Generating Dual Sine Waves with Different Frequencies and Amplitudes
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Resource Overview
Generate two sine wave signals with distinct frequencies and amplitudes, superimpose them, perform spectral analysis, and reconstruct the original signals using a low-pass filter (LPF)
Detailed Documentation
Before conducting spectral analysis, we first need to generate two sine wave signals with different frequencies and amplitudes. The implementation typically involves defining parameters like sampling frequency (fs), signal duration (t), and using trigonometric functions (e.g., sin(2*pi*f*t)) with varying frequency (f1, f2) and amplitude (A1, A2) values. These signals are then superimposed through algebraic addition of their sampled values. A low-pass filter (LPF) is applied to the combined signal for reconstruction, employing digital filter design techniques (e.g., butterworth or FIR filters) with appropriate cutoff frequencies to isolate the original components. This approach enables systematic study and analysis of signal characteristics through spectral examination techniques like FFT (Fast Fourier Transform) for frequency-domain visualization.
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