Hi btdvox.
The Fusion has 120 MB of sampled wave ROM, just so you know.
FM (Frequency Modulation) synthesis: This type of synthesis was developed in the 1970's but wasn't seriously implemented until the Yamaha DX-7 was released in the early 1980's. It is both theoretically and functionally more complex than both analog synthesis and sample playback synthesis. The basic idea is that you have a "Carrier" waveform (sine, square, triangle, whatever) and one or more "Operator" waveforms (sine, square, triangle, etc). You modulate the frequency of the Carrier wave using the amplitude of the Operator waves. Using filter and amplifier envelopes, some very interesting sounds can be attained.
Analog Modeling synthesis: This is a type of Physical Modeling synthesis, limited to emulating electronic circuits rather than physical instruments. Analog Modeling synthesis uses mathematical equations to represent the way electricity flows through various electronic components. By mathematically representing the design of a real analog (electronic) synthesizer such as a Moog, the sounds produced by the Analog Modeling synth will sound almost identical to an electronic instrument using real electronic components to create the sounds (such as capacitors, resistors, transistors, etc).
Physical Modeling synthesis: (This form of synthesis is included in the Fusion as well). Physical Modeling uses mathematical formulas to represent the physical behavior of real instruments (usually wind instruments as they are easier to represent mathematically than other instruments). There are not many electronic instruments that use this synthesis method, primarily due to the high speed processing that is required, meaning high cost and low profit for manufacturers. Yamaha was one of the first to implement it in a synthesizer with the VL-1. Roland uses Physical Modeling for their COSM effects processors as well as for some aspects of their V-According.
Sample Playback synthesis: Almost all modern synthesizers use this method of synthesis because of its value. Very good sounds can be produced at a very low cost to the manufacturer. This method of synthesis basically plays back recorded sounds and controls volume with an amplifier envelope and can apply filtering with a filter envelope. All of Roland's music workstations use Sample Playback synthesis (including the Fantom-X). Artemio's comments about emulating an analog synthesizer are correct. You can simulate the behavior of an analog synth (or analog modeled synth) using various techniques within the Fantom synthesizer engine. The Fantom also includes a "mono synth" attached to the D-Beam. It is an analog modeled synth (monophonic) but cannot be controlled by the keyboard and seems more of a gimmick than anything very useful, unless you are VERY accurate with your D-Beam usage.
Regards,
Nathan Sheldon
http://www.nathansheldon.com/