An Additive Sound Synthesis Module in VHDL

An additive sound synthesis module in VHDL
	Cyclone 2 from Gleichmann Research 23 wave forms 60 MHz 24kHz bandwidth	This is my module for additive sound synthesis. The waves are constructed by adding many pure sine waves of different frequencies and volumes. Each individual sine wave produces a pure tone without any overtones. According to Fourier, any complex oscillation can be synthesised in this way. Altera Cyclone 2 System Additive Synthesis Module This module is based on additive sound synthesis. Several sine waves, matching the intended generator frequency, are generated and additively superimposed. The principle corresponds to the Fourier and Laplace analysis, according to which it is possible to generate practically any waveform from simple sine waves. The first module was used in an industrial application to generate and modify multiple waveforms in parallel in real time. It can be used for sound synthesis with slight changes by e.g. band limiting to 24kHz. With other minor changes, it can be used as a LaPlace waveform generator to generate band-limited triangles and rectangles as test signals for audio circuits. Up to 23 waves can be generated in a VHDL module that is available online. The module works up to 60 MHz and runs on a current Cyclone II FPGA chip. Example 1 To shun issues with alias frequencies in audio systems with limited sample rate, pseudo rectangular waves can be used by super imposing those harmonics which are still below nyquists frequency. band limited rectangle built with sine waves Example 2 To create so-called flat-top square waves that approximate hard-constrained waveforms and maximize the energy of the signal at a given amplitude, the coefficients can be optimized to produce very little oscillation and a broad plateau. Even mathematically strictly monotonic waves with only one inflection point are possible this way. Such waves can be used, for example, in motors and other actuators. This approach is of interest for musical applications because it allows specific inharmonic waves, such as the 7th, 11th and 13th, to be deliberately omitted. optimized band limited flat top waves built with sine waves Wave Generation Virtual oscillators are used to generate the sine waves. Timing Simulation with Mentor ModelSIM simulation tool Analysis Graphical Spectrum Analyzer Application with analog VGA