Discrete - Time System Identification You are given a causal discrete-time linear time - invartiant (LTI) system with unkown impulse response h[n] to analyze. When the five-sample causal signal x[n] given below is input into the unkown system, the response y[n] is six samples long and causal, as shown below. x[n] 4 2 123456 x-[1234500]; y=[11111-50]; y[n] 4 2 n 5 n 12 2 3 4 6 -2 -4

Please solve this problem

The process of converting discrete-time continuous valued signal into discrete-time discrete valued (digital) signal is known as a) Sampling b) Quantization c) Coding d) None of the mentioned

a) Convert the analog voltage E(t) = 5 sin(2nt) mV into a discrete time signal and show your answer in time domain graph. Specifically, use a data set of 8 points and sample time increments of i) 1/8 second ii) 0.75 second As a signal analyst, discuss obvious differences between the discrete representations of the analog signal. Propose the optimum sampling rate and block size setting for the given input signal to be measured in real-time; with appropriate resolution. Hence, present your answer in time domain graph.

Find the transfer function of the graphical output given to you by the customer, shown below and you are asked to determine the number transfer function. Your answer should be stated as Y(s)/R(s) knowing the canonical 2nd order form. You can read the Precent Overshoot, the time to peak (Tp), the settling time, Ts, and the Mp, maximum amount of overshoot. Assume that there is a Unit step applied to this second order system. You must show all work. Final Answer in Box must follow the standard form, shown for your help. P.O.= 100e-<#//IR G (s) = g2+2(Wn&+w 1.4 T, : 1.2 1.0 4 T, = 47 = 0.8 0.6 0.4 Mp = e-5//1-g2 0.2 니5 Time (s) 2 3. Response

1) y(t) = 3e-2tu(t)The function above defines the model of a signal from the braking activities of a vehicle.a)sketch the signal using the information above.b)Determine the power & energy of the signal. 2) A sensor is used to capture voltage signal y(t) from a volcanic eruption & passed through an active highpass filter system for processing.a)Make a circuit diagram sketch for the process.b) Derive an expression for the transfer function of the system. c)Cut-off frequency = 2.5kHz & Input voltage = 20mVUse the above data to determine the values of the circuit components needed to produce an output of five volts. d) Suppose a two volts input voltage is applied to the filter system,  In terms of unit step function, i) what is the expression for this input? ii)Determine the output z(t) of the system. Assumption: All the circuit components in the transfer function equation have unity values.

please answer with solution. An analog signal with a bandwidth of 36MHz is sampled at a frequency (fs) of 72,000,000 samples per second during the ADC (analog-to-digital conversion) process. What is the outcome of the received signal after the DAC (digital-to-analog conversion) process? a. the signal will have experienced aliasing b. the signal will not experience aliasing c. the signal will not experience quantization errors d. none of the above describes the outcome

6. In general, a third-order system can be approximated by a second-order system's dominant roots if the real part of the dominant roots is less than 1/10 of the real part of the third root. True or False 7. The number of zeros of the forward path transfer function at the origin is called the type number. True or False 8. The rise time is defined as the time required for the system to settle within a certain percentage of the input amplitude. True or False 9. For a second-order system with no zeros, the percent overshoot to a unit step is a function of the damping ratio only. True or False 10. A type-l system has a zero steady-state tracking error to a ramp input. True or False

Problem 2. Consider the LTI system defined as y[n] = 0.5y[n–1]+2x[n]+ x[n–1] Q1. Is the system stable? Causal? Q2. Determine the output signal y[n] when then the input is x[n]=u[-n]with u[n] the unit step sequence. (Recall: write the input sequence as the sum of a causal plus an anticausal sequence)

A continuous - time signal for a duration of 2.5s is uniformly sampled without aliasing and generating a finite length sequence containing 5000 samples. What is the highest frequency component that could be present in the continuous time signal