On-line block pulse implementation of a sine wave using microprocessor

The present work uses a microprocessor and relevant hardware to express an integrable time-varying function, e.g., a sine wave, received as an on-line signal, in terms of equivalent block pulse functions (BPFs). The BPF coefficients, determined via experiments are employed for reconstruction of the original time signal. Two alternative methods have been adopted for practical implementation: (i) method of integration and (ii) method of sampling. BPF coefficients, determined experimentally, are compared with those obtained via exact computation. From the computed BPF coefficients, Haar spectral coefficients are determined using similarity transformation. Again, the average values, RMS values and form factors are calculated for exact and BPF approximated sine waves for comparison and relative accuracy. Relevant tables are presented to assess comparative usefulness of the work.

► Block pulse functions and Haar wavelet functions are suitably used for function approximation.
► An on-line sine wave is reproduced via block pulse using a microprocessor and related hardware by two different methods.
► Similarity transformations are employed to represent the function in Haar domain.
► Average values, rms values and form factors of the approximated waves are compared with the original sine wave.
► Mean integral square errors are also compared.