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Integer lapped transforms and their applications to image coding.

W C Fong1, S C Chan, Arumugam Nallanathan

  • 1Dept. of Electr. and Electron. Eng., Hong Kong Univ., Hong Kong.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 6, 2008
PubMed
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New integer approximations of lapped transforms (ILT) offer efficient image coding. These integer lapped transforms achieve performance comparable to real-valued versions with significantly reduced computational complexity.

Area of Science:

  • Digital Signal Processing
  • Image Processing
  • Transform Coding

Background:

  • Lapped transforms (LOT, LBT, HLBT) are crucial for image coding.
  • Real-valued transforms require complex arithmetic operations.
  • Efficient integer approximations are needed for hardware implementation.

Purpose of the Study:

  • To introduce integer approximations of lapped transforms (ILT).
  • To evaluate the performance of ILTs in image coding applications.
  • To develop multiplier-less ILTs for reduced complexity.

Main Methods:

  • Derivation of ILTs from orthogonal sinusoidal transforms with integer coefficients.
  • Development of integer versions of LOT, LBT, and HLBT.
  • Representation of integer coefficients using sum of powers-of-two (SOPOT) for multiplier-less implementation.

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Main Results:

  • ILT with 5-bit integer coefficients show performance similar to real-valued counterparts (within 0.06 dB coding gain).
  • Multiplier-less ILTs achieve very low implementation complexity.
  • Specific examples: 8-channel ILOT (90 additions, 44 shifts), ILBT (98 additions, 59 shifts), IHLBT (70 additions, 38 shifts).

Conclusions:

  • Integer Lapped Transforms (ILT) provide an efficient alternative to real-valued transforms for image coding.
  • The proposed ILTs maintain high coding performance with significantly reduced computational cost.
  • Multiplier-less implementations further enhance efficiency, making them suitable for resource-constrained environments.