Alin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li, Guoce Xin INRIA, Palaiseau, 91120, (France) Department of Mathematics, NCSU, Raleigh, 27695-8025, (USA) KLMM, AMSS, Chinese Academy of Sciences, Beijing 100190, (China) Department of Mathematics, Capital Normal University, Beijing 100048, (China) [email protected], {alin.bostan, frederic.chyzak}@inria.fr [email protected], [email protected]

A recently rediscovered sound synthesis method, which is based on feedback amplitude modulation (FBAM), is investigated. The FBAM system is interpreted as a periodically linear time-varying digital filter, and its stability, aliasing, and scaling properties are considered. Several novel variations of the basic system are derived and analyzed. Separation of the input and the modulation signals i...

The simplest type of digital modulation involves transmitting a sequence of waveforms (“symbols”) si(t) of equal durationT where eachwaveform is chosen independently from a set of M. This allows us to transmit up to b = log2(M) bits per symbol. A common sets of such symbols are those where the real and imaginary parts of the complex baseband signal are each modulated in amplitude. This known as...