Generation of 16QAM Baseband Signals with Real-Number Interpolation

In this task, we will implement a MATLAB program to generate 16QAM baseband signals with real-number interpolation. The system design targets a symbol rate of 1 MSymbol/s using root-raised cosine (RRC) pulse shaping with a roll-off factor of 0.5. The implementation involves generating a pseudo-random sequence {…1, 0, 1, 1,…} and processing it through constellation mapping, 4x shaping filter, FIR half-band filtering, and real-number interpolation filtering. The final output will demonstrate 4.315x time-domain and frequency-domain responses. The technical implementation includes several key MATLAB components: using rcosdesign function for RRC filter creation, implementing qammod for 16QAM constellation mapping, designing FIR filters with firhalfband function, and performing interpolation using upfirdn or resample functions. The pseudo-random sequence generation will utilize randi or randsrc functions with specified symbol patterns. Next, we will analyze the time-domain and frequency-domain characteristics of the signal sequence at each filtering stage. We will employ professional MATLAB tools and signal processing techniques including fft for frequency analysis, stem plots for discrete time-domain visualization, and spectrum analyzers for detailed frequency response examination. These analytical results will provide deep insights into signal characteristics and transformations through different filter stages, offering fundamental understanding of key concepts in digital signal processing for future research and practical applications.