Local Center-of-Gravity Frequency Estimation With Adaptive Spectral Resolution
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Solution Overview
Problem
Current audio signal processing techniques face challenges in efficiently determining local center of gravity frequencies, particularly in complex music compositions, leading to high computational complexity and inadequate spectral resolution.
Innovation Solution
An apparatus and method that iteratively determine offset frequencies for a reduced number of iteration start frequencies, reducing computational complexity by updating these frequencies until a predefined condition is met, allowing for efficient estimation of local center of gravity frequencies.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional methods are used to determine local center-of-gravity frequencies by analyzing all discrete sample values of the spectrum, then accurate frequency determination is achieved, but computational complexity becomes excessively high
Solution Approach 1:
The spectrum is divided into multiple sections, each analyzed independently to determine local center-of-gravity frequencies. This segmentation reduces the computational burden by processing smaller subsets of spectral data rather than analyzing all discrete sample values simultaneously, while maintaining accurate frequency determination through focused local analysis.
2Measurement precision
If the number of iteration start frequencies is increased to match the number of discrete sample values, then spectral resolution is improved, but processing time and computational resources increase significantly
Solution Approach 1:
Instead of analyzing all discrete sample values, the method selectively processes a reduced set of iteration start frequencies that are sufficient to capture the essential spectral features. This partial action approach achieves adequate spectral resolution for practical applications while dramatically reducing processing time and computational resource requirements.
3Adaptability or versatility
If fixed spectral resolution is used across all frequency ranges, then processing simplicity is maintained, but adaptability to different signal characteristics is reduced
Solution Approach 1:
The spectral resolution is made adaptive by allowing different resolution levels in different frequency regions based on the local signal characteristics. This local quality approach enables the system to automatically adjust the number of iteration start frequencies and sectioning parameters according to the specific signal being analyzed, improving versatility without requiring complex manual parameter adjustment.
Data Source
AI summary
An apparatus for determining a plurality of local center of gravity frequencies of a spectrum of an audio signal includes an offset determiner, a frequency determiner and an iteration controller. The offset determiner determines an offset frequency for each iteration start frequency of a plurality of iteration start frequencies based on the spectrum of the audio signal, wherein a number of discrete sample values of the spectrum is larger than a number of iteration start frequencies. The frequency determiner determines a new plurality of iteration start frequencies by increasing or reducing each iteration start frequency of the plurality of iteration start frequencies by the corresponding determined offset frequency. The iteration controller provides the new plurality of iteration start frequencies to the offset determiner for further iteration or provides the plurality of local center of gravity frequencies, if a predefined termination condition is fulfilled. The plurality of local center of gravity frequencies can be utilized as a basis for generating a new plurality of iteration start frequencies.