November 2010
Intermediate to advanced
288 pages
8h 34m
English
book
Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation
by C. Britton Rorabaugh
Content preview from Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation
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Note 35. Designing FIR Filters: Basic Window Method
The window method of FIR design is based on the fact that the frequency response of a digital filter is periodic, and therefore can be represented as a Fourier series. A template for the desired frequency response is selected and expanded as a Fourier series. This expansion is then truncated to finite-number terms by multiplying the sequence of Fourier series coefficients with a sequence of samples obtained from a time-limited window function. The resulting finite sequence of terms is then used as the coefficients for an FIR filter. This filter has a frequency response that approximates the original desired response. When a rectangular window is used to truncate the coefficient sequence, the ...
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