Finite word-length effects of an unified systolic array for 2-D DCT/IDCT

H. Lim; Ch Yim; E. E. Swartzlander

Finite word-length effects of an unified systolic array for 2-D DCT/IDCT

H. Lim
, Ch Yim
, E. E. Swartzlander

Electronic and Electrical Engineering

Research output: Contribution to conference › Paper › peer-review

2 Scopus citations

Abstract

This paper presents a fixed-point error analysis for the unified systolic array implementation of 2-dimensional (2-D) discrete cosine transform (DCT) and 2-D inverse discrete cosine transform (IDCT). Closed form expressions for the mean and variance of fixed-point rounding-errors and truncation-errors are derived. Simulation results are provided to verify the analysis. Simulations designed to find the minimum word-length which satisfies IEEE requirements for the implementation of an 8×8 IDCT are also performed. Simulation results show that the proposed systolic array is more robust for the fixed-point error than other existing implementations for DCT/IDCT.

Original language	English
Pages	35-44
Number of pages	10
State	Published - 1996
Event	Proceedings of the 1996 International Conference on Application-Specific Systems, Architectures and Processors - Chicago, IL, USA Duration: 19 Aug 1996 → 21 Aug 1996

Conference

Conference	Proceedings of the 1996 International Conference on Application-Specific Systems, Architectures and Processors
City	Chicago, IL, USA
Period	19/08/96 → 21/08/96

Cite this

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title = "Finite word-length effects of an unified systolic array for 2-D DCT/IDCT",

abstract = "This paper presents a fixed-point error analysis for the unified systolic array implementation of 2-dimensional (2-D) discrete cosine transform (DCT) and 2-D inverse discrete cosine transform (IDCT). Closed form expressions for the mean and variance of fixed-point rounding-errors and truncation-errors are derived. Simulation results are provided to verify the analysis. Simulations designed to find the minimum word-length which satisfies IEEE requirements for the implementation of an 8×8 IDCT are also performed. Simulation results show that the proposed systolic array is more robust for the fixed-point error than other existing implementations for DCT/IDCT.",

author = "H. Lim and Ch Yim and Swartzlander, \{E. E.\}",

year = "1996",

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note = "Proceedings of the 1996 International Conference on Application-Specific Systems, Architectures and Processors ; Conference date: 19-08-1996 Through 21-08-1996",

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TY - CONF

T1 - Finite word-length effects of an unified systolic array for 2-D DCT/IDCT

AU - Lim, H.

AU - Yim, Ch

AU - Swartzlander, E. E.

PY - 1996

Y1 - 1996

N2 - This paper presents a fixed-point error analysis for the unified systolic array implementation of 2-dimensional (2-D) discrete cosine transform (DCT) and 2-D inverse discrete cosine transform (IDCT). Closed form expressions for the mean and variance of fixed-point rounding-errors and truncation-errors are derived. Simulation results are provided to verify the analysis. Simulations designed to find the minimum word-length which satisfies IEEE requirements for the implementation of an 8×8 IDCT are also performed. Simulation results show that the proposed systolic array is more robust for the fixed-point error than other existing implementations for DCT/IDCT.

AB - This paper presents a fixed-point error analysis for the unified systolic array implementation of 2-dimensional (2-D) discrete cosine transform (DCT) and 2-D inverse discrete cosine transform (IDCT). Closed form expressions for the mean and variance of fixed-point rounding-errors and truncation-errors are derived. Simulation results are provided to verify the analysis. Simulations designed to find the minimum word-length which satisfies IEEE requirements for the implementation of an 8×8 IDCT are also performed. Simulation results show that the proposed systolic array is more robust for the fixed-point error than other existing implementations for DCT/IDCT.

UR - https://www.scopus.com/pages/publications/0029773128

M3 - Paper

AN - SCOPUS:0029773128

SP - 35

EP - 44

T2 - Proceedings of the 1996 International Conference on Application-Specific Systems, Architectures and Processors

Y2 - 19 August 1996 through 21 August 1996

ER -

Finite word-length effects of an unified systolic array for 2-D DCT/IDCT

Abstract

Conference

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