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A novel DDS using nonlinear ROM addressing with improved compression ratio and quantization noise.

Lakshmi S Jyothi Chimakurthy¹, Malinky Ghosh, Fa Foster Dai

¹Department of Electrical and Computer Engineering, Auburn University, Auburn, AL 36849-5201, USA.

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

|March 15, 2006

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This study introduces a new method to compress Read-Only Memory (ROM) for direct digital frequency synthesis (DDFS). The technique significantly reduces ROM size while maintaining high performance, offering a more efficient digital signal processing solution.

Area of Science:

Electrical Engineering
Digital Signal Processing

Background:

Direct Digital Frequency Synthesis (DDFS) architectures often require large Read-Only Memory (ROM) to store sinusoidal waveforms.
Efficient ROM compression is crucial for reducing hardware complexity and power consumption in DDFS systems.

Purpose of the Study:

To present a novel ROM compression technique for DDFS based on the piecewise linear approximation and slope variation properties of a sine function.
To develop a DDFS architecture that significantly reduces ROM size while maintaining a comparable spurious response to existing methods.

Main Methods:

Approximation of a sinusoid using a piecewise linear technique.
Utilizing the variation in the slope of the sinusoid at different phase angles for adaptive interpolation.
Implementing linear and nonlinear addressing schemes for calculating interpolation points.

Related Experiment Videos

Comparing the spurious performance of the proposed DDFS architecture against conventional and linear ROM architectures using FPGAs.

Main Results:

Achieved a high ROM compression ratio through an adaptive nonlinear addressing scheme.
The proposed DDFS architecture demonstrated a spurious response comparable to recent ROM compression techniques.
FPGA implementation validated the effectiveness of the proposed technique.

Conclusions:

The novel DDFS ROM compression technique effectively reduces memory requirements.
The method offers a practical solution for developing more compact and efficient DDFS systems.
The adaptive nonlinear addressing scheme is key to achieving significant ROM size reduction.