An Optimal Information-theoretic Design of Myoelectric Prosthetic Under BPSK Modulation
School Name
Spring Valley High School
Grade Level
10th Grade
Presentation Topic
Mathematics
Presentation Type
Non-Mentored
Written Paper Award
2nd Place
Abstract
Myoelectric prosthetics are a relatively modern technology where hand movements are determined by electrical signals sent my muscles in the upper arm. While extremely promising, little progress has been made in the way of efficiency. The goal of this experiment was to determine whether Reed Solomon or Hadamard error correcting codes were more efficient at reducing errors caused during the functioning of a 20-state myoelectric prosthetic. It was hypothesized that Reed Solomon codes would perform better than Hadamard codes because of less excessive usage of checksum bits in a channel with relatively low noise. Each of the 20 states of the prosthetic were assigned a binary representation based on frequency using Huffman Compression. Mathematica was then used to simulate the effect errors had on the number of bits necessary for accurate transmission within the AWGN channel. Errors were given a binomial distribution, with variance related to entropy of the system and mean directly related to the bit error rate. Data is presented as mathematical truth, and there are no significance tests. It was determined that the hypothesis was correct. Reed Solomon codes were more efficient than Hadamard codes at all signal to noise ratios (SNR). Their efficiency, in comparison to the Hadamard codes, improved as SNR increased. The control also proved more efficient than Hadamard codes after SNR exceeded 0.4. In particular, if a crude myoelectric prosthetic were used, it would be prudent to use Reed Solomon codes rather than Hadamard codes are none at all.
Recommended Citation
De, Sparsho, "An Optimal Information-theoretic Design of Myoelectric Prosthetic Under BPSK Modulation" (2019). South Carolina Junior Academy of Science. 45.
https://scholarexchange.furman.edu/scjas/2019/all/45
Location
Founders Hall 140 B
Start Date
3-30-2019 9:15 AM
Presentation Format
Oral and Written
Group Project
No
An Optimal Information-theoretic Design of Myoelectric Prosthetic Under BPSK Modulation
Founders Hall 140 B
Myoelectric prosthetics are a relatively modern technology where hand movements are determined by electrical signals sent my muscles in the upper arm. While extremely promising, little progress has been made in the way of efficiency. The goal of this experiment was to determine whether Reed Solomon or Hadamard error correcting codes were more efficient at reducing errors caused during the functioning of a 20-state myoelectric prosthetic. It was hypothesized that Reed Solomon codes would perform better than Hadamard codes because of less excessive usage of checksum bits in a channel with relatively low noise. Each of the 20 states of the prosthetic were assigned a binary representation based on frequency using Huffman Compression. Mathematica was then used to simulate the effect errors had on the number of bits necessary for accurate transmission within the AWGN channel. Errors were given a binomial distribution, with variance related to entropy of the system and mean directly related to the bit error rate. Data is presented as mathematical truth, and there are no significance tests. It was determined that the hypothesis was correct. Reed Solomon codes were more efficient than Hadamard codes at all signal to noise ratios (SNR). Their efficiency, in comparison to the Hadamard codes, improved as SNR increased. The control also proved more efficient than Hadamard codes after SNR exceeded 0.4. In particular, if a crude myoelectric prosthetic were used, it would be prudent to use Reed Solomon codes rather than Hadamard codes are none at all.
