A Novel Hankel Singular Values-Based Order Truncation Approach Applied to SG Filter
Abstract
A novel filter order reduction method based on Hankel singular values is proposed in this article. The weak states of a high order FIR filter having extremely low singular values are truncated to get a significantly low order IIR filter while satisfying the given frequency response specifications. The suggested method is used to design low order hardware efficient Savitzky-Golay (SG) filter for signal smoothening. The effectiveness of proposed method is verified by analyzing its denoising capability on noisy Electrocardiogram (ECG) signals. Various parameters have been used for performance evaluation. Results reveal that the suggested approach leads to a highly simplified and economic design without affecting the denoising performance of the filter. The proposed order reduction technique reduces the amount of hardware components and the amount of power consumed without compromising the integrity of the signal.
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