What is minimum phase and maximum phase system?

A causal stable LTI system E with transfer function H(z) with all zeros inside the unit circle is called minimum phase. A causal stable system E with transfer function H(z) with all zeros outside the unit circle is called maximum phase.

What do you mean by minimum and non minimum phase systems give an example of each?

Minimum phase system: It is a system in which poles and zeros will not lie on the right side of the s-plane. In particular, zeros will not lie on the right side of the s-plane. Non-minimum phase system: It is a system in which some of the poles and zeros may lie on the right side of the s-plane.

What is minimum phase type and non minimum phase type?

For a minimum phase system,all of its poles and zeroes lie in left half S plane whereas for a system to be non minimum phase atleast one pole or zero must lie in right half S plane.

How do you know if a system is a minimum phase?

A transfer function G(s) is minimum phase if both G(s) and 1/G(s) are causal and stable. Roughly speaking it means that the system does not have zeros or poles on the right-half plane. Moreover, it does not have delay.

What is a maximum phase system?

A maximum-phase system is the opposite of a minimum phase system. A causal and stable LTI system is a maximum-phase system if its inverse is causal and unstable. That is, The zeros of the discrete-time system are outside the unit circle.

What is a minimum phase wavelet?

The minimum phase wavelet has a short time duration and a concentration of energy at the start of the wavelet. It is zero before time zero (causal). An ideal seismic source would be a spike (maximum amplitude at every frequency), but the best practical one would be minimum phase.

What is maximum phase system?

Maximum and Minimum phase:A maximum-phase system is the opposite of a minimum phase system. A causal and stable LTI system is a maximum-phase system if its inverse is causal and unstable. That is, The zeros of the discrete-time system are outside the unit circle.

What is a maximum phase filter?

A maximum phase digital filter has all zeros outside the unit circle, and has the maximum phase and therefore longest delay for a given magnitude response. Besides the possibility of needing a filter with the longest delay possible, are there other practical applications and uses of the maximum phase filter?

What is a minimum phase filter?

Minimum phase filters sometimes are called minimum energy delay filters because the energy of the impulse response is maximally concentrated toward the beginning of the impulse response. All zeroes in a maximum phase FIR filter are outside or on the unit circle.

What are phase characteristics?

in linear circuits, a graphic curve expressing the dependence of the phase shift between the harmonic oscillations at the input and output terminals on the frequency of the harmonic oscillations at the input.

What is the phase of seismic data?

Phase in seismic data is simply known as the lateral time delay in the start of a reflection recording, and because it is amplitude-independent, phase can be used as a good continuity indicator in poor reflectivity areas in the seismic data with a higher sensitivity to reflection discontinuity caused by pinch outs.

What is phase in digital signal processing?

In electronic signaling, phase is a definition of the position of a point in time (instant) on a waveform cycle. Lagging phase refers to a wave that occurs “behind” another wave of the same frequency. When two signals differ in phase by -90 or +90 degrees, they are said to be in phase quadrature .