Frequency domain multiplication

1. How do you multiply in the frequency domain?
2. What is frequency domain operations?
3. What is frequency domain equation?
4. Why do we use convolution and multiplication?

How do you multiply in the 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);

What is frequency domain operations?

In physics, electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time.

What is frequency domain equation?

X[·] will be called the frequency domain representation, while the original signal x[·] will be called the time domain representation. The term “time domain” refers to the fact that when describing the values of x[·] directly, we simply give the values of x[n] where n = 0, 1 denotes time.

Why do we use convolution and multiplication?

Convolution, for discrete-time sequences, is equivalent to polynomial multiplication which is not the same as the term-by-term multiplication. Convolution also requires a lot more calculation: typically N2 multiplications for sequences of length N instead of the N multiplications of the term-by-term multiplication.