Update README.md

README.md

@@ -4,14 +4,69 @@ Write a simple Python program for the modulation and demodulation of PCM, and DM
 # Tools required
 # Program
 ```
-Attach the program
+import numpy as np
+import matplotlib.pyplot as plt
+
+# ---------------- PARAMETERS ----------------
+fs = 1000          # sampling frequency
+Tb = 1             # bit duration
+fc = 5             # carrier frequency
+data = [1,0,1,1,0,1]
+
+t = np.arange(0, Tb, 1/fs)
+
+# ---------------- MESSAGE ----------------
+message = np.repeat(data, len(t))
+time = np.arange(len(message)) / fs
+
+# ---------------- CARRIER ----------------
+carrier = np.sin(2*np.pi*fc*time)
+
+# ---------------- PSK MODULATION ----------------
+# 1 -> +1 , 0 -> -1
+polar_data = 2*message - 1
+psk = polar_data * carrier
+
+# ---------------- DEMODULATION ----------------
+demod = psk * carrier
+reconstructed = (demod > 0).astype(int)
+
+# ---------------- PLOTS ----------------
+plt.figure(figsize=(12,8))
+
+plt.subplot(4,1,1)
+plt.plot(time, message)
+plt.title("Message Signal")
+plt.ylim(-0.5,1.5)
+plt.grid()
+
+plt.subplot(4,1,2)
+plt.plot(time, carrier)
+plt.title("Carrier Signal")
+plt.grid()
+
+plt.subplot(4,1,3)
+plt.plot(time, psk)
+plt.title("PSK Modulated Signal")
+plt.grid()
+
+plt.subplot(4,1,4)
+plt.plot(time, reconstructed)
+plt.title("Demodulated Signal")
+plt.ylim(-0.5,1.5)
+plt.grid()
+
+plt.tight_layout()
+plt.show()
+
+
 ```
 # Output Waveform
 ```
-Attach the output waveform
+<img width="1189" height="990" alt="download (2)" src="https://github.com/user-attachments/assets/54986ea9-d6b6-4e37-a0d0-9a48d794d974" />
+
 ```
 # Results
 ```
-Attach the output waveform
+Thus the modulation and demodulation of PCM, and DM is Verified
 ```
-# Hardware experiment output waveform.