Build a LabVIEW subVI to implement the error detection and correction mechanism for the (n,k) Hamming linear block code channel decoder.
A description of some strategies for minimizing there errors in a transmitted bit-stream.
This course introduces the theory of error-correcting codes to computer scientists. This theory, dating back to the works of Shannon and Hamming from the late 40's, overflows with theorems, techniques, and notions of interest to theoretical computer scientists. The course will focus on results of asymptotic and algorithmic significance. Principal topics include: Construction and existence results for error-correcting codes. Limitations on the combinatorial performance of error-correcting codes. Decoding algorithms. Applications in computer science.
Build a LabVIEW subVI to create the generator matrix (G matrix) for the (n,k) Hamming linear block code.
Build a LabVIEW subVI to generate the (n,k) parameters for a Hamming linear block code given the exponent q. Also calculate the coding rate.
Build a LabVIEW subVI to multiply two matrices A and B under modulo-2 arithmetic.
Build a LabVIEW subVI to create the parity check matrix (H matrix) for the (n,k) Hamming linear block code.
You will apply the fast Fourier transform (FFT) to analyze the spectral content of an input signal in real time. You will use a length-64 Hamming window and no zero-padding. After computing the FFT, you will compute the squared-magnitude of the sampled spectrum and send it to the output for display on the oscilloscope.
You will investigate the effects of windowing and zero-padding on the Discrete Fourier Transform of a signal, as well as the effects of data-set quantities and weighting windows used in Power Spectral Density estimation.
You will investigate the effects of windowing and zero-padding on the Discrete Fourier Transform of a signal.
Build a LabVIEW subVI to create the syndrome table for the (n,k) Hamming linear block code channel decoder.
This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic.
