Howtosignalprocessing
- How do you calculate linear phase response?
- Why is the linear phase important for a signal to be distortion less?
- Why is a linear dependence of phase on frequency ideal for a filter?
- What is the condition for linear phase in FIR filters?
How do you calculate linear phase response?
The formula is simple: given a FIR filter which has N taps, the delay is: (N – 1) / (2 * Fs), where Fs is the sampling frequency. So, for example, a 21 tap linear-phase FIR filter operating at a 1 kHz rate has delay: (21 – 1) / (2 * 1 kHz)=10 milliseconds.
Why is the linear phase important for a signal to be distortion less?
So if the phase is linear then all the frequency components of the signal will undergo the same amount of delay in time-domain which results in shape preservation.
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.
What is the condition for linear phase in FIR filters?
For a FIR system to have a linear phase the condition for impulse response is h(n)=±h(M−1−n)⋅ If h(n)=h(M−1−n) then the FIR is symmetrical around and if h(n)=−h(M−1−n) then the FIR is anti symmetrical around the centre coefficient.
