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The flooding belief propagation (FO-BP) and the soft-cancelation (SCAN) algorithms are the two most popular soft-output BP algorithms for the decoding of capacity-achieving polar codes. The FO-BP algorithm has high throughput at the cost of performance degradation in high signal-to-noise ratio (SNR) region or with large block length. The SCAN algorithm has much better decoding performance while suffering...
The belief propagation (BP) decoding algorithm not only is an alternative to the successive cancelation (SC) decoders of polar codes, but also provides soft outputs that are necessary for joint detection and decoding. The BP decoders with the flooding schedule achieve high throughput with excessive hardware cost especially when the block length is large. The soft-cancelation (SCAN) decoders for polar...
Among various discrete transforms, discrete Fourier transformation (DFT) is the most important technique that performs Fourier analysis in various practical applications, such as digital signal processing, wireless communications, to name a few. Due to its ultra-high computing complexity as O(N2), in practice the N-point DFT is usually performed in the form of fast Fourier transformation (FFT) with...
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