Problem 1 (5 pts for each property. 40 pts total). For the DT system in textbook problem 2.28, page 144, determine whether the system is causal and stable. You must explain your reasoning. You only need to consider (a) to (d). (2 properties for each system, one for causality and one for stability, 8 properties in total). Ay = AxAh. 2.28. The following are the impulse responses of discrete-time LTI systems. Determine whether each system is causal and/or stable. Justify your answers. (a) h[n] = ("u[n] (b) h[n] (0.8)"u[n + 2] (c) h[n] = (¹)"u[n] (d) h[n] = (5)"u[3 - n]

This is a practice question from the Signal and Systems course of my Electrical Engineering Program. Could you please walk me through the steps for solving this? Thank you for your assistance.

The discrete-time signals in Figure below are plotted as shown (a (a)- plot the following: i- xa[2n], ii- xa[-n/4], iii- xb[-5-n] (b)- find z(n)= xa[-n+1] + xb[n+1], and plot the signal z(n). (c)- plot 2x[n]+2. (d)- find an even and odd parts of the signal in xa(n). (e)- determine the energy for the signals xb(n) [u(n-1)-u(n-5)] and xa(n)[u(-n+3)-u(n-4)] 3 -6-5-4-3-2-1 0 5 0 x[n] 1111-2- -6-5-4-3 FILL 01 2 3 4 5 6 7 n (b)

Kelvin body. Please draw two cycles and what is happening at each step. thank you!

Express the signal x(t) shown in the figure below using basic functions (Unit-impulse, Unit-step, Unit-pulse, Unit-ramp, Unit-triangle)

1) It is desired to measure a voltage that has a range of -10V to 10V and needed a resolution of 0.2 mV/step or smaller which A to D converter would be the best option if your choices were between 14, 16, 18, 20 and 22 bits.Remember you want to a DAQ with the minimum number of bits to meet your needs to save money. 2) An ultrasonic ranging device sends at pulse out attime = 0 seconds and receives a return echo at time = 25 ms. What is the distance to the object? Assume the speed of light is 3∙108meters/second and the speed of sound is 340.29 meters/second. 3) If you used multiplexing to read 7 sensors with a data acquisition device that had a sampling frequency of 10 kS/s (kilo samples per second), what is the fastest update time (sampling period) you could achieve for each sensor (in μs)?

BC:3.4 Consider the LTI (linear time invariant) dis- crete time systems with the following impulse re- sponses, h[n]. For each system, determine whether or not the system is causal or noncausal and whether or not the system is FIR (finite impulse response) or IIR (infinite impulse response). Give a brief justifi- cation. a.) b.) h[n] = (1.25e-j0.35)2—nu[n – 10] h[n] = (1.25e-j0.35π)2—nu[n + 14] c.) h[n] = (1.25e-j0.35π)4-n (u[n + 4] - u[n – 4]) d.) h[n] = (1.25e¯j0.35″)4—nu[n-4]-(1.25e-j0.35″)4—nu[n—6] e.) h[n] = (1.25e¯j0.35″)4—nu[n-4]-(1.25e¯j0.35π)6—nu[n—6]

plz provide step by step answer for question 1.26 asap

b[n] - b[n-1] = a[n] -2a[n-1] + a[n-2] The above expression describes the output,b[n] & input,a[n] of a certain discrete time system. Assumption: Input, a[n]  to the system is described by a[n] =5δ[n] i. Make a sketch of the output,b[n] & input,a[n] for n= -1 : 5 ii. Determine the output,b[n] for n= -1 : 5

Part d,e,f