Synthesis of Steady-State Signal Components by an All-Digital System

Various algorithms for generating steady state signals by an all- digital synthesizing system are presented and analyzed. The emphasis is on evaluating the results obtained with synthesis algorithms which employ approximations or short-cuts to decrease implementation costs. Algorithms for generating both broadband and discrete or narrowband signal components using Fast Fourier Transform FFT techniques are investigated, and the output spectra for the approximate techniques are derived and compared to the spectra obtained with direct approaches. Finally an algorithm for the generation of arbitrary periodic signals in the time domain is presented and the spectrum of its output derived.