کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7124994 1461529 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integrating time signals in frequency domain - Comparison with time domain integration
ترجمه فارسی عنوان
ادغام سیگنال های زمان در دامنه فرکانس - مقایسه با ادغام دامنه زمان
کلمات کلیدی
ادغام، پردازش سیگنال، دامنه فرکانس، پنجره همپوشانی اضافه کردن، سری زمانی،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
چکیده انگلیسی
Integrating sampled time signals is a common task in signal processing. In this paper we investigate the performance of two straightforward integration methods: (i) integration in the frequency domain by a discrete Fourier transform (DFT), division by jω followed by inverse DFT (IDFT) back to the time domain, and (ii) a method using a weighted overlap-add (WOLA) technique which is developed in the paper. These two methods are compared with two time domain methods: (a) the trapezoidal rule, and (b) an optimized IIR filter. It is shown that the intuitive method of a straightforward DFT/IDFT is a very good method which is recommended for data lengths exceeding 16 K samples, provided data are short enough to allow a single DFT. The IIR filter integration is shown to have very similar accuracy and can also be recommended. The WOLA integration method is shown to perform well in most cases for steady-state conditions. For cases with short transients it should, however, be avoided. A signal integrated by the WOLA method is further shown to be incoherent with the signal before integration. This suggests that the WOLA method should be avoided in cases where coherence between the signals before and after integration is important. It is also demonstrated by a simulation example that integration by the trapezoidal rule should be avoided, as it gives biased results, particularly for higher frequencies.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Measurement - Volume 58, December 2014, Pages 511-519
نویسندگان
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