Question One (a) The Impulse Response of a second order system is given by h(t) where: h(t) 4000e...
Question One (a) The Impulse Response of a second order system is given by h(t) where: h (t) 4000 e 3000 e20 where the time, t, is given in milliseconds (ms) and h(t) is considered to be the resulting voltage in volts. (0) Derive the Transfer Function, the Laplace Transform H(s) of h(t). (i) Using part (0, write out the Frequency Response, H(jo), of the second order (ii) Express the Frequency Response obtained in part (i) as a single response...
1- Let's consider an LTI system with an impulse response of where Wo a) Find H(s) and the associated H(ja) b) For the cases of μ:0.2, 0.5, 1.0, and 2.0 sketch frequency spectra c) What type of filter can this system represent? d) How does the spectrum HI(jw) change as μ increases? Explain? 2- Consider the following waveform f(t) which is a one cycle of a sinusoid for 0 t π in seconds while zero elsewhere (Aperiodic Signal) fit) 10...
Consider the LTI system with input ??(??) = ?? ?????(??) and the impulse response ?(??) = ?? ?2????(??). A. (3 points) Determine ??(??) and ??(??) and the ROCs B. (3 points) Using the convolutional property of the Laplace transform, determine ??(??), the Laplace transform of the output, ??(??) C. (3 points) From the answer of part B, find ??(??) 9 points) Consider the LTI system with input x(t)eu(t) and the impulse response h(t)-e-2u(t) A. 3 points) Determine X(s) and H(s)...
Fourier transform of the impulse response of a system is: Same as the frequency response Same as step response 0 None of the above Same as Laplace transform of the impulse response
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we analyce the denominator and use partial fraction expansion to write H() in the form Then we notice that each of these fraction terms is the Fourier of an exponentiol multiplied by a unit step as per the Table J (b) What is the output y(t) from the system if...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
need asap 1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as following h(t) 6u(t) where u(t) is unit step function. The output(Y (s)) is expressed as the product of input (R(s)) and transfer function Y(s) = R(s)H(s) The Laplace transform is defined as LTI system R(H) Y (s) Figure 1: LTI system in s-plane (a) (5 points) Find the tranisfer function(H(s)) of the LITI system. (b) (5 points) Find the Laplace transform of the input(r(t)....
A continuous-time LTI system has unit impulse response h(t). The Laplace transform of h(t), also called the “transfer function” of the LTI system, is . For each of the following cases, determine the region of convergence (ROC) for H(s) and the corresponding h(t), and determine whether the Fourier transform of h(t) exists. (a) The LTI system is causal but not stable. (b) The LTI system is stable but not causal. (c) The LTI system is neither stable nor causal 8...
Question 33 1 pts Fourier transform of the impulse response of a system is: Same as Laplace transform of the Impulse response Same as step response Same as the frequency response None of the above Question 34 1 pts The total energy of a signal can be calculated in time domain or the frequency domain. This is a result of: None of the above Parseval's theorem Laplace theorem Fourier theorem
3. (20 points) A system has an impulse response given by h (t) sin (2t) rt (a) Find the frequency response function of this system H (w). (b) Find the frequency domain output Y (w) if the input to the system is z (t) cos (3t).