Analytically determine the time response (i.e.
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
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...
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)
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.
Task 4. Show analytically that the frequency responses (FRs) of MA2 and FD2 are, respectively and provide your calculations in the Report. For both filters, plot the magnitudes of the FRs. i.e.. HMA2(ejn)l and [HFD2(eJN)| versus Ω For both filters, plot the gain functions (in dB), ie.. ĢMA2(Q) = 20 logiolHMA2(e, and ĢFD2(Ω) [0, π]. With the help of these plots, try to explain better your results from Tasks 2 and 3. 20 logo HFD2(en) versus Ω e 0, π]...
4. Draw the response of the system's output over the control horizon, i.e., for three time steps. Note that the final state, although very small, is not absolute zero due to the penalty over energy consumption. 4. Draw the response of the system's output over the control horizon, i.e., for three time steps. Note that the final state, although very small, is not absolute zero due to the penalty over energy consumption.
Q3 ) Use numerical integration with n=3 to determine the following integration then solve it analytically using a proper method of integration and compare results. Inx dx