Howtosignalprocessing
- What is the relation between multiplication of DFTs of two sequences and circular convolution of those sequences?
- Is multiplication the same as convolution?
- Is multiplication of two sequences is same as convolution of two sequences?
- How multiplication and convolution are related to each other in frequency domain?
What is the relation between multiplication of DFTs of two sequences and circular convolution of those sequences?
It means that multiplication of two sequences in time domain results in circular convolution of their DFT s in frequency domain. It means that the sequence is circularly folded its DFT is also circularly folded.
Is multiplication the same as convolution?
Algebraically, convolution is the same operation as multiplying polynomials whose coefficients are the elements of u and v . w ( k ) = ∑ j u ( j ) v ( k − j + 1 ) .
Is multiplication of two sequences is same as convolution of two sequences?
This property states that multiplication of two DFTs is equivalent to circular convolution of their sequences in time domain. This means multiplication of two sequences in time domain results in circular convolution of their DFTs in frequency domain.
How multiplication and convolution are related to each other in frequency domain?
We know that a convolution in the time domain equals a multiplication in the frequency domain. In order to multiply one frequency signal by another, (in polar form) the magnitude components are multiplied by one another and the phase components are added. NFFT = 32; freqdata1 = fft(Signal1,NFFT);
