Let's evaluate each statement given in the question to determine the correct answer:

1. Statement (A): Non-linear distortion is expected to be minimum in Single Side-band Suppressed Carrier (SSB-SC) systems and maximum in Amplitude Modulation (AM).
   • Explanation: In communication systems, SSB-SC modulation is designed to minimize bandwidth usage and reduce non-linear distortion, as it only transmits one sideband and suppresses the carrier. On the other hand, conventional Amplitude Modulation (AM) includes both sidebands and the carrier which can introduce more distortion due to amplitude variations.
   • Conclusion: This statement is correct.
2. Statement (B): The AM system is always inferior to suppressed carrier systems, from the noise performance point of view.
   • Explanation: Suppressed carrier systems, such as Single Side-band (SSB-SC) and Double Side-band Suppressed Carrier (DSB-SC), generally have better noise performance compared to standard AM systems. This is because suppressed carrier systems do not carry unnecessary components like the carrier, reducing power wastage and improving signal-to-noise ratios.
   • Conclusion: This statement is correct.
3. Statement (C): The receiver of a suppressed carrier system is simple and cheaper than that of the AM system.
   • Explanation: Suppressed carrier systems require coherent demodulation, which involves more complex circuitry for carrier recovery. In contrast, AM systems can use simple envelope detectors that do not require carrier recovery, making AM receivers generally simpler and cheaper.
   • Conclusion: This statement is incorrect.
4. Statement (D): An over-modulated signal refers to the condition when the amplitude of the base-band signal is less than the carrier amplitude.
   • Explanation: Over-modulation occurs when the modulation index is greater than 1, which means the amplitude of the base-band signal exceeds the carrier amplitude, not less. This results in distortion and loss of information.
   • Conclusion: This statement is incorrect.

Based on the analysis, the correct statements are (A) and (B) only. Therefore, the correct answer is:

This evaluation was made by examining the properties of different modulation techniques and their effects on distortion and noise performance.