Linear Phase Filters and FFT

1. What is the use of FFT in linear filtering?
2. What is a linear phase filter?
3. What is a FFT filter?
4. Why is a linear dependence of phase on frequency ideal for a filter?

What is the use of FFT in linear filtering?

The FFT algorithm reduces drastically the number of arithmetic operations required to compute discrete Fourier transforms and is easily implemented on most existing computers. Thus, it is usually advantageous to compute linear filtering processes via the circular convolution property of the DFT with the FFT algorithm.

What is a linear phase filter?

Linear Phase Filters (Digital Filter Design Toolkit) Linear phase digital filters allow all the frequency components of an input signal to pass through the filter with the same delay, which means that the group delay through the filter is a constant value independent of the frequency.

What is a FFT filter?

18.2 FFT Filters

FFT-Filter. Filtering is a process of selecting frequency components from a signal. Origin offers an FFT Filter, which performs filtering by using Fourier transforms to analyze the frequency components in the input.

Why is a linear dependence of phase on frequency ideal for a filter?

The Effects of Linear Phase on the Time Domain

Linear Phase filters are desirable for certain applications because they maintain the shape of the input signal. Signals in the stop-band or transition-band may be severely attenuated but we can still see this effect in the pass-band.