1 | // Model of connected Huffman encoder and decoder. |
---|
2 | // The alphabet consists of the uppercase letters and the space. |
---|
3 | // The Huffman tree used by encoder and decoder is shown below. |
---|
4 | // All left branches are labeled 0, and all right branches are labeled 1. |
---|
5 | // |
---|
6 | // +-------------( )---------------+ |
---|
7 | // | | |
---|
8 | // | | |
---|
9 | // +-------( )------+ +------( )-----+ |
---|
10 | // | | | | |
---|
11 | // | | | | |
---|
12 | // +----( )----+ ( ) +--( )--+ ( ) |
---|
13 | // | | / \ | | / \ |
---|
14 | // | | | | | | | | |
---|
15 | // +--( )--+ ( ) [E] ( ) ( ) ( ) [ ] ( ) |
---|
16 | // | | / \ / \ / \ / \ / \ |
---|
17 | // | | | | | | | | | | | | |
---|
18 | // ( ) ( ) [S] ( ) ( ) [A] [I] [O] [R] [N] ( ) [T] |
---|
19 | // / \ / \ / \ / \ / \ |
---|
20 | // | | | | | | | | | | |
---|
21 | // [U] [P] [F] [C] ( ) [L] [H] ( ) [D] ( ) |
---|
22 | // / \ / \ / \ |
---|
23 | // | | | | | | |
---|
24 | // +----( ) [W] [G] [Y] ( ) [M] |
---|
25 | // | \ / \ |
---|
26 | // | | | | |
---|
27 | // ( ) ( ) [B] [V] |
---|
28 | // / \ / \ |
---|
29 | // | | | | |
---|
30 | // [Q] ( ) [K] [X] |
---|
31 | // / \ |
---|
32 | // | | |
---|
33 | // [Z] [J] |
---|
34 | // |
---|
35 | // As an example, the code of W is 001101. |
---|
36 | // |
---|
37 | // This tree is based on the following assumed frequencies. |
---|
38 | // |
---|
39 | // E 130 T 93 N 78 R 77 I 74 O 74 A 73 S 63 D 44 |
---|
40 | // H 35 L 35 C 30 F 28 P 27 U 27 M 25 Y 19 G 16 |
---|
41 | // W 16 V 13 B 9 X 5 K 3 Q 3 J 2 Z 1 |
---|
42 | // |
---|
43 | // That is, it is assumed that there are 130 Es for every thousand letters. |
---|
44 | // It is further assumed that there are 182 spaces for every 1000 letters. |
---|
45 | // |
---|
46 | // The encoder retrieves the code for each symbol from a map, and shifts it |
---|
47 | // out one bit at the time. The decoder is a finite state machine whose |
---|
48 | // state transition graph is obtained from the tree by adding acs from the |
---|
49 | // leaves back to the top of the tree. (To the second level nodes to be |
---|
50 | // precise.) Each node uses ten bits for its encoding. The code of the root |
---|
51 | // is 0. If a state is not a leaf of the tree, and its encoding is n, then |
---|
52 | // the encodings of its two children are 2n+1 and 2n+2. |
---|
53 | |
---|
54 | // Author: Fabio Somenzi <Fabio@Colorado.EDU> |
---|
55 | |
---|
56 | module main(clk, addr,plain); |
---|
57 | input clk; |
---|
58 | input [4:0] addr; |
---|
59 | |
---|
60 | |
---|
61 | wire cipher; |
---|
62 | output [7:0] plain; |
---|
63 | wire[7:0] character; |
---|
64 | |
---|
65 | huffmanEnc encoder (clk, addr, cipher, character); |
---|
66 | |
---|
67 | huffmanDec decoder (clk, cipher, plain); |
---|
68 | |
---|
69 | // Latch data that we want to refer to in properties. |
---|
70 | /* reg ci; |
---|
71 | reg [7:0] ch; |
---|
72 | |
---|
73 | initial begin |
---|
74 | ci = 0; |
---|
75 | ch = 0; |
---|
76 | end |
---|
77 | |
---|
78 | always @ (posedge clk) begin |
---|
79 | ci = cipher; |
---|
80 | ch = character; |
---|
81 | end |
---|
82 | */ |
---|
83 | endmodule // main |
---|
84 | |
---|
85 | |
---|
86 | module huffmanEnc (clk, addr, cipher, character); |
---|
87 | input clk; |
---|
88 | input [4:0] addr; |
---|
89 | output cipher; |
---|
90 | output [7:0] character; |
---|
91 | |
---|
92 | reg [7:0] character; |
---|
93 | |
---|
94 | // This function is the map from symbols (ASCII space and uppercase |
---|
95 | // letters) to codes. Each code consists of from 3 to 9 bits. |
---|
96 | // Since the codes are of variable length, an additional |
---|
97 | // bit is used to mark the end of the symbol. This bit is the |
---|
98 | // leftmost 1. The code is sent out LSB first; hence, it is reversed |
---|
99 | // in this map. For instance, 0000010100 (the entry of the map for S) |
---|
100 | // says that the code for S is 0010. |
---|
101 | function [9:0] code; |
---|
102 | input [7:0] c; |
---|
103 | begin: _code |
---|
104 | case (c) |
---|
105 | 69: code = 10'b0000001010; // E |
---|
106 | 32: code = 10'b0000001011; // space |
---|
107 | 83: code = 10'b0000010100; // S |
---|
108 | 65: code = 10'b0000011110; // A |
---|
109 | 73: code = 10'b0000010001; // I |
---|
110 | 79: code = 10'b0000011001; // O |
---|
111 | 82: code = 10'b0000010101; // R |
---|
112 | 78: code = 10'b0000011101; // N |
---|
113 | 84: code = 10'b0000011111; // T |
---|
114 | 85: code = 10'b0000100000; // U |
---|
115 | 80: code = 10'b0000110000; // P |
---|
116 | 70: code = 10'b0000101000; // F |
---|
117 | 67: code = 10'b0000111000; // C |
---|
118 | 76: code = 10'b0000111100; // L |
---|
119 | 72: code = 10'b0000100110; // H |
---|
120 | 68: code = 10'b0000100111; // D |
---|
121 | 87: code = 10'b0001101100; // W |
---|
122 | 71: code = 10'b0001010110; // G |
---|
123 | 89: code = 10'b0001110110; // Y |
---|
124 | 77: code = 10'b0001110111; // M |
---|
125 | 66: code = 10'b0010010111; // B |
---|
126 | 86: code = 10'b0011010111; // V |
---|
127 | 81: code = 10'b0100001100; // Q |
---|
128 | 75: code = 10'b0101001100; // K |
---|
129 | 88: code = 10'b0111001100; // X |
---|
130 | 90: code = 10'b1010001100; // Z |
---|
131 | 74: code = 10'b1110001100; // J |
---|
132 | default: code = 10'b0; |
---|
133 | endcase // case(character) |
---|
134 | end |
---|
135 | endfunction // code |
---|
136 | |
---|
137 | // This function supplies the ASCII codes of the symbols. |
---|
138 | function [7:0] ROM; |
---|
139 | input [4:0] address; |
---|
140 | begin: _ROM |
---|
141 | if (address < 26) |
---|
142 | ROM = 65 + {3'b0, address}; |
---|
143 | else |
---|
144 | ROM = 32; |
---|
145 | end |
---|
146 | endfunction // ROM |
---|
147 | |
---|
148 | reg [9:0] shiftreg; |
---|
149 | |
---|
150 | initial begin |
---|
151 | character = ROM(addr); |
---|
152 | shiftreg = code(character); |
---|
153 | end |
---|
154 | |
---|
155 | always @ (posedge clk) |
---|
156 | begin |
---|
157 | if (shiftreg[9:1] <= 1) // added by Cecile 24.06.11 |
---|
158 | begin |
---|
159 | character = ROM(addr); |
---|
160 | shiftreg = code(character); // load a new code |
---|
161 | end |
---|
162 | else |
---|
163 | begin |
---|
164 | shiftreg = {1'b0, shiftreg[9:1]}; // shift right |
---|
165 | end |
---|
166 | end |
---|
167 | |
---|
168 | assign cipher = shiftreg[0]; |
---|
169 | |
---|
170 | endmodule // huffmanEnc |
---|
171 | |
---|
172 | |
---|
173 | // The output plain is 0 except for one clock cycle when a character has |
---|
174 | // been decoded. |
---|
175 | module huffmanDec (clk,cipher,plain); |
---|
176 | input clk; |
---|
177 | input cipher; |
---|
178 | output [7:0] plain; |
---|
179 | |
---|
180 | reg [9:0] state; |
---|
181 | |
---|
182 | wire leaf; |
---|
183 | wire [7:0] character; |
---|
184 | |
---|
185 | initial state = 0; |
---|
186 | |
---|
187 | // This function maps states to characters. All non-leaf states are |
---|
188 | // mapped to NUL. The leaf states are mapped to the ASCII code of the |
---|
189 | // corresponding symbol. |
---|
190 | function [7:0] map; |
---|
191 | input [9:0] state; |
---|
192 | begin: _map |
---|
193 | case (state) |
---|
194 | 9: map = 69; // E |
---|
195 | 13: map = 32; // space |
---|
196 | 17: map = 83; // S |
---|
197 | 22: map = 65; // A |
---|
198 | 23: map = 73; // I |
---|
199 | 24: map = 79; // O |
---|
200 | 25: map = 82; // R |
---|
201 | 26: map = 78; // N |
---|
202 | 30: map = 84; // T |
---|
203 | 31: map = 85; // U |
---|
204 | 32: map = 80; // P |
---|
205 | 33: map = 70; // F |
---|
206 | 34: map = 67; // C |
---|
207 | 38: map = 76; // L |
---|
208 | 43: map = 72; // H |
---|
209 | 59: map = 68; // D |
---|
210 | 76: map = 87; // W |
---|
211 | 89: map = 71; // G |
---|
212 | 90: map = 89; // Y |
---|
213 | 122: map = 77; // M |
---|
214 | 243: map = 66; // B |
---|
215 | 244: map = 86; // V |
---|
216 | 303: map = 81; // Q |
---|
217 | 305: map = 75; // K |
---|
218 | 306: map = 88; // X |
---|
219 | 609: map = 90; // Z |
---|
220 | 610: map = 74; // J |
---|
221 | default: map = 0; |
---|
222 | endcase // case(state) |
---|
223 | end // block: _map |
---|
224 | endfunction // map |
---|
225 | |
---|
226 | assign plain = map(state); |
---|
227 | assign leaf = plain != 0; |
---|
228 | |
---|
229 | always @ (posedge clk) begin |
---|
230 | state = (leaf ? 0 : {state[8:0],1'b0}) + (cipher ? 2 : 1); |
---|
231 | end |
---|
232 | |
---|
233 | endmodule // huffmanDec |
---|