Filtering spectrum using FIR filters

Posted by Alex Hoppus on Stack Overflow See other posts from Stack Overflow or by Alex Hoppus
Published on 2012-10-27T20:29:00Z Indexed on 2012/10/27 23:01 UTC
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If i have signal values x[T] and filter coefficients b[i], i can perform filtering using convolution. enter image description here

Suppose i have spectrum of x (after FFT) and i need to perform filtering using filters coefficients, how can i perform this? I heard that in frequency domain it will be multiplying, rather than convolution (time domain). But i can't find an equation to use it. I have 614000 values in y = fft(x[T]) vector and 119 filter coefficients (generated using fdatool), i can't multiply them directly ... Thanks.

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