Multiple Line Coding Schemes Implementation and Analysis

A. Generate a 1000-bit binary random sequence with probability 0.8 for "0" and 0.2 for "1" using binomial distribution simulation B. Perform Return-to-Zero AMI encoding on the generated data with 50% pulse width relative to symbol duration and 8x oversampling rate (8 samples per symbol). Plot the waveform for the first 20 symbols along with displaying the corresponding source bit sequence. Implementation requires pulse shaping with half-width rectangular pulses and proper timing synchronization C. Implement HDB3 coding scheme with violation rule enforcement (replacing sequences of four zeros with special patterns) and plot the waveform for the first 20 symbols. The algorithm must maintain bipolar violation pattern and ensure DC balance D. Apply Miller coding (delay modulation) to the data and generate the waveform for the first 20 symbols. Miller code implementation involves state transitions where bits determine mid-bit transitions and subsequent level changes E. Perform power spectrum estimation using periodogram or Welch's method for all 1000 symbols of each encoded waveform and plot the power spectral density. Frequency analysis should consider the sampling rate and symbol period relationships F. Vary the probability of source bit "0" and observe the changes in AMI code power spectrum characteristics. This involves multiple iterations with different probability parameters to analyze spectral properties dependency on source statistics G. Increase the source sequence length to 2000 bits and repeat steps B-F to observe changes in results and improved statistical reliability of power spectrum estimates H. Implement AMI encoding with different pulse widths (varying duty cycles) and compare both time-domain waveforms and frequency-domain power spectra to analyze bandwidth efficiency trade-offs I. Explore additional coding schemes such as Manchester coding (self-clocking with transitions at every bit period) and differential Manchester coding (transition at beginning of bit period with mid-bit transition for encoding), comparing their advantages and disadvantages against AMI coding in terms of bandwidth requirements, clock recovery capability, and DC balance characteristics