Howtosignalprocessing
- How do you calculate group delay?
- What is a group delay response?
- What is the significance of group delay?
- How do you find the impulse response of a group delay?
How do you calculate group delay?
τ g ( ω ) = - d θ ( ω ) d ω , where θ ( ω ) is the phase, or argument, of H ( e j ω ) . Use the grpdelay function to compute group delay of a filter. For example, verify that, for a linear-phase FIR filter, the group delay is one-half the filter order.
What is a group delay response?
The so-called “group delay” is simply the time lag between the envelope of input burst and the envelope of the amplitude of the output burst. So, group delay means a propagation delay through a filter, measured on the envelope of the signal.
What is the significance of group delay?
The group delay functions offer insight into the problem of signal reconstruction and suggest methods for reconstructing signals from partial information such as spectral magnitude or phase.
How do you find the impulse response of a group delay?
x(t) = p(t) cos(ω t). Looking at the waveform of input and output signals, the group delay can thus be measured by the time difference from the input pulse envelope peak to the output pulse envelope peak. In contrast, the sinusoid will be shifted by the amount dictated by the phase response of the filter at ω.
