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Continuous Wavelet Decomposition in Real-Time for Multi-Resolution Analysis

Award Information

Department of Defense
Award ID:
Program Year/Program:
1997 / SBIR
Agency Tracking Number:
Solicitation Year:
Solicitation Topic Code:
Solicitation Number:
Small Business Information
Tanner Research Inc.
825 S. Myrtle Ave. Monrovia, CA 91016-3424
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Woman-Owned: Yes
Minority-Owned: No
HUBZone-Owned: No
Phase 1
Fiscal Year: 1997
Title: Continuous Wavelet Decomposition in Real-Time for Multi-Resolution Analysis
Agency / Branch: DOD / NAVY
Contract: N/A
Award Amount: $69,993.00


Wavelet representations of images has proven valuable for Multi-Resolution Analysis, but application of this technique has been limited by the computational requirements of the wavelet transform. The continuous wavelet transform can be formulated as a convolution, with a typical choice for kernel being the second derivative of the Gaussian. Convolving an image with this kernel is the intrinsic property of an analog circuit that can be implemented in a two-dimensional grid. Stimulating this circuit with a two-dimensional signal representing the pixel values of the image will produce an output corresponding to a wavelet decomposition of the image, all in real-time. By varying circuit control signals one achieves a continuous wavelet decomposition for arbitrary scale and shift parameters. Tanner Research proposes to develop an analog VLSI integrated circuit, the Real-Time Wavelet Transformer, for use in Multi-Resolution Analysis. It will accept input images and produce wavelet decompositions at video frame rates. Our revolutionary circuit concepts are efficiently implemented in analog VLSI, producing a Rcompact, high performance, low power signal processing component for desk-top and embedded image analysis applications. In Phase I we will design and fabricate an integrated circuit that will produce wavelet decompositions in real-time.

Principal Investigator:

Thomas Bartolac, Ph.d.

Business Contact:

Small Business Information at Submission:

Tanner Research, Inc.
180 North Vinedo Ave. Pasadena, CA 91107

Number of Employees:
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No