Key research themes
1. How can predictive differential coding improve compression efficiency in Pulse Code Modulation?
This research area focuses on leveraging prediction techniques within PCM systems to reduce redundancy and improve compression rates while preserving signal quality. Differential Pulse Code Modulation (DPCM) and its variants use previous sample correlations to predict current samples, thus transmitting only the difference which typically has lower entropy. Various algorithmic enhancements such as linear prediction, autoregressive filtering, and recursive least squares (RLS) filters have been employed to optimize this process, with applications spanning audio, speech, image, and hyperspectral data compression. Understanding and improving prediction filters’ robustness and sensitivity is critical to ensuring stable and high-fidelity signal reconstruction.
2. What are the novel modulation methods integrating Pulse Code Modulation with advanced waveform techniques for enhanced spectral efficiency and robustness?
This theme investigates the fusion of PCM principles with other advanced modulation schemes such as continuous phase modulation (CPM), generalized frequency division multiplexing (GFDM), and multilevel pulse width modulation. The goal is to combine the simplicity and robustness of PCM with spectral efficiency and reduced out-of-band emissions suitable for modern wireless and optical communication systems. Researchers focus on architecture design, pulse shaping, hybrid mappings, and theoretical analyses to counter impairments from multipath fading, nonlinearity, and hardware constraints.
3. How does fundamental quantization and sampling theory underpin the Pulse Code Modulation process and dictate its performance limits?
This research theme covers the theoretical and practical aspects of PCM from signal sampling, quantization, and encoding perspectives. Foundational concepts such as the Nyquist sampling theorem, quantization error characterization, and analog-to-digital conversion mechanics are analyzed in detail to clarify how analog signals are discretized into digital bit streams. The balance between quantization resolution, bandwidth, and bit rate constraints is addressed to optimize PCM system design, with applications ranging from audio, speech, image, to digital video signals. Challenges such as bandwidth wastage, quantization noise, and compression needs are also reviewed.