Analytically determine the time response (i.e.




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1. Convolution of Discrete Time Signals Analytically determine the convolutions: (a) Find yn]-nun], where un] is the unit step (b) Find yln] z[n] when, where 131 <1
Analytically solve for the response y[t] of the system h[t]=2e‐10t for a pulse input x[t] of width 1, 10 or 100 msec with its amplitude such that its width times its amplitude is equal to .1 a.) For each pulse, solve assuming it is an ideal impulse (i.e. use convolution integral) b.) solve not making this assumption (i.e. use convolution integral). c. ) Plot your results Matlab and also calculate the response using the conv command in Matlab.
On MATLAB
Problem 1 (ME363/ME367) Analytically compute and numerically approximate the free response the following first-order, resistor- capacitor circuit, where capacitance, C-50pF (pico-Farads) and resistance, R-200ΜΩ (mega-Ohms), for an starting voltage of 2V. The voltage, v(t), represents the potential difference across the both resistor and capacitor, which are wired in parallel 1 Cv(t)v(t)-i(t) Required steps Define a time vector called t, from 0 to 0.1s with 1000 total points. Determine the time constant,T, for this system. By hand, solve for...
Analytically compute and numerically approximate the free response the following first-order, resistor- capacitor circuit, where capacitance, C-50pF (pico-Farads) and resistance, R-200ΜΩ (mega-Ohms), for an starting voltage of 2V. The voltage, v(t), represents the potential difference across the both resistor and capacitor, which are wired in parallel. COD-i() iii. By hand, solve for the free response of v(t) in terms of C and R
Analytically compute and numerically approximate the free response the following first-order, resistor- capacitor circuit, where capacitance, C-50pF...
Please solved it in time domain No z domain Consider the following discrete-time LTI system ?[?] − 0.3?[? − 1] − 0.04?[? − 2] = ?[?] + 2?[? − 1] with the initial conditions ?[−1] = 3, and ?[−2] = 0, and the input ?[?] = 3??[?]. (a) Determine the total solution, analytically. (b) Determine the total solution using MATLAB. Compare the results between (a) and (b) by plotting the difference for 0 ≤ ? ≤ 20 (c) Determine the...
1. Use the definition of Laplace transform and Table 6.1 on the textbook to analytically determine the Laplace transform of a time function f(t)- t2. 276 CHAPTER 6 The Laplace Transform Table 6.1 Laplace Transform Pairs F(s)
Consider the following discrete-time LTI system ?[?] − 0.3?[? − 1] − 0.04?[? − 2] = ?[?] + 2?[? − 1] with the initial conditions ?[−1] = 3, and ?[−2] = 0, and the input ?[?] = 3??[?]. (a) Determine the total solution, analytically. (b) Determine the total solution using MATLAB. Compare the results between (a) and (b) by plotting the difference for 0 ≤ ? ≤ 20 (c) Determine the zero-input response, analytically. (d) Determine the zero-input response using...
Determine resultant force analytically given 150g at 30° and 250g at 115°.
Question 2. (25 marks) Design a discrete time low-pass IIR filter operating at a sampling rate of 8 kHz such that its magnitude response is monotonic (i.e., smooth with no ripples) and satisfies the following conditions (i) The magnitude response has an attenuation of at least 20dB at 2000 Hz (ii) The magnitude response has an attenuation of at most 2dB at 1000 Hz Determine the transfer function, H(z) A. 120 Marks] sketch the Direct Form II structure of the...
3. Determine the convolution of rectuln +) and recol"-). Do this analytically first and plot the result by hand. Then use the conv command in MATLAB to compute the convolution of these two signals. Also plot the result.