Audio Subband Window Coefficients for Low-Delay Aliasing Control

The patent divides the audio processing into subband channels, where each subband uses a smaller window function with fewer coefficients. This segmentation allows the system to achieve acceptable audio quality in each subband while reducing the overall computational complexity and memory requirements compared to using a single large window function for the entire audio signal.

The patent applies different window function sizes to different subband channels based on their specific requirements. Rather than uniformly applying a large window function across all frequency ranges, the system uses locally optimized window functions that are appropriately sized for each subband, thereby maintaining audio quality where needed while reducing computational burden in other areas.

The patent segments the audio signal into multiple subband channels, each processed with a smaller window function. This segmentation reduces the memory required to store window coefficients from O(N) for a single large window to O(M) for M smaller windows where the sum of their sizes is less than N, thereby reducing memory requirements while maintaining audio quality.

The patent reuses the same small window function across multiple subband channels rather than storing different large window functions for each channel. This copying approach reduces memory requirements by eliminating redundant storage of window coefficients while still achieving good audio quality through the repeated application of the optimized small window function.

The patent compensates for using smaller window functions by segmenting the audio signal into multiple subband channels. The combination of multiple subband processing paths with smaller windows achieves audio quality comparable to or better than a single large window, while maintaining the computational and memory advantages of the smaller window functions.

The patent transitions from a single-dimensional approach (one large window function) to a multi-dimensional approach (multiple small window functions applied across different subband channels). This dimensional change in the processing architecture allows the system to achieve the same or better audio quality through parallel processing while maintaining the computational efficiency of smaller window functions.

The patent processes audio in parallel subband channels, allowing each channel to be processed independently and quickly. This parallel segmentation reduces the overall processing time and delay compared to sequential processing of the entire audio signal, while maintaining audio quality through the combined output of all subband channels.

The patent applies smaller window functions that require fewer processing operations, performing a reduced amount of computation per channel. This partial action approach, when applied across multiple subband channels, achieves acceptable audio quality with significantly reduced computational burden and processing delay, enabling real-time processing.