Frequency Modulation with 1000 Hz Carrier Wave

Resource Overview

Implementation of frequency modulation using a 1000 Hz carrier wave, with additive white Gaussian noise introduced before demodulation. Demodulation is performed at signal-to-noise ratios of 0.001, 0.01, 0.05, 0.1, and 0.3, followed by plotting of the modulated signals to analyze noise impact.

Detailed Documentation

In this experiment, we implement frequency modulation using a 1000 Hz carrier wave and introduce additive white Gaussian noise (AWGN) to the modulated signal prior to demodulation. To comprehensively analyze the relationship between noise power and modulated signal power, we test five different signal-to-noise ratio (SNR) values: 0.001, 0.01, 0.05, 0.1, and 0.3. For each SNR condition, we perform demodulation and generate corresponding plots of the modulated signals using visualization functions like matplotlib's plot() or MATLAB's plot function. This comparative analysis enables clear observation of signal degradation patterns under varying noise conditions. The implementation typically involves using frequency modulation functions (such as fmmod in MATLAB or scipy.signal's frequency modulation methods), AWGN generation functions (awgn in MATLAB or numpy.random.normal for Python implementations), and appropriate demodulation techniques (like fmdemod in MATLAB). Through this systematic experimentation and graphical analysis, we gain deeper insights into the effects of noise on frequency modulation systems and develop better strategies for noise mitigation in communication systems.