matrix_stages_im(1)(2) <= add_sub (w_smpl => cst_w_in_5ndft, sub => false, in1 => matrix_stages_im(0)(4), in2 => matrix_stages_im(0)(1));

  140.       matrix_stages_re(1)(2) <= add_sub (w_smpl => cst_w_in_5ndft, sub => false, in1 => matrix_stages_re(0)(4), in2 => matrix_stages_re(0)(1));

  141. 

  142.       --data3

  143.       matrix_stages_im(1)(3) <= add_sub (w_smpl => cst_w_in_5ndft, sub => true, in1 => matrix_stages_im(0)(3), in2 => matrix_stages_im(0)(2));

  144.       matrix_stages_re(1)(3) <= add_sub (w_smpl => cst_w_in_5ndft, sub => true, in1 => matrix_stages_re(0)(3), in2 => matrix_stages_re(0)(2));

  145. 

  146.       --data4

  147.       matrix_stages_im(1)(4) <= add_sub (w_smpl => cst_w_in_5ndft, sub => true, in1 => matrix_stages_im(0)(1), in2 => matrix_stages_im(0)(4));

  148.       matrix_stages_re(1)(4) <= add_sub (w_smpl => cst_w_in_5ndft, sub => true, in1 => matrix_stages_re(0)(1), in2 => matrix_stages_re(0)(4));

  149. 

  150. 

  151. 

  152. 

  153. 

  154.       -- stage 2

  155.       w_smpl                 := cst_w_in_5ndft+1;

  156.       -- data0,3,4

  157.       matrix_stages_im(2)(0) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(1)(0));

  158.       matrix_stages_re(2)(0) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(1)(0));

  159.       matrix_stages_im(2)(3) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(1)(3));

  160.       matrix_stages_re(2)(3) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(1)(3));

  161.       matrix_stages_im(2)(4) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(1)(4));

  162.       matrix_stages_re(2)(4) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(1)(4));

  163. 

  164.       --data1

  165.       matrix_stages_im(2)(1) <= add_sub (w_smpl => w_smpl, sub => false, in1 => matrix_stages_im(1)(1), in2 => matrix_stages_im(1)(2));

  166.       matrix_stages_re(2)(1) <= add_sub (w_smpl => w_smpl, sub => false, in1 => matrix_stages_re(1)(1), in2 => matrix_stages_re(1)(2));

  167. 

  168.       --data2

  169.       matrix_stages_re(2)(2) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_re(1)(2), in2 => matrix_stages_re(1)(1));

  170.       matrix_stages_im(2)(2) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_im(1)(2), in2 => matrix_stages_im(1)(1));

  171. 

  172.       --data5

  173.       matrix_stages_re(2)(5) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_re(1)(3), in2 => matrix_stages_re(1)(4));

  174.       matrix_stages_im(2)(5) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_im(1)(3), in2 => matrix_stages_im(1)(4));

  175. 

  176. 

  177. 

  178. 

  179. 

  180.       -- stage 3

  181.       w_smpl                 := cst_w_in_5ndft+2;

  182.       --data1,2,3,4,5

  183.       matrix_stages_im(3)(1) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(2)(1));

  184.       matrix_stages_re(3)(1) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(2)(1));

  185.       matrix_stages_im(3)(2) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(2)(2));

  186.       matrix_stages_re(3)(2) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(2)(2));

  187.       matrix_stages_im(3)(3) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(2)(3));

  188.       matrix_stages_re(3)(3) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(2)(3));

  189.       matrix_stages_im(3)(4) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(2)(4));

  190.       matrix_stages_re(3)(4) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(2)(4));

  191.       matrix_stages_im(3)(5) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(2)(5));

  192.       matrix_stages_re(3)(5) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(2)(5));

  193. 

  194.       --data0

  195.       matrix_stages_im(3)(0) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_im(2)(1), in2 => matrix_stages_im(2)(0));

  196.       matrix_stages_re(3)(0) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_re(2)(1), in2 => matrix_stages_re(2)(0));

  197. 

  198. 

  199. 

  200. 

  201. 

  202.       -- stage 4, multiply

  203.       w_smpl                                                                           := cst_w_in_5ndft+3;

  204.       --data0, multiply by 1 = copy

  205.       matrix_stages_im(4)(0)(w_smpl+cst_w_precision_winograd5_coeffs_5ndft-1 DOWNTO 0) <= matrix_stages_im(3)(0)(w_smpl-1)&matrix_stages_im(3)(0)(w_smpl-1)&matrix_stages_im(3)(0)(w_smpl-1 DOWNTO 0)&multiply_by_2_power_cst_w_precision;

  206.       matrix_stages_re(4)(0)(w_smpl+cst_w_precision_winograd5_coeffs_5ndft-1 DOWNTO 0) <= matrix_stages_re(3)(0)(w_smpl-1)&matrix_stages_re(3)(0)(w_smpl-1)&matrix_stages_re(3)(0)(w_smpl-1 DOWNTO 0)&multiply_by_2_power_cst_w_precision;

  207. 

  208.       --data1

  209.       matrix_stages_im(4)(1) <= mult (w_smpl => w_smpl, cmplx => false, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_im(3)(1), coeff => mult_factor_w_multipliers(1));

  210.       matrix_stages_re(4)(1) <= mult (w_smpl => w_smpl, cmplx => false, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_re(3)(1), coeff => mult_factor_w_multipliers(1));

  211. 

  212.       --data2

  213.       matrix_stages_im(4)(2) <= mult (w_smpl => w_smpl, cmplx => false, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_im(3)(2), coeff => mult_factor_w_multipliers(2));

  214.       matrix_stages_re(4)(2) <= mult (w_smpl => w_smpl, cmplx => false, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_re(3)(2), coeff => mult_factor_w_multipliers(2));

  215. 

  216.       --data3

  217.       matrix_stages_re(4)(3) <= mult (w_smpl => w_smpl, cmplx => true, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_im(3)(3), coeff => mult_factor_w_multipliers(3));

  218.       matrix_stages_im(4)(3) <= mult (w_smpl => w_smpl, cmplx => false, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_re(3)(3), coeff => mult_factor_w_multipliers(3));

  219. 

  220.       --data4

  221.       matrix_stages_re(4)(4) <= mult (w_smpl => w_smpl, cmplx => true, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_im(3)(4), coeff => mult_factor_w_multipliers(4));

  222.       matrix_stages_im(4)(4) <= mult (w_smpl => w_smpl, cmplx => false, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_re(3)(4), coeff => mult_factor_w_multipliers(4));

  223. 

  224.       --data5

  225.       matrix_stages_re(4)(5) <= mult (w_smpl => w_smpl, cmplx => true, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_im(3)(5), coeff => mult_factor_w_multipliers(5));

  226.       matrix_stages_im(4)(5) <= mult (w_smpl => w_smpl, cmplx => false, w_coeff => cst_w_precision_winograd5_coeffs_5ndft, input => matrix_stages_re(3)(5), coeff => mult_factor_w_multipliers(5));

  227. 

  228. 

  229. 

  230. 

  231. 

  232.       -- stage 5

  233.       w_smpl                 := cst_w_in_5ndft+3+cst_w_precision_winograd5_coeffs_5ndft;

  234.       --data0, 2, 3, 4, 5

  235.       matrix_stages_im(5)(0) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(4)(0));

  236.       matrix_stages_re(5)(0) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(4)(0));

  237.       matrix_stages_im(5)(2) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(4)(2));

  238.       matrix_stages_re(5)(2) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(4)(2));

  239.       matrix_stages_im(5)(3) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(4)(3));

  240.       matrix_stages_re(5)(3) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(4)(3));

  241.       matrix_stages_im(5)(4) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(4)(4));

  242.       matrix_stages_re(5)(4) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(4)(4));

  243.       matrix_stages_im(5)(5) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(4)(5));

  244.       matrix_stages_re(5)(5) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(4)(5));

  245. 

  246.       --data1

  247.       matrix_stages_re(5)(1) <= add_sub(w_smpl => w_smpl, sub => false, IN1 => matrix_stages_re(4)(1), in2 => matrix_stages_re(4)(0));

  248.       matrix_stages_im(5)(1) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_im(4)(1), in2 => matrix_stages_im(4)(0));

  249. 

  250. 

  251. 

  252. 

  253. 

  254.       -- stage 6

  255.       w_smpl                 := cst_w_in_5ndft+3+cst_w_precision_winograd5_coeffs_5ndft+1;

  256.       --data0

  257.       matrix_stages_im(6)(0) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(5)(0));

  258.       matrix_stages_re(6)(0) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(5)(0));

  259. 

  260.       --data1

  261.       matrix_stages_re(6)(1) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_re(5)(1), in2 => matrix_stages_re(5)(2));

  262.       matrix_stages_im(6)(1) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_im(5)(1), in2 => matrix_stages_im(5)(2));

  263. 

  264.       --data2

  265.       matrix_stages_re(6)(2) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_re(5)(1), in2 => matrix_stages_re(5)(2));

  266.       matrix_stages_im(6)(2) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_im(5)(1), in2 => matrix_stages_im(5)(2));

  267. 

  268.       --data3

  269.       matrix_stages_re(6)(3) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_re(5)(5), in2 => matrix_stages_re(5)(3));

  270.       matrix_stages_im(6)(3) <= add_sub(w_smpl => w_smpl, sub => false, IN1 => matrix_stages_im(5)(5), in2 => matrix_stages_im(5)(3));

  271. 

  272.       --data4

  273.       matrix_stages_re(6)(4) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_re(5)(5), in2 => matrix_stages_re(5)(4));

  274.       matrix_stages_im(6)(4) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_im(5)(5), in2 => matrix_stages_im(5)(4));

  275. 

  276. 

  277. 

  278. 

  279. 

  280.       -- stage 7

  281.       w_smpl                 := cst_w_in_5ndft+3+cst_w_precision_winograd5_coeffs_5ndft+2;

  282.       --data0

  283.       matrix_stages_im(7)(0) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_im(6)(0));

  284.       matrix_stages_re(7)(0) <= smpl_copy(w_smpl => w_smpl, smpl_in => matrix_stages_re(6)(0));

  285. 

  286.       --data1

  287.       matrix_stages_re(7)(1) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_re(6)(2), in2 => matrix_stages_re(6)(4));

  288.       matrix_stages_im(7)(1) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_im(6)(2), in2 => matrix_stages_im(6)(4));

  289. 

  290.       --data2

  291.       matrix_stages_re(7)(2) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_re(6)(1), in2 => matrix_stages_re(6)(3));

  292.       matrix_stages_im(7)(2) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_im(6)(1), in2 => matrix_stages_im(6)(3));

  293. 

  294.       --data3

  295.       matrix_stages_re(7)(3) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_re(6)(1), in2 => matrix_stages_re(6)(3));

  296.       matrix_stages_im(7)(3) <= add_sub(w_smpl => w_smpl, sub => false, in1 => matrix_stages_im(6)(1), in2 => matrix_stages_im(6)(3));

  297. 

  298.       --data4

  299.       matrix_stages_re(7)(4) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_re(6)(2), in2 => matrix_stages_re(6)(4));

  300.       matrix_stages_im(7)(4) <= add_sub(w_smpl => w_smpl, sub => true, in1 => matrix_stages_im(6)(2), in2 => matrix_stages_im(6)(4));

  301. 

  302.     END IF;

  303.   END PROCESS calculations_process;

  304. 

  305. 

  306. END Behavioral;