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What are the restrictions of poles and zeros in driving point function?
In a driving point function, poles and zeros must adhere to specific restrictions to ensure system stability and physical realizability. Poles should be located in the left half of the complex plane for stability, while zeros can be placed anywhere, though their placement affects the system's response. Additionally, the number of poles must be greater than or equal to the number of zeros for the function to remain proper. This ensures that the driving point function behaves appropriately within the constraints of physical systems.
Why is it important to cancel common poles and zeros in the transfer function?
Canceling common poles and zeros in a transfer function is important because it simplifies the system's behavior and analysis. It helps to eliminate unnecessary complexity, revealing the true dynamics of the system and improving the accuracy of predictions. Additionally, this process can enhance stability and performance by clarifying the influence of remaining poles and zeros on system response. However, care must be taken to ensure that such cancellations do not lead to loss of important system characteristics or introduce non-minimum phase behavior.
What are advantages of z transform?
The Z-transform offers several advantages in the analysis and design of discrete-time systems. Firstly, it provides a powerful tool for solving difference equations, simplifying the process of system analysis. Secondly, it facilitates the study of stability and frequency response through its relationship with poles and zeros in the complex plane. Lastly, the Z-transform enables the efficient implementation of digital filters and control systems, particularly in the context of digital signal processing.
Is 12.4500 equivalent to 12.45?
Yes it is. The trailing zeros have no affect on the value.
Why do the products of multi digit numbers with zeros and one digit numbers sometimes have n zeros and sometimes they have no zeros?
The number of zeros in the product of multi-digit numbers with zeros and one-digit numbers depends on the placement of the zeros in the multi-digit numbers. If a zero is at the end of a multi-digit number, it effectively multiplies the other digits by ten, contributing to the count of zeros in the product. However, if the zeros are located elsewhere, they may not affect the overall count of zeros in the final product. Thus, the final count of zeros can vary based on the specific arrangement of digits.
What are the restrictions of poles and zeros in driving point function?
In a driving point function, poles and zeros must adhere to specific restrictions to ensure system stability and physical realizability. Poles should be located in the left half of the complex plane for stability, while zeros can be placed anywhere, though their placement affects the system's response. Additionally, the number of poles must be greater than or equal to the number of zeros for the function to remain proper. This ensures that the driving point function behaves appropriately within the constraints of physical systems.
What is minimum phase system?
The relation of "minimum" to "phase" in a minimum phase system or filter can be seen if you plot the unwrapped phase against frequency. You can use a pole zero diagram of the system response to help do a incremental graphical plot of the frequency response and phase angle. This method helps in doing a phase plot without phase wrapping discontinuities. Put all the zeros inside the unit circle (or in left half plane in the continuous-time case) where all the poles have to be as well for system stability. Use the angles from all the poles, and the opposite of the angles from all the zeros, to a point on the unit circle to calculate phase, as that frequency response reference point moves around the unit circle. Now compare this plot with a similar plot for a pole-zero diagram with any of the zeros swapped outside the unit circle (non-minimum phase). The overall average slope of the line with all the zeros inside will be lower than the average slope of any other line representing the same LTI system response (e.g. with a zero reflected outside the unit circle). This is because the "wind ups" in phase angle are all mostly cancelled by the "wind downs" in phase angle only when both the poles and zeros are on the same side of the unit circle line. Otherwise, for each zero outside, there will be an extra "wind up" of increasing phase angle that will remain mostly uncancelled as the plot reference point "winds" around the unit circle from 0 to PI. (...or up the vertical axis in the continuous-time case.) This arrangement, all the zeros inside the unit circle, thus corresponds to the minimum increase in total phase, which corresponds to minimum average total phase delay, which corresponds to maximum compactness in time, for any given (stable) set of poles and zeros with the exact same frequency magnitude response. Thus the relationship between "minimum" and "phase" for this particular arrangement of poles and zeros.
Adding poles and zeros to system affect stability?
By adding poles and zeros to the transfer function of a system we can affect its root locus and also the stability. If we add a valid zero to the T.F. it will shift the root locus towards left side of the s-plane and thus the stability increases. And if we add a valid pole reverse process of that of adding zero occurs... Ashish Sharma Astt. Professor
You can determine quickly the effect of adding poles and zeros by?
Root locus
In telegraphy how you are using frequency shift keying?
Like in modems, you make digital zeros one frequency and digital ones another frequency.
What is the meaning of poles and zeros?
poles are the plot of the transfer function of a system on the left side of the origin, in s-plane. zeroes are the right side plot. poles and zeroes specifies the absolute stability of the system.. they also gives the observability and controllability of the system..
Is 12.4500 equivalent to 12.45?
Yes it is. The trailing zeros have no affect on the value.
Poles and zeros of a driving point function of a network are simple and interlace on the jw axis The network consists of which elements?
L and C
The poles and zeros of a driving point function of a network are simple and interlaced on negative real axis with pole closest to the orginWith what type of network can it be realized?
The network function h(s) is actually the ratio of two polynomials functions i.e s(a) /s(b),The roots of the s(a) function are called zeros and the roots of the s(b) function are called poles.
Why do the products of multi digit numbers with zeros and one digit numbers sometimes have n zeros and sometimes they have no zeros?
The number of zeros in the product of multi-digit numbers with zeros and one-digit numbers depends on the placement of the zeros in the multi-digit numbers. If a zero is at the end of a multi-digit number, it effectively multiplies the other digits by ten, contributing to the count of zeros in the product. However, if the zeros are located elsewhere, they may not affect the overall count of zeros in the final product. Thus, the final count of zeros can vary based on the specific arrangement of digits.
How many zeros in one lake?
The phrase "one lake" contains one zero, represented by the letter "o" in the word "one." If you meant something else by "zeros," please clarify for a more accurate response.
When an RC driving point impedance function has zeros at s -2 and s-5 then the admissible poles for the function would be?
3
