Time Encoding of Analog Signals
This Demonstration illustrates the process of time-encoding an analog signal. With the integrate-and-fire (IAF) encoding method, the given analog signal is accepted by a neuron until it reaches a set threshold. At this point, the neuron fires, producing a spike. Thus, when the analog signal input is stronger, spikes are emitted more frequently. This sequence of spikes is the time-encoded form of the original analog signal, and in fact it encodes all information about the analog signal as long as it is a band-limited signal. With the asynchronous sigma-delta modulator (ASDM) encoding method, the output is instead a modulated signal dependent on the amplitude of the initial analog signal. Manipulating the starting time of the encoding shows that the same analog signal has completely different time encodings depending upon the range of time over which the signal is encoded.
This Demonstration was based on  and inspired by the Bionet Laboratory's Time Encoding and Decoding Toolbox . The first two sample analog functions, and , are the seventh-degree Chebyshev polynomial and , respectively.
Snapshot 1: encoding of sample function via an ASDM
Snapshot 2: encoding of over a limited domain via an ASDM
Snapshot 3: encoding of sample function via an IAF
 A. A. Lazar, "A Simple Model of Spike Processing," Neurocomputing, 69, June 2006 pp. 1081–1085. http://www.sciencedirect.com/science/journal/09252312.
 L. Givon, Time Encoding and Decoding Toolbox Documentation. (June 2010) bionet.ee.columbia.edu/code/ted.