481 Stochastic Multiplier, Adder and Self-Multiplier :: Quicker, easier and cheaper to make your own chip!

How it works

REFERENCES USED

General Stochastic Computing Design:

[1] A. Alaghi, W. Qian, and J. P. Hayes, “The Promise and Challenge of Stochastic Computing,” IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., vol. 37, no. 8, pp. 1515–1531, Aug. 2018, doi: 10.1109/TCAD.2017.2778107.

[2] B. R. Gaines, “Stochastic computing,” in Proceedings of the April 18-20, 1967, spring joint computer conference, in AFIPS ’67 (Spring). New York, NY, USA: Association for Computing Machinery, Apr. 1967, pp. 149–156. doi: 10.1145/1465482.1465505.

[3] Gross, W. J., & Gaudet, V. C. (Eds.). (2019). Stochastic Computing: Techniques and Applications (1st ed. 2019.). Springer International Publishing. https://doi.org/10.1007/978-3-030-03730-7

[4] Qian, W. (2011). Digital yet deliberately random: Synthesizing logical computation on stochastic bit streams (Order No. 3466985). Available from ProQuest Dissertations & Theses Global: The Sciences and Engineering Collection. (885872145). Retrieved from http://search.proquest.com.libaccess.sjlibrary.org/dissertations-theses/digital-yet-deliberately-random-synthesizing/docview/885872145/se-2

LFSR Design in Stochastic Computing:

[5] Jason H. Anderson, Yuko Hara-Azumi, and Shigeru Yamashita. 2016. Effect of LFSR seeding, scrambling and feedback polynomial on stochastic computing accuracy. In Proceedings of the 2016 Conference on Design, Automation & Test in Europe (DATE '16). EDA Consortium, San Jose, CA, USA, 1550–1555. https://dl.acm.org/doi/abs/10.5555/2971808.2972171

Digital QIF neuron:

[6] E. J. Basham and D. W. Parent, "Compact digital implementation of a quadratic integrate-and-fire neuron," 2012 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, San Diego, CA, USA, 2012, pp. 3543-3548, doi: 10.1109/EMBC.2012.6346731.

keywords: {Mathematical model;Clocks;Equations;Vectors;Computational modeling;Field programmable gate arrays;Neurons},

How to test

Input 2 repeating streams of 9 bits (+1 bit buffer) that represent the numbers to be multiplied/added. The self multiplier only processes input from the 1st stream. Read the serial output result, which is also 9bits (+1 bit buffer).

External hardware

ADALM2000

#	Input	Output
0	serial_input_1	serial_output_mul
1	serial_input_2	serial_output_add
2		serial_output_smul
3		clk_counter_reset
4
5
6
7

481 Stochastic Multiplier, Adder and Self-Multiplier