分段卷積的兩種新方法
TWO NEW METHODS FOR COMPUTATION OF THE SEGMENTATION CONVOLUTION
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摘要: 本文提出了將待卷積兩序列均進(jìn)行分段的兩種分段卷積新方法,使運(yùn)算等待(運(yùn)算輔助)時(shí)間和運(yùn)算周期減小為原值的幾分之一,從而大大減小(輸出)延遲盡快開始輸出過濾點(diǎn),也使整個(gè)處理時(shí)間大大縮短;能大大節(jié)省存儲(chǔ)空間。上述時(shí)間和空間利用上的高效率,對(duì)于長沖激響應(yīng)(高階)濾波器過濾長信號(hào)尤顯突出。此外,不再有原重疊保留法的方法性截尾誤差。
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關(guān)鍵詞:
- 信號(hào)處理; 卷積運(yùn)算; 分段卷積; 沖激響應(yīng)
Abstract: The two new methods presented in this paper is primarily concerned with a new procedure for computation of two sequences, both are scgmented. For long signal and long unit-impulse response filter (high-order filter), they will reduce the waiting time greatly, so that the fikered points will be quickly obtained and total operating time will be saved. Furthermore, they can also save the memory space. So the new methods have the ad-vantage of higher efficiency. Compared with using the traditional overlap-save method, the processing error due to cutting tail will no longer exist by using the new methods. -
A. V. Oppenheim, R. W. Schafer著,董士嘉等譯,數(shù)字信號(hào)處理,1975年,科學(xué)出版社,北京,郝重陽編,數(shù)學(xué)信號(hào)處理,西北工業(yè)大學(xué),1989年.[2]鄒理和,數(shù)字濾波器,國防工業(yè)出版社,1979年,北京.[3]尹述炎,長序列分段線性卷積重疊保留法的進(jìn)一步完善,第一屆全國信號(hào)處理學(xué)術(shù)會(huì)議論文集,1964年,承德,pp. 543-545. -
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