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1-D DCT 專題

1-D DCT 專題. 分散式算術 (Distributed Arithmetic: DA) 1-D DCT Design. 1-D DCT 專題. 分散式算術 Distributed Arithmetic (DA). Often used for inner products , e.g. DCT. Multiple-In Multiple-Out (MIMO). Multiple-In Single-Out (MISO). Inner products c i are M-bit constants and x i are W-bit numbers.

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1-D DCT 專題

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  1. 1-D DCT 專題

  2. 分散式算術 (Distributed Arithmetic: DA) • 1-D DCT Design 1-D DCT 專題

  3. 分散式算術Distributed Arithmetic (DA)

  4. Often used for inner products, e.g. DCT Multiple-In Multiple-Out (MIMO)

  5. Multiple-In Single-Out (MISO) • Inner products • ci are M-bit constants and xi are W-bit numbers

  6. N=3, W=3

  7. Multiple-In Single-Out (MISO) Y

  8. Multiple-In Multiple-Out (MIMO)

  9. 1-D DCT Design

  10. Simplified 1-D DCT Algorithm Where {y(n), n = 0, 1, …., N-1} : input sequence CNnk (i.e., ) : coefficients

  11. 1-D DCT Algorithm & MAC Architecture

  12. 1-D DCT Algorithm & MAC Architecture (cont.) • 乘法器及累加器位元數目之決定 • 每經過一個 clock完成一次MAC運算

  13. 1-D DCT Algorithm & DA Architecture

  14. 1-D DCT ROM-based DA Architecture (cont.)

  15. ROM-based DA 1-D DCT Architecture (cont.) 因為DCT點數與輸入資料位元數相同 ?

  16. Design for Control

  17. Input Buffer and Output Buffer • Input Buffer • Word-level SIPO • Output Buffer • Word-level PISO

  18. Word Parallel-In and Bit Serial-Out (PISO) for DA input

  19. ROM-based DA Design for Inner Product

  20. 參考資料 • Stanley A. White, “Application of Distributed Arithmetic to Digital Signal Processing: A Tutorial Review,” IEEE ASSP Magazine, pp. 4-18, 1989.

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