(Code) How to generate the DSB-SC using message signal (tone modulation)

(Code) How to generate the DSB-SC using message signal (tone modulation) with frequency 2kHz and a carrier signal of frequency 100kHz

Answer 1

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Here's an example of generating a Double Sideband Suppressed Carrier (DSB-SC) signal using a message signal (tone modulation) of 2 kHz and a carrier signal of 100 kHz in Python. The code includes comments to explain the process.

import numpy as np

import matplotlib.pyplot as plt

# Parameters

fs = 1e6 # Sampling frequency (1 MHz)

t = np.arange(0, 1, 1/fs) # Time vector for 1 second

message_freq = 2000 # Message signal frequency (2 kHz)

carrier_freq = 100000 # Carrier signal frequency (100 kHz)

amplitude = 1 # Amplitude of the signals

# Generate message signal (tone modulation)

message_signal = amplitude * np.sin(2 * np.pi * message_freq * t)

# Generate carrier signal

carrier_signal = np.sin(2 * np.pi * carrier_freq * t)

# Generate DSB-SC signal

dsb_sc_signal = message_signal * carrier_signal

# Plot the signals

plt.figure(figsize=(10, 8))

# Message signal

plt.subplot(3, 1, 1)

plt.plot(t[:1000], message_signal[:1000]) # Plot only a small portion for clarity

plt.title('Message Signal (2 kHz)')

plt.xlabel('Time (s)')

plt.ylabel('Amplitude')

# Carrier signal

plt.subplot(3, 1, 2)

plt.plot(t[:1000], carrier_signal[:1000])

plt.title('Carrier Signal (100 kHz)')

plt.xlabel('Time (s)')

plt.ylabel('Amplitude')

# DSB-SC signal

plt.subplot(3, 1, 3)

plt.plot(t[:1000], dsb_sc_signal[:1000])

plt.title('DSB-SC Signal')

plt.xlabel('Time (s)')

plt.ylabel('Amplitude')

plt.tight_layout()

plt.show()

Explanation:

1. Message Signal: A sine wave of 2 kHz is generated to represent the tone modulation.
2. Carrier Signal: A sine wave of 100 kHz serves as the carrier signal.
3. DSB-SC Signal: The product of the message signal and the carrier signal creates the DSB-SC signal.

Application in Healthcare:

Such signal generation techniques are critical in healthcare for applications like wireless biomedical telemetry systems, where efficient modulation and secure transmission of signals (e.g., ECG or other vital data) are essential.

If you’re exploring the development of advanced healthcare systems or similar projects, professional healthcare software development services can help ensure compliance with industry standards and security requirements.

Let me know if you need further clarification or additional enhancements!