### Matched Filter Theory

Find the impulse response of a filter matched to the signal in the attached problem.

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Find the impulse response of a filter matched to the signal in the attached problem.

Please supply steps to correct answer: For a CLOSED LOOP unit feedback control system, if reference (R) is eqaul to 5 units, and forward path Gain (G) is equal to 10, then the system output (Y) must be: (a) 50 (b) 4.54 (c) 5 (d) 10/11 (e) 0.454

The questions are for the equation: y"(t) + 6y'(t) + 34y(t) = 2x'(t) + 11x(t) a) Compute the transfer equation Y(s)/X(s). b) Compute the response of the system to the input x(t)=e^(-2t) u(t) assuming no initial stored energy. c) Compute the response of the system to the input x(t)=4t^2 * e^(-6t) u(t).

Question: Find the values of k for the system in part a) and the values of alpha for part b). Please view the attachment file to see the full questions for parts a) and b).

Given the Bode plot of open loop L(s)=..., (i) Make a sketch of the Nyquist diagram and determine the stability of the closed loop system with negative feedback.(ii)If the system is unstable... (See attachment for full questions)

This is perhaps more of a mathematical question nonetheless, I'm unsure how (cant seem to arrive at the result) substituting equation 3-27 into 3-23 results in 3-28. Please see the attachment.

Roughly sketch the Bode diagram, and hence the complete Nyquist diagram for: {see attached} Proportional control of the plant {see attached} in a standard negative feedback 2DOF structure (with an ideal sensor) is to be investigated {see attachment for questions}.

Consider the root locus for ... (*see attachments for function and diagram) i) Graphically, find the gain required to give dominant closed loop poles with ... (*see attachment for function) ii) For the above value of gain, find natural frequency and hence sketch the expected reference to output step response, assuming that the

In order to delimit messages from a stream of bits being exchanged on a data link, a sender marks the beginning and end of each message with a control flag. In order to prevent the receiver from inadvertently detecting the end of a message when a pattern in the data matches the control flag, the sender stuffs extra bits or chara

A system described in the attachment is under feedback control of the form u = Kx + r where r is the reference input. (i) Show that (A,C) is observable. (ii) Compute a K of the form {see attachment} so that (A - BK, C) is unobservable. (I.e., the closed loop system is unobservable) (iii) Find the transfer function of the open

Please consider the attached motor control system. (i) Find the characteristic equation of the closed loop system, and find the amplifier gain K1 so that the natural frequency of the system is {see attachment} (ii) Suppose that K2 = 1. Sketch the root locus of the closed loop system poles for {see attachment} (iii) For what v

Consider a negative gain root locus for L (s) = k (s-1)/[s(s^2 + 4s + 8)] with a scale of 20mm = 1 unit. i. Graphically, find the gain required to give dominant closed loop poles with zeta = 0.5. ii. For the above value of gain, find natural frequency and hence sketch the expected reference to output step response, assuming

I attached a Word document with a circuit: a) Draw a block diagram of the circuit in feedback control system form. b) Derive an expression for Io in terms of Vi and the system parameters Av, Ro, RL, and Rf. c) How should the system be designed to make Io independent of RL? What is the approximate expression for Io in terms

Please see attachment.

1. A company needs to provide sufficient private trunks between two switches to accommodate 90% of call attempts among employees during the busy hour. Assume that there will be 560 callers at random times during that hour, and that call duration averages 3 minutes. Employees are instructed to attempt to call using a trunk; if bl

Consider the attached system under feedback control and answer the listed questions please.

Please see attachment for full question on PI controller proportional and integral to the given plant. The inverse Nichols chart mentioned in the question is also attached for convenience.

Suppose two tones are input in to an amplifier. The tones are pure sinusoids with one at frequencies 8GHz and the other at frequency 8.03GHz,(delta f =0.03GHz). Assume that the transfer characteristic of the amplifier is represented by Vout= ko + k1Vin +k2Vin^2 +k3Vin^3...+k9Vin^9. List the output frequencies of all 3rd order (t

Given the plant, P(s) = {see attachment}, a proportional and integral (PI) controller, G(s) = {see attachment} is to be designed to achieve the following specifications ... *Please see attachment for complete question (including specifications)

Sketch the root locus for the following closed loop system {see attachment} as {SYMBOL1} varies from -{SYMBOL2} to +{SYMBOL2}. You should calculate all steps and show the positive and negative gain loci. It is recommended that you first find the positive locus and then sketch the negative {SYMBOL2} locus. (Real axis solutions o

Please help me solve the following problems. Problem 1: Consider the following circuit (see attached). IC 1 is a 3-bit asynchronous (ripple) counter, positive-edge triggered. At higher speeds propagation delay will affect the proper function of the counter so that the counting sequence is altered. Glitches will be produced

Please refer to the attached file. Consider the attached unity feedback system with plant transfer function... (attached)

Use any method to determine the inverse z transform for the following function: X(z) = (z^3-2*z)/((z-2) - left sided sequence

A discrete time system is described by the following transfer function: H(z) = 1 + 2z^(-1)/(1-(1/2z^(-2))) a) Give a block diagram to implement the system using delay elements, multipliers, and adders. Use the smallest possible number of delay elements (all of the same delay). b) Find the impulse response of the system.

2.a) Using the result for P(I) in Question 1, prove that the n-th moment of complex Gaussian noise is {I^n} = n!(2sigma^2)^n You may use the following result for the Gamma integral Gamma(n-1) = n! = integral x^n exp(-x)dx. b) Hence, obtain an expression for the normalized moments {I^n}/{I}^n c) Deduce that the v

VLSM Exercise Details are : ---> VLSM Exercise: Site A 60 users Serial links Site B Site C Site D Site E 20 users 10 users 10 users 48 users You are given the 192.16.15.0 address. Effectively address all router interfaces using VLSM. Each side of the arrows is a serial interface. Each site has an Ethernet

For the process, P = 1/(s + 1)(s + 2), design a PI controller, G = (k_p)(s + 1/T_i)/s, to have a closed loop dominant pole pair with w_n = 1.3 and delta = 0.5. Design T_i and then k_p using root locus methods.

An AC-AC converter is used to obtain a variable AC output voltage Vo from a fixed AC source and a single-phase converter with a TRIAC. a. True b. False

2. Given a 16-to-1 Multiplexer, how many of the following are required: a) Inputs _______ b) Outputs _____ c) Control signals ______ 3. Given the following information: 1. 1024 words (1K) 16 bits/word 8 bits/byte How many bytes are available? _______ 4. Convert the following numbers as indicated a) 255 decim

For a band pass system with unit step input. (See attachment for equations.) For a CD player, a step force of 2N must result in a head velocity error of not more than...(See attachment for details.)