Question: Consider an open loop system having a transfer function (G(s)=(s+1)^{-1}). Find its output (c(t)) in LPWM-GBPF domain for a step input (u(t)) using the convolution

Consider an open loop system having a transfer function \(G(s)=(s+1)^{-1}\). Find its output \(c(t)\) in LPWM-GBPF domain for a step input \(u(t)\) using the convolution matrix. Consider \(m=8\) and \(T=1 \mathrm{~s}\), and choose the values of \(h_{0}\) and \(\delta\) to make MISE a minimum.

Compare the convolution results with direct expansion of the output and determine the percentage errors of different coefficients.

Step by Step Solution

★★★★★

3.61 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Replace the ellipses with your actual calculations for LPWM basis functions hvalue... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Digital Control System Analysis And Design Questions!

Consider the system of Problem 10.1. For the same values of \(m\) and \(T\), find its output \(c(t)\) in conventional BPF domain using the convolution matrix. Finally, compare the convolution result...

Consider the open loop system of Problem 10.1. Knowing the input and output, identify the system both in BPF domain and in LPWMGBPF domain using the "deconvolution" matrix, for \(m=8, T=1...

Consider the open loop system of Problem 5.6. After identifying the system using the "deconvolution" approach for \(m=8\) and \(T=1 \mathrm{~s}\), compare the result with the direct BPF expansion of...

Consider an open loop system having a transfer function \(G(s)=\) \((s+4)^{-1}\) with an S/H device at the input. For a unit step input \(u(t)\), find the output \(c(t)\) of the system by the...

Consider an open loop system having a transfer function \(G(s)=\) \((s+1)^{-1}\). Find its output \(c(t)\) in BPF domain for a step input \(u(t)\) using the convolution matrix. Consider \(m=4\) and...

Repeat Problem 5.2 for \(m=8\) and \(T=1 \mathrm{~s}\). Compare the two results and discuss. Data From Problem 5.2 Consider an open loop system having a transfer function \(G(s)=\) \((s+1)^{-1}\)....

Consider an open loop system having a transfer function \(G(s)=\) \(\left(s^{2}+4ight)^{-1}\). Find its output \(c(t)\) in BPF domain for a step input \(u(t)\) using block pulse operational transfer...

Consider an open loop system having a transfer function \(G(s)=\) \((s+4)^{-1}\). Find its output \(c(t)\) in BPF domain for a step input \(u(t)\) using block pulse operational transfer function...

Consider the open loop system of Problem 5.6. Identify the system for double the value of \(m\) keeping the time interval \(T\) same. Compute percentage error for each segment and make your...

Consider the open loop system of Problem 5.2. Knowing the input and output, identify the system using (a) the "deconvolution" matrix and (b) the recursive approach, for m = 8 m = 8 and T = 1 s T = 1...

Tom and Hanks is a regional convenience store with locations in several small towns along the Mississippi River. The quarterly revenue for the store beginning with the first quarter of 2005 and...

How, and under what conditions, does a company recognize a purchase obligation or a product financing arrangement in its financial statements?

7. Given the function f(x) = 7-x and g(x)=x-6, evaluate each of the following: 5 (a) f-1(3) (b) f(-17) (c) g(5) (d) g (-6) (e) f(2)+g (1) (f) f(4)-g(4) bne

What do you see as the basic advantages and disadvantages of each system?

A function e(t) is sampled, and the resultant sequence has the z-transform z - 2z E (2)=4 0.92 +0.8 Solve this problem using E(z) and the properties of the z-transform. (a) Find the z-transform of...

Find the z-transforms of the number sequences generated by sampling the following time functions every T seconds, beginning at t = 0 . Express these transforms in closed form. (a) e(t) = -at 8 (b)...

Give the closed form (i.e., the solution) for each of the following summations

Q2 James Morgan is an entrepreneur who established an IT software business in cloud computing named Arista Networks Ltd (Arista Networks) in West Perth, Western Australia. Arista Networks daily...

vDiscuss the major responsibilities of a credit department in a typical banking institution. v