feat: improve results basing on theory

decoder.py

@@ -1,28 +1,40 @@
-
-# decoder.py
 import numpy as np
+from numpy import logaddexp
 from utils import index_to_char
 from codebook import construct_codebook
 
 def decode_message(Y, codebook):
+    """
+    ML decoding for unknown channel state s:
+    p(Y|i) = 0.5*p(Y|i,s=1) + 0.5*p(Y|i,s=2)
+    We use log-sum-exp to combine both branch metrics.
+    """
+    G = 10
     Y1, Y2 = Y[::2], Y[1::2]
-    scores = []
+    best_idx = None
+    best_metric = -np.inf
     for i, c in enumerate(codebook):
+        # Only consider indices that map to characters
+        if i not in index_to_char:
+            continue
         c1, c2 = c[::2], c[1::2]
-        s1 = np.sqrt(10) * np.dot(Y1, c1) + np.dot(Y2, c2)
-        s2 = np.dot(Y1, c1) + np.sqrt(10) * np.dot(Y2, c2)
-        scores.append(max(s1, s2))
-    return np.argmax(scores)
+        # Branch metrics (up to additive constants)
+        s1 = np.sqrt(G) * np.dot(Y1, c1) + np.dot(Y2, c2)
+        s2 = np.dot(Y1, c1) + np.sqrt(G) * np.dot(Y2, c2)
+        # Combine via log-sum-exp
+        metric = logaddexp(s1, s2)
+        if metric > best_metric:
+            best_metric = metric
+            best_idx = i
+    return best_idx
+
 
 def signal_to_text(Y, codebook, r=6):
-    _, n, _, _ = construct_codebook(r, 1)
-    seg_len = n
+    # Reconstruct codebook length (seg_len)
+    _, seg_len, _, _ = construct_codebook(r, 1)
     text = ''
     for i in range(40):
         seg = Y[i * seg_len:(i + 1) * seg_len]
-        index = decode_message(seg, codebook)
-        if index in index_to_char:
-            text += index_to_char[index]
-        else:
-            text += '?'  # Unknown character
+        idx = decode_message(seg, codebook)
+        text += index_to_char.get(idx, '?')
     return text

encoder.py

@@ -1,11 +1,14 @@
+# encoder.py (unchanged except default r)
 import numpy as np
 from codebook import construct_codebook
 from utils import char_to_index, normalize_energy
 
-def text_to_signal(text, r=9, Eb=4):
+def text_to_signal(text, r=5, Eb=3):
     assert len(text) == 40, "Message must be exactly 40 characters."
     codebook, n, m, alpha = construct_codebook(r, Eb)
+    # Map each character to its codeword
     msg_indices = [char_to_index[c] for c in text]
     signal = np.concatenate([codebook[i] for i in msg_indices])
+    # Enforce the energy constraint
     signal = normalize_energy(signal, energy_limit=2000)
     return signal, codebook

evaluate_zero_error_ratio.py

@@ -0,0 +1,54 @@
+# evaluate_zero_error_ratio.py
+
+import argparse
+import numpy as np
+from encoder import text_to_signal
+from decoder import signal_to_text
+from channel import channel
+
+def zero_error_ratio(message: str, r: int, Eb: float, n_runs: int) -> float:
+    """
+    Runs the encode–channel–decode pipeline n_runs times on the same message,
+    and returns the fraction of runs with 0 character errors.
+    """
+    zero_count = 0
+    for _ in range(n_runs):
+        # encode
+        x, codebook = text_to_signal(message, r=r, Eb=Eb)
+        # pass through channel
+        y = channel(x)
+        # decode
+        decoded = signal_to_text(y, codebook, r=r)
+        # count errors
+        errors = sum(1 for a, b in zip(message, decoded) if a != b)
+        if errors == 0:
+            zero_count += 1
+    return zero_count / n_runs
+
+if __name__ == "__main__":
+    parser = argparse.ArgumentParser(
+        description="Estimate the zero-error run ratio over n trials."
+    )
+    parser.add_argument(
+        "--message", type=str, required=True,
+        help="The 40-char message to test."
+    )
+    parser.add_argument(
+        "--r", type=int, default=6,
+        help="Codebook parameter r (default: 6)."
+    )
+    parser.add_argument(
+        "--Eb", type=float, default=3.0,
+        help="Energy per bit Eb (default: 3)."
+    )
+    parser.add_argument(
+        "--n", type=int, default=1000,
+        help="Number of runs (default: 1000)."
+    )
+    args = parser.parse_args()
+
+    if len(args.message) != 40:
+        raise ValueError("Message must be exactly 40 characters long.")
+
+    ratio = zero_error_ratio(args.message, args.r, args.Eb, args.n)
+    print(f"Zero-error runs: {ratio:.3%} ({ratio:.4f} of {args.n})")

test_local.py

@@ -3,10 +3,10 @@ from decoder import signal_to_text
 from channel import channel
 
 def test_local():
-    message = "This is the end of the PDC course. Good "
-    x, codebook = text_to_signal(message, r=9, Eb=5)
+    message = "HelloWorld123 ThisIsATestMessage12345678"
+    x, codebook = text_to_signal(message, r=6, Eb=3)
     y = channel(x)
-    decoded = signal_to_text(y, codebook, r=9)
+    decoded = signal_to_text(y, codebook, r=6)
 
     print(f"Original: {message}")
     print(f"Decoded : {decoded}")

test_server.py

@@ -5,7 +5,7 @@ from decoder import signal_to_text
 
 def test_server():
     message = "HelloWorld123 ThisIsATestMessage12345678"
-    x, codebook = text_to_signal(message, r=6, Eb=1)
+    x, codebook = text_to_signal(message, r=6, Eb=3)
     np.savetxt("input.txt", x, fmt="%.10f")
 
     subprocess.run([