Sampling & Reconstruction

Calculations & Observations




Fig.1 Showing Sampled & reconstructed Sine Wave

The LPF Gain & frequency can be varied in order to recover the sampled sinewave back. The sampling frequency is 8333.33 Hz & the sine wave has a frequency is 245.736 Hz which is more than double the maximum frequency component of sine wave. So is the verification of sampling theorem.




Fig.2 Frequency Spectrum of Sampled Signal

The dominant frequency components present are at 0 Hz, 850Hz 890 Hz, etc.
The THD (Total harmonic Distortion) is 5.68% & Signal to noise ratio is 3.06 dB.
The Detected Fundamental frequency is 244.28 Hz & the Fundamental frequency power is 0.50.




Fig.3 Frequency Spectrum of Re-constructed Signal

The dominant frequency is present but is far apart & with a Total Harmonic Distortion (THD) is 2.63% & SINAD is 23.48 dB. The Fundamental frequency is 244.14 Hz & Fundamental frequency Power is 0.26.




Fig.4 Showing Power Spectrum (in dB scale) of sampled signal

From the Fig.4, you can see that the scale chosen is dB scale. The THD is 5.43% & SINAD is 3.07.




Fig.5 Power Spectrum in dB scale of Re-Constructed Signal

The Reconstructed signal has THD is 2.17% & SINAD is 23.37 dB. The signal to noise ratio of reconstructed signal is more than the sampled signal.