Digital Frequency Comb Generation With Single-LUT Control
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Solution Overview
Problem
Current methods for generating frequency combs digitally are complex, inflexible, and require multiple lookup tables or CORDIC algorithms, making them unsuitable for generating frequency combs with variable characteristics.
Innovation Solution
A variable frequency comb generator that uses a single lookup table or CORDIC algorithm in combination with a universal digital filter to process a sine wave, allowing for the generation of frequency combs with desired characteristics by selecting sampling rate, increment, and mixer frequency, using a universal differential equation to implement a digital difference equation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If multiple lookup tables or CORDIC algorithms are used for each frequency tooth, then frequency comb generation accuracy is improved, but device complexity increases
Solution Approach 1:
The patent combines multiple frequency generation functions into a single lookup table that stores composite waveforms containing multiple frequency components. Instead of using separate lookup tables or CORDIC algorithms for each frequency tooth, the system uses one unified lookup table that generates all frequency components simultaneously through waveform combination techniques.
Solution Approach 2:
The single lookup table is designed to serve multiple functions by storing pre-computed composite waveforms that contain multiple frequency teeth. This universal approach allows the same hardware structure to generate frequency combs with different characteristics by simply changing the lookup table contents rather than adding more computational resources.
2Adaptability or versatility
If multiple lookup tables or CORDIC algorithms are implemented, then frequency comb generation capability is improved, but ease of manufacture deteriorates
Solution Approach 1:
The patent merges multiple frequency generation capabilities into a single lookup table structure, reducing the number of hardware components that need to be manufactured and assembled. This consolidation maintains the ability to generate complex frequency combs while significantly simplifying the manufacturing process.
Solution Approach 2:
The system achieves adaptability through parameter changes in the lookup table contents rather than hardware modifications. By changing the stored waveform data, the system can generate different frequency combs with varying characteristics, maintaining versatility without increasing manufacturing complexity.
3Device complexity
If a single lookup table or CORDIC algorithm is used, then device complexity is reduced, but frequency comb generation flexibility deteriorates
Solution Approach 1:
The patent compensates for the simplicity of using a single lookup table by implementing flexible parameter control mechanisms. The system allows dynamic adjustment of frequency comb characteristics (starting frequency, spacing, number of teeth) through parameter settings that control how the lookup table data is processed and combined, maintaining high adaptability with minimal hardware complexity.
Solution Approach 2:
The system introduces dynamic control over the frequency comb generation process by allowing real-time modification of generation parameters such as sampling rate, increment values, and mixer frequencies. This dynamic capability enables the simple single lookup table structure to produce a wide variety of frequency comb configurations on demand.
Data Source
AI summary
A method and apparatus for generating a frequency comb. A sine wave comprising samples is generated at a selected sampling rate and a selected increment corresponding to a number of samples for a period of the sine wave using a lookup table or a CORDIC algorithm. The sine wave is processed by a universal differential equation to generate the frequency comb. Characteristics of the frequency comb generated from the sine wave are controlled by changing the sampling rate and the increment.